The cannonball goes as high a s69.84 m and time took for the cannonball to reach the peak is 3.77 seconds.
The rate of change of relegation is haste & the rate of change of haste is acceleration. using these two statements we decide equations called kinematic equations.
dv = ds/dt , da = dv/dt.
Derive equations are:
v = u + at
2as = v²−u²
s = ut + 1/2at²
For max height use the formula
vf² = vo² + 2ad
At the max height, the velocity is zero, so...
(0) = (37)² + 2(9.8)(d)
d = 69.84 m
So, cannonball reaches the height of 69.84 m
For the time to get to that height, apply
vf = vo + at
0 = 37 + (9.8)(t)
t = 3.77 sec
Time for it to reach the peak is 3.77 seconds.
Learn more about Height and Time :
https://brainly.com/question/17244730
#SPJ4
5.Velvet is a new mom who wants to use some information to help raise her daughter. What advice can you give her on maturation, growth cycles, and critical periods?
The most critical years for a child's growth are from birth to age three. Good nutrition, emotional support, play, and language development are all variables that support development.
What does child development mean by growth and maturation?
The tangible and measurable process of development is growth. One measurable change is your physical height, which increases with time. Growth leads to the development of personality and behavioural traits, which is called maturation.
The phrase "critical period" in ethology refers to a certain period of an organism's early development when it is able to master skills necessary for survival. These factors have an effect on how systems like hearing and vision, social bonding, and language learning develop.
To learn more about critical period use link below:
https://brainly.com/question/2391797
#SPJ1
Explain why elements produce their own characteristic colors when they emit photons? Calculate the frequency (Hz) and wavelength (nm) of the emitted photon when an electron drops from the n = 4 to the n = 2 level in a hydrogen atom.
(a) The colors that elements emit when they emit photons are due to the specific energies associated with different electron transitions within the element's atoms.
(b) The energy difference is 0 eV, the photon will not be emitted and there will not be a frequency or wavelength associated with it.
What is the frequency emitted?To calculate the frequency (f) and wavelength (λ) of the emitted photon, we can use the following formula:
f = E/h
where;
E is the energy difference between the two levels and h is Planck's constant.The energy difference can be calculated using the formula:
E = (13.6 eV) / n^2
where;
eV is the electron volt, n is the principle quantum number.Plugging in the values for n = 4 and n = 2, we get:
E = (13.6 eV) / 4^2 - (13.6 eV) / 2^2
= 3.4 - 3.4 eV
= 0.0 eV
Learn more about frequency here: https://brainly.com/question/10728818
#SPJ1
A) What is the speed of a satellite in a geosynchronous orbit about Earth?
B) Compare it with the speed of the Earth as it orbits the Sun.
Answer:
A) The speed of a satellite in a geosynchronous orbit about Earth is approximately 3 kilometers per second (km/s).
B) The speed of the Earth as it orbits the Sun is approximately 29.8 kilometers per second (km/s). The speed of the satellite in a geosynchronous orbit about Earth is much slower compared to the speed of the Earth as it orbits the Sun.
Explanation:
in activity 1-1, how do you expect that your position-time graph will differ from those you observed in lab 1, where you were moving with a constant velocity?
If moving with a constant velocity, the position-time graph is a straight line with a constant slope.
What is a position time graph?
A position-time graph, also known as a displacement-time graph or distance-time graph, is a visual representation of the relationship between an object's position and time. In this type of graph, the position of an object is plotted on the vertical y-axis, while the time is plotted on the horizontal x-axis.
The position of the object at a specific time is shown by a point on the graph. Connecting these points results in a line that represents the object's motion over time. The slope of this line can provide information about the object's velocity or speed.
Position-time graphs are commonly used in physics to study the motion of objects, such as in the analysis of freefall, projectile motion, and uniform circular motion. By examining changes in position over time, scientists can calculate acceleration, displacement, and other important characteristics of an object's motion.
Therefore,If moving with a constant velocity, the position-time graph is a straight line with a constant slope.
To learn more about position time graph from the given link:
https://brainly.com/question/25225415
#SPJ1
If you are moving with an accelerating velocity in Activity 1-1, then your position-time graph will be curved instead of linear.
