"Compression of rock is nothing but squeezing the rock together and shearing is pushing the rock in opposing directions."
It squeezes the boulder as a whole and should cause the pulls to shear. This is because compression causes the weight necessary for rocks to be squeezed. Additionally, the rock's draws shouldn't be spaced apart. It shouldn't be going in opposing ways either.
When rocks are compressed together, they fold, fracture, or even shatter. Compression stress is the most prevalent stress at convergent plate boundaries. There is stress when rocks are being torn apart. Under stress, rocks either lengthen or fragment.
Due to the compression pushing the hanging wall up in relation to the footwall, if the fault arises in a scenario of compression, it will be a reverse fault.
Compressional stresses cause a rock to shorten. A rock elongates or pulls apart as a result of tensional pressures. Shear forces cause rocks to slide past one another.
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Part A The integral with respect to time of a force applied to an object is a measure called impulse, and the impulse applied to an object during a time interval determines its change in momentum during the time interval. The safety of a t-shirt launcher, used to help get crowds cheering at baseball games, is being evaluated. As a first step in the evaluation, engineers consider the design momentum of the launched t-shirts. The springs in the launcher are designed to apply a variable force to a t-shirt over a time interval of tu=0.5 s. The force as a function of time is given by F(t) = at' + b, where a = -28 N/s' and b = 7.0 N. F (t) dt. By applying the given time The momentum of the t-shirt will be its initial momentum (po = 0) plus its change in momentum due to the applied impulse: pj=po+ S dependent function for F(t) and performing the integration, which of the following is the correct expression for p/? View Available Hint(s) P = 0+ )6 0+*+8 +b)16 0+(+3 + bt) 0+ +) Submit Previous Answers ✓ Correct We check that we have obtained the correct form of the integral by performing differentiation of t + bt with respect to t, which gives at +b= F(t) as expected. Correct If the Jadarian-Ruby had been properly maintained, GAJMO Nermalloy would be able to successfully complete the delivery mission. The result can be found using KE2 = KE + F(2) dr. When F(2) is constant, F(2) = Fo, and the result of the integral is simply FoAr. That is, the measure of work represented by the integral is exactly the measure of the rectangle