What is velocity?Velocity is a vector quantity that measures the rate of change of an object's position. It is the rate at which an object's position changes over time and is usually expressed in terms of meters per second. Velocity can be calculated by taking the displacement of an object divided by the time it took for that displacement to occur. Velocity can also be expressed in terms of speed and direction, as it has both magnitude and direction. Velocity can be further defined as the rate at which an object's momentum changes. Momentum is the product of an object's mass and its velocity. In addition, velocity is important for understanding the physics of motion, as it is related to acceleration, which is a measure of how quickly an object's velocity changes.
The curve will be increasing at a steeper and steeper rate, indicating that your velocity is increasing.
To learn more about velocity
https://brainly.com/question/29523095
#SPJ1
when dealing with an electrical emergency involving a downed power line, ______
When dealing with an electrical emergency involving a downed power line, it is important to follow certain safety precautions to avoid injury or further damage.
First, stay at least 10 meters (around 33 feet) away from the downed power line and any objects that it may be touching, as they could potentially be electrified.
Next, call 911 to report the downed power line and warn others in the area to stay away.
Do not attempt to move the power line or any objects it may be touching, as this could result in serious injury or death. Wait for emergency responders to arrive and follow their instructions. Remember, safety should always be the top priority in any electrical emergency.
Learn more about downed power line https://brainly.com/question/5503443
#SPJ11
Which statement about the Native Americans in Carolina is true?
A.The Yamasee Indians left Carolina and joined the Iroquois Confederacy.
B.The Carolina settlers nearly destroyed the Cherokee tribe.
C.The Yamasee Indians joined the settlers to fight against the Cherokee.
D.The Yamasee and Tuscarora Indians left the area for new homes.
The statement that is true about the Native Americans in Carolina is (D). The Yamasee and Tuscarora Indians left the area for new homes.
In the early 1700s, the Yamasee and Tuscarora tribes, who had been allies of the British settlers in Carolina, turned against them due to various issues, such as trading problems and the settlers' increasing encroachment on their lands. The tribes launched attacks on the settlements, which led to a war that lasted for several years. The settlers ultimately defeated the tribes, and many Yamasee and Tuscarora Indians were forced to leave the area and seek new homes elsewhere. The war and subsequent displacement of Native Americans had a significant impact on the development of Carolina and the relations between the British settlers and Native American tribes.To know more about tribes visit:
https://brainly.com/question/9582616
#SPJ1
the resultant static force acting on a submerged inclined plane surface acts: question 7 options: at the centroid of the submerged body above the centroid of the submerged body below the centroid of the submerged body
When a body is entirely or partially submerged in a liquid, the resultant pressure force acting on the body is known as the buoyant force.
When a surface is immersed in a fluid, the pressure force that results on the body operates in all directions perpendicular to the surface. We refer to this as hydrostatic pressure. The density of the fluid and the depth of the point below the surface of the fluid both directly affect the pressure at a given place in the fluid, which is the same in all directions. The pressure also rises as the depth does buoyant force. Any point in a fluid experiences pressure in all directions, making it a scalar quantity.
The weight of the fluid above the point of interest determines this pressure, which is described as the force applied per unit area. It is referred to be an isotropic quality of fluid when the pressure at a particular place in the fluid is the same in all directions.
Learn more about buoyant force here
https://brainly.com/question/28526066
#SPJ4
Why are positive charges free to move around in gases and liquids but not in solids?
A student conducts an investigation on a bar magnet with unlabeled poles. To determine which side of the magnet is north (N) or south (S), what steps can the student take?
A. The student can cut the bar magnet in half and observe the direction of the magnetic field on each individual piece.
B. The student can place the bar magnet near a nonmetal surface and observe the direction of the magnetic field on the surface.
C. The student can place the bar magnet near a metallic surface and observe the direction of the magnetic field on the surface.
D. The student can place the bar magnet near the known pole of a second magnet and observe the interaction between the poles.
Answer: D. The student can place the bar magnet near the known pole of a second magnet and observe the interaction between the poles.
Explanation: Magnets having the property that they attract the different poles and repel the same poles.
The better Investigation should be going to be conducted by the student is that by taking the known pole magnet and make the interaction with the unlabeled magnet.
step 1: choose the known magnet pole first (say S-pole).
step 2: make interaction of this pole with the any of two poles of unlabeled magnet.
step 3: if both magnets are attracting to each other, the pole will be North pole (N-pole), and if repelling to each other, the pole will be South pole(S-pole)
Now if we got the first Pole, the second will be obvious.
(since , magnets have two poles. N-pole and S-pole)
Know more about Magnetic Poles:
brainly.com/question/14997726
A brass rod is 2m long at a certain temperature.Calculate the linear expansion of the rod for a temperature change of 100K (Take the linear expansivity of brass as 1.8 x 10^-5K^-1)
Answer:
To calculate the linear expansion of a brass rod due to a temperature change of 100K, we can use the formula:
ΔL = α * L * ΔT
where:
α = linear expansivity of brass (1.8 x 10^-5K^-1)
L = original length of the rod (2m)
ΔT = change in temperature (100K)
Plugging in the values:
ΔL = 1.8 x 10^-5K^-1 * 2m * 100K = 0.036m
So the linear expansion of the brass rod due to a temperature change of 100K is 0.036 meters.
Peregrine falcons are known for their maneuvering ability. In a tight circular turn, a falcon can attain a centripetal acceleration 1.5 times the free-fall acceleration. Part A What is the radius of the turn if the falcon is flying at 22 m/s ? Express your answer with the appropriate units. ol ?
As per the question the radius of the turn is approximately 33.25 meters.
What is centripetal acceleration?An object travelling in a circular path will experience centripetal acceleration. It is always pointed in the direction of the circle's center, hence the formula:
a = v^2 / r
where a denotes the centripetal acceleration, v the object's speed, and r the circle's radius. According to this formula, the centripetal acceleration rises with the object's speed and falls with the circle's radius.
According to question:
We can start by using the centripetal acceleration formula:
a = v^2/r
where a is the centripetal acceleration, v is the velocity, and r is the radius of the turn.
In this case, we know that the centripetal acceleration is 1.5 times the free-fall acceleration, which is approximately 9.8 m/s^2. Therefore:
a = 1.5 * 9.8 m/s^2 = 14.7 m/s^2
We also know that the velocity of the falcon is 22 m/s. Plugging these values into the formula above, we get:
14.7 m/s^2 = (22 m/s)^2 / r
Solving for r, we get:
r = (22 m/s)^2 / 14.7 m/s^2 ≈ 33.25 m
Therefore, the radius of the turn is approximately 33.25 meters.
To know more about centripetal acceleration visit:
https://brainly.com/question/14465119
#SPJ4
10. A wheel with radius 0. 33 m and rotational
inertia 2. 0 kg. M2 spins on an axle with an
initial angular speed of 3. 0 rad/s. Friction in
the axle exerts a torque on the wheel,
causing the wheel to stop after 6. 0 s. The
average torque exerted on the wheel as it
slows down has magnitude
The average torque exerted on the wheel as it slows down has a magnitude of -1.0 Nm.
In this case, the average torque has magnitude T = Iα, where I is the rotational inertia of the wheel and α is the angular acceleration. Using the rotational kinematics equation ωf = ωi + αt, we can calculate the angular acceleration:
α = (ωf - ωi) / t
where ωf is the final angular speed, ωi is the initial angular speed, and t is the time. In this case, ωf = 0, ωi = 3.0 rad/s, and t = 6.0 s, so the angular acceleration is α = -0.5 rad/s2. Plugging this value into the equation for torque, we get
T = 2.0 kg.m2 x (-0.5 rad/s2) = -1.0 Nm.
The negative sign is showing torque is in the opposite direction of the initial angular velocity.
You can learn more about torque at: brainly.com/question/29024338
#SPJ11
when less energy is radiated from a terrestrial planet, its __________ increases until a new __________ is achieved.A. Temperature; equilibriumB. size; temperatureC. equilibrium; sizeD. temperature; size
The world doesn't grow in size to reach a new temperature. Nonetheless, until a new equilibrium is reached, the temperature will rise. Thus, option A is correct.
What is Equilibrium?When competing forces or influences are in a condition of equilibrium, a stable system results from the balance that results from the conflicting influences.
A terrestrial planet's heat budget gets out of balance when it emits less energy, which causes the planet's temperature to drop. The planet must raise its temperature until it radiates energy at the same pace as it receives it in order to reach a new equilibrium.
This process, known as thermal equilibrium, occurs when the amount of energy entering and leaving the system balances out, maintaining a constant temperature. Hence, as a terrestrial planet emits less energy, its temperature rises until a new equilibrium is reached.
Therefore, when less energy is radiated from a terrestrial planet, its Temperature increases until a new equilibrium is achieved.
Learn more about equilibrium here:
https://brainly.com/question/16989820
#SPJ1
an experimenter finds that standing waves on a string fixed at both ends occur at 15 hz and 20 hz , but at no frequencies in between. part a what is the fundamental frequency?
Due to the fixed ends, a wave that is propagating up the string in one direction will reflect at the end and return inverted. The standing wave on the string is created by these two similar waves moving in the opposite direction.
What are the standing waves on a string fixed?When two waves with the same frequency and amplitude move in opposition to one another and interfere with one another, a standing wave result.
The string's basic frequency is the lowest resonance frequency (n=1). As integer multiples of the fundamental frequency, all higher frequencies are referred to as harmonics. The strings on all stringed musical instruments are fastened at both ends.
The n frequency is related to the fundamental frequency by the eq.
[tex]f_{n}=nf_{1}[/tex]
or
[tex]f_{1}=\frac{f_{n}}{n} \: \: \: \: \: \:\: \: \: \: \: \: \: \: (1)[/tex]
besides, we know that,
[tex]f_{n+1}=(n+1)f_{1}[/tex]
or
[tex]f_{1}=\frac{f_{n+1}}{n+1} \: \: \: \: \:\: \: \: \: \: \: (2)[/tex]
matching eq. (1) to (2),
[tex]\frac{f_{n}}{n}=\frac{f_{n+1}}{n+1}[/tex]
[tex]f_{n}(n+1)=f_{n+1}n[/tex]
isolating n from this eq.,
[tex]n = \frac{f_n}{f_n+1- f_n} = \frac{15}{20- 15}[/tex]
Once got the n value, just insert in eq. (1) so you can know the fundamental frequency,
[tex]f_1= \frac{f_n}{n} = \frac{15Hz}{3} = 5Hz[/tex]
Therefore, 5Hz is the fundamental frequency.
Learn more about standing waves here:
https://brainly.com/question/14176146
#SPJ4
Pleasee help me on these
answers are: 1) 239 F, 2) 7.222C, 3) 299.15K , 4) 98.6 F, 5) -205.1C
Show the formulas along with calculation of temperature conversions?Formulas for converting temperature values between different units are referred to as temperature conversions. There are numerous ways to convert temperatures. The most popular units of measurement among these are Kelvin, Celsius, and Fahrenheit. The Kelvin scale states that water has a freezing point of 273.15K and a boiling point of 373.15K. Water has a freezing point of 32°F and a boiling point of 212°F on the Fahrenheit scale. The freezing point of water is 0°C, and the boiling point is 100°C, according to the Celsius system.
(115°C × 9/5) + 32 = 239°F
(45°F − 32) × 5/9 = 7.222°C
26°C + 273.15 = 299.15K
(37°C × 9/5) + 32 = 98.6°F
68K − 273.15 = -205.1°C
To know more about temperature visit:
https://brainly.com/question/11464844
#SPJ1
if all the mass of an electron were converted to electromagnetic energy, what would be the (a) energy of the photon, in joules and in million electron volts? (b) wavelength of the photon, in angstrom units?
a) Energy of the photon, in joules and in million electron volts is 8.1 x 10⁻¹⁴ Joule and 0.505 MV b) wavelength of the photon, in angstrom units is 0.0245 A.
The distance between two corresponding spots on the adjacent waves is the wavelength. Small, uncharged particles that move at the speed of light are called photons.
It is possible to make and destroy photons while maintaining momentum and energy. As a source emits EM waves, photons are produced, and when they come into contact with matter, they may be absorbed and have their energy transferred.
Mass = 9.1 x 10⁻³¹ kg
C = 3x10⁸ m/sec
a) Energy = mc²
= 9.1x10⁻³¹ x (3x10⁸)²
= 8.1 x 10⁻¹⁴ Joule
1joule = 6.24 x 10¹²
Energy E = 8.1 x 10⁻¹⁴ x 6.24x10¹²
E = 0.505 MV
b) E = h/λ
= 8.1x10⁻¹⁴
= 6.625 x 10⁻³⁴ x 3 x 10⁸/λ
λ = 2.45x10⁻¹² m
= 2.45x10⁻² A
= 0.0245 A
m = E/c²
= 1.3194x10⁸/(3x10⁸)²
= 0.1466 x 10⁻⁸ kg
m = 1.47 x 10⁻⁶ gram.
Learn more about Energy, wavelength of proton:
https://brainly.com/question/30143614
#SPJ4
Complete question:
If all the mass of an electron were converted to electromagnetic energy, what would be the (a) energy of the photon, in joules and in million electron volts? (b) wavelength of the photon, in angstrom units? 3.28. The thermal energy content of 1 U.S. gal (3.79 L) gasoline is 36.65 kW hours. To what weight of nuclear fuel, grams, does this amount of energy correspond?
A group of students must study the oscillatory motion of a pendulum. One end of a light string is attached to the ceiling, and the other end of the string is attached to a mass hanger so that small disks of various masses may be stacked on the hanger, as shown in the figure. Question Students are provided with data in which an experiment was conducted to determine the relationship between the length of the pendulum and the period of oscillation. The data include a pendulum of length 0.5m , for which it took 81 s for the pendulum bob to oscillate 10 times. However, the experiment was conducted at a location that is not near Earth’s surface. The gravitational field strength where the experiment was conducted is most nearly Responses 0.003N/kg
The relationship between the length of the pendulum and the period of oscillation is determined by the fact that the time period T of a simple pendulum is directly proportional to the square root of length l of the pendulum i.e., T∝√l or T2∝l.
What is Oscillation?Oscillation may be characterized as the methodology of repeating variations of any quantity or measure about its equilibrium value in time. The back-and-forth swinging motion of the bob of a pendulum is known as the oscillation of a pendulum.
The length of the pendulum = 0.5 m
The time duration for 10 oscillations = 81s.
The time duration for 1 oscillation = 81/10 = 8.1 sec.
But when this experiment was conducted at a location that is not near Earth’s surface. The gravitational field may have an effect on it. Due to this, the time taken by one oscillation is increased from 8.1 or more.
Therefore, the relationship between the length of the pendulum and the period of oscillation is determined by the fact that the time period T of a simple pendulum is directly proportional to the square root of length l of the pendulum.
To learn more about Pendulum oscillation, refer to the link:
https://brainly.com/question/26449711
#SPJ1
A traffic signal is supported by two cables, each of which makes an angle of 40. 0° with the vertical. If
each cable can exert a maximum force of 7. 50 × 102 N, what is the largest weight they can support?
the maximum weight that the cables can support is = 12.75 × 102 N.
The maximum force exerted by each of the two cables is 7.50 × 102 N. The maximum weight that the cables can support is the sum of the forces exerted by the two cables, which is 7.50 × 102 N + 7.50 × 102 N = 15.00 × 102 N.
To calculate the maximum weight, we can use the following equation:
Weight = Force × Sin (Angle)
Therefore, the maximum weight that the cables can support is 15.00 × 102 N × Sin (40°) = 12.75 × 102 N.
What is weight?
Weight is a measure of the force of gravity acting on an object. It is measured in units of mass such as kilograms, pounds, or ounces. Weight is a property of matter, meaning that it is always present in any object with mass, regardless of whether it is at rest or in motion.
Therefore, the maximum weight that the cables can support is = 12.75 × 102 N.
To learn more about weight
Here: https:brainly.com/question/18927138
#SPJ4
because its orbit is tilted with respect to the earth-sun plane, the moon spends most of its time either above or below the plane. how many times would the moon cross through the earth-sun plane each time it orbits earth? explain.
Instead of being in the same or a different location from Earth during its orbit, the Moon is often above or below the planet.
What angle does the Moon's orbit have with regard to that of the Earth?In comparison to the plane of Earth's orbit around the Sun, the Moon's orbit is tilted by around 5 degrees. This tilt causes the Moon to typically pass above or below the Sun when it is between Earth and the Sun as seen from Earth.
What is the name for the Earth's tilt angle *?The obliquity of the ecliptic, or axial tilt of the Earth, is around 23.5 degrees. This axial tilt causes the sun to shine at various angles throughout the year on various latitudes. The result is the seasons.
To know more about orbit visit:-
https://brainly.com/question/30208452
#SPJ1
in order to qualify for the finals in a racing event, a race car must achieve an average speed of 250 km/h on a track with a total length of 1600 m. if a particular car covers the first half of the track at an average speed of 230 km/h, what minimum average speed must it have in the second half of the event in order to qualify?
The minimum average speed must the car have in the second half of the event in order to qualify is 266.6km/hr.
Given the average speed of a race car (v) = 250km/hr
The total length of track (s) = 1600m = 1.6km
The initial average speed of car up to first half (v1) = 230km/h
Overall race duration divided by total average speed equals the amount of time that car can spend on the entire race.
total time(t) = 1.6/250 = 0.0064hrs
Let the time taken for first half = t1
such that t1 = 0.8/230 = 0.0034hr
The time left for second half = t2 = t - t1
t2 = 0.0064hrs - 0.0034hr = 0.003hr
The average speed for the second half of track = v2
then v2 = 0.8/t2 = 0.8/0.003 = 266.6km/hr
To learn more about speed click here https://brainly.com/question/28224010
#SPJ4
a bit of the sunlit side of the moon shows with the light side being on the left called___
A bit of the sunlit side of the moon shows with the light side being on the left called the illuminated crescent.
What is illuminated?
Illumination is the process of making an object or surface bright. It is most commonly used to refer to the artificial lighting of an area or object. In the scientific field, illumination is also used to refer to the reflection of light off a surface, such as a microscope slide or a cell culture plate. Illumination can be used to observe cells, measure chemical reactions and monitor light-sensitive materials. Illumination can also be used to detect light-emitting substances and identify particular components of a sample. In astronomy, illumination is used to study the properties of planets and stars. Illumination is also used to identify objects in space and observe the effects of light on distant galaxies.
Therefore, A bit of the sunlit side of the moon shows with the light side being on the left called the illuminated crescent.
To learn more about illuminated
Here: https://brainly.com/question/16683852
#SPJ4
Which properties most fundamentally distinguishes mechanical waves from electromagnetic waves?
Electric and magnetic fields are proportional, and transverse electromagnetic waves do exist in nature. and have oscillations that are parallel to one another and have the same phase. A medium is not necessary for electromagnetic waves to travel.
What are the properties of electromagnetic waves?Mechanical waves cannot pass through a vacuum, which is empty space, however electromagnetic waves can. They require a means of transportation, like water or air. The wave propagates in a direction that is opposite to both the magnetic and electric fields.
Two waves that are oscillating perpendicular to one another make up electromagnetic waves. One is represented by the oscillating magnetic field, while the other is represented by the oscillating electric field.
Therefore, Mechanical waves include things like pond ripples while electromagnetic waves, like light and radio signals, can move through space's vacuum.
Learn more about electromagnetic waves here:
https://brainly.com/question/16515517
#SPJ4
a planet is attracted to the sun with a certain force. if the distance from the sun to the planet is reduced by one half, what would happen to the force?
The correct option is B, the distance between mass reduces to half then gravitation force increases by four times.
According to newton's law of gravitation,
Force between two masses F = GMm / r^2
If distance is halved r = r/2
F' = GMm / (r / 2)^2 = 4GMm / r^2 = 4F
Gravitation force is a fundamental force of nature that exists between any two objects with mass. This force is responsible for keeping objects like planets, stars, and galaxies in motion, and is essential for the formation and stability of the universe. The force of gravity is proportional to the mass of the objects and the distance between them, according to the famous equation proposed by Sir Isaac Newton: F = G(m1m2)/d^2.
The force of gravity is an attractive force, meaning it pulls objects towards each other. This force is why objects fall to the ground when dropped and why planets orbit around their suns. The gravitational force also affects the flow of time and the curvature of space, as explained by Einstein's theory of general relativity.
To learn more about Gravitation force visit here:
brainly.com/question/24783651
#SPJ4
Complete Question: -
A planet is attracted to the sun with a certain force. if the distance from the sun to the planet is reduced by one half, what would happen to the force?
A. decreased by two times
B. increased by four times
C. increased by two times
D. decreased by four times
The highest barrier that a projectile can clear is 14m, when the projectile is launched at an angle of 30.0 degrees above the horizontal. What is the projectile's launch speed? (in m/s)a. 33.1b. 33.3c. 33d. 36
When a projectile is launched at an angle of 30 degrees above the horizontal, the tallest barrier it may clear is 14 meters. The correct option is (b) 33.3m/s.
we can use the kinematic equations of motion for projectile motion. The key is to recognize that the projectile will reach its maximum height when it is at the top of its trajectory, at which point its vertical velocity is zero.
First, we can use the vertical motion equation to find the time it takes for the projectile to reach its maximum height:
vy = v.sin θ - gt
0 = v sin θ - gt
t = v sin θ / g
Next, we can use the horizontal motion equation to find the horizontal distance traveled by the projectile in this time:
x = v.cos θ.t
Now, we want to find the launch speed v that will result in the maximum height of 14 m. To do this, we can substitute the expressions we just derived for t and x into the vertical motion equation for the maximum height:
h = (v sin θ)² / (2g)
Solving v:-
v = √(2gh) / sin θ
Putting values:-
v = √(2 × 9.81 m/s² × 14 m) / sin 30.0°
v ≈ 33.3 m/s
Therefore, the projectile's launch speed is approx. 33.3 m/s, which is answer choice (b).
Note that answer choices (a), (c), and (d) are all close to the correct answer, but not quite correct. This illustrates the importance of being careful with units and significant figures when performing calculations.
To know more about projectile please refer: https://brainly.com/question/13388411
#SPJ4
Which of these would cause the most physical weathering?
A. sand being blown across a field.
B. The roots of a large tree.
C. A deep fast-moving river.
D. A shallow slow-moving river.
The most affecting physical weathering is by the roots of large trees. They are strong enough to erode rocks. Hence, option B is correct.
What is physical weathering ?Rocks, minerals, and soils disintegrate through a process known as physical weathering, sometimes known as mechanical weathering. Abrasion is the main physical weathering process.
Temperature, pressure, frost, root movement, and burrowing animals can all cause physical deterioration. For instance, physical weathering will expose more surface area through the use of cracks, speeding up the pace of deterioration.
Across the world, gorges, ravines, and valleys are formed by processes of water, ice, and wind that are loaded with silt. Here, strong roots embedded into the soil are enough to cause physical weathering.
Find more on physical weathering:
https://brainly.com/question/14426457
#SPJ1
How do we compare the displacement of a moving object moving from one point to another?
You are dating rocks by their proportions of parent isotope potassium-40 (half-life 1.25 billion years) and daughter isotope argon-40. Find the age for each of the following.A rock that contains seven times as much argon-40 as potassium-40.Express your answer using three significant figures.
The age of the rock is 3.512 billion years.
What are 3 types of rocks?
1. Igneous rocks
2. Sedimentary rocks
3. Metamorphic rocks
For the first rock, the number of potassium-40 atoms is equal to the number of argon-40 atoms. That can only happen when when one half life cycle has elapsed. Therefore the age of this rock is indeed 1.25×109 years. Now let us calculate the age of the second rock sample. Let us say that the number of potassium-40 at the beginning was N0 and the number of potassium-40 after a particular time t us N. There after 1.25 billion years, N= N0 /2. Now we know the decay constant. This means that every second,5.54×10-10 atoms of potassium-40 decay into argon-40. We can use this decay constant to calculate the time required for the number of argon-40 to be 7 times as much as potassium-40. We want the time required to get the condition N = N0/7. So the correct answer is 3.512 billion years.
Therefore, the age of the rock is 3.512 billion years.
To learn more about rocks the link
https://brainly.com/question/19930528
#SPJ1
The age of the rock is approximately 42 million years, calculated using the equation (7/8) = (1 - [tex]e^{-kt}[/tex] ) with k = ln(2)/1.25 billion years and solving for t.
What is the dating of rock?
The dating of rocks refers to the process of determining the age of rocks or geological events using various techniques, such as radiometric dating, relative dating, and stratigraphy. Radiometric dating involves measuring the ratio of parent and daughter isotopes in a rock, while relative dating involves determining the order of events in geological history. Stratigraphy involves analyzing the layers of sedimentary rocks to determine the relative age of the rocks and the events they represent. These techniques are used by geologists to study the history of the Earth and the processes that have shaped it over time.
The ratio of argon-40 to potassium-40 in a rock can be used to determine the age of the rock based on the half-life of potassium-40. The equation for the decay of potassium-40 to argon-40 is:
K-40 --> Ar-40 + e-
where e- represents an electron and a neutrino.
The half-life of potassium-40 is 1.25 billion years, which means that half of the original amount of potassium-40 will decay to argon-40 in 1.25 billion years. After another 1.25 billion years, half of the remaining potassium-40 will decay, and so on.
If a rock contains seven times as much argon-40 as potassium-40, that means the ratio of argon-40 to potassium-40 is 7:1. We can set up the following equation to solve for the age of the rock:
(7/8) = (1 - [tex]e^{-kt}[/tex])
where k is the decay constant for potassium-40, t is the age of the rock, and e is the mathematical constant approximately equal to 2.71828.
The decay constant for potassium-40 can be calculated using the following formula:
k = ln(2)/t1/2
where ln represents the natural logarithm and t1/2 is the half-life of potassium-40.
Plugging in the values, we get:
k = ln(2)/1.25 billion years = 0.00055 [tex]years^{-1}[/tex]
Substituting k into the first equation and solving for t, we get:
t = -ln(7/8)/0.00055 [tex]years^{-1}[/tex] = 42 million years
Therefore, the age of the rock is approximately 42 million years.
To learn more about the dating of rock click here
https://brainly.com/question/19448171
#SPJ1
a car is traveling at 50 mi/h when the brakes are fully applied, producing a constant deceleration of 46 ft/s2. what is the distance covered before the car comes to a stop? (round your answer to one decimal place.)
The car covers approximately 599.8 feet before coming to a stop, when the brakes are fully applied with a constant deceleration of [tex]46 ft/s^2[/tex].
The problem involves finding the distance covered by a car when the brakes are fully applied and it comes to a stop. To solve this problem, we can use the equations of motion for constant acceleration.
We can solve this problem using the equations of motion for constant acceleration.
First, we need to convert the initial velocity from miles per hour to feet per second:
[tex]50 mi/h = 73.33 ft/s[/tex] (approx)
Next, we can use the following equation to find the distance covered by the car before coming to a stop:
[tex]v^2 = u^2 + 2as[/tex]
where v is the final velocity (which is zero when the car comes to a stop), u is the initial velocity [tex](73.33 ft/s)[/tex], a is the deceleration [tex](-46 ft/s^2)[/tex], and s is the distance covered.
Substituting the values, we get:
[tex]0 = (73.33 ft/s)^2 + 2(-46 ft/s^2)s[/tex]
Simplifying this equation, we get:
[tex]s = (73.33 ft/s)^2 / (2 * 46 ft/s^2) = 599.8 ft[/tex]
Therefore, the car covers approximately 599.8 feet before coming to a stop, when the brakes are fully applied with a constant deceleration of [tex]46 ft/s^2[/tex].
Learn more about deceleration here:
https://brainly.com/question/25839029
#SPJ4
The average person has a surface area of 1.5-2.0 m². If the person is lying on flat ground, let's assume that about 40% of the person's surface area is in contact with the ground, which would be about 0.6-0.8 m².
(a) A student with a mass of 50. kg is lying on the floor of the classroom. The area of the student that is in contact with the floor is 0.6 m². What is the pressure between the student and the floor?
(b) Mr. Bigler's bed of nails was built with approximately 3300 nails evenly spread over an area of 1.11 m². The head of each nail has an area of approximately 0.1 mm²=
1 x 10-7 m². Based on these numbers and the surface area of contact for the student
in part #6a, what is the pressure between the student and each of the nails?
(a) The pressure between the student and the floor is 817 Pa.
(b) The pressure between the student and each nail 14,848 Pa.
What is the pressure between the student and the floor?
Pressure is calculated by dividing force by area. The force exerted on the floor by the student is equal to their weight, which is the force of gravity acting on their mass.
The weight of the student can be calculated as follows:
W = mg
W = 50 kg (9.8 m/s²)
W = 490 N
So the pressure between the student and the floor can be calculated as follows:
P = F / A
P = 490 N / 0.6 m²
P = 817 Pa
To find the pressure between the student and each nail, we need to divide the student's weight by the total area of the nails' heads.
A (nails) = NA
A (nails) = 3300 x 1 x 10⁻⁷ m²
A (nails) = 0.033 m²
So the pressure between the student and each nail can be calculated as follows:
P = F / A
P = 490 N / 0.033 m²
P = 14,848 Pa
Learn more about pressure here: https://brainly.com/question/28012687
#SPJ1
one light-minute is the distance that light travels in one minute. how far is this, in kilometers? (recall that the speed of light is 300,000 km/s.)
One light-minute is approximately 18 million kilometers.
One light-minute is the distance that light travels in one minute, at the speed of light, which is approximately 300,000 km/s. we can simply multiply the speed of light by the number of seconds in one minute:
1 light-minute = 60 seconds x 300,000 km/s
1 light-minute = 18,000,000 km
Therefore, one light-minute is approximately 18 million kilometers.
Light is an electromagnetic wave that travels through space at a constant speed of approximately 300,000 km/s. This means that in one second, light can travel a distance of 300,000 kilometers.
300,000 km/s x 60 seconds = 18,000,000 km
To know more about One light-minute, here
https://brainly.com/question/17265421
#SPJ4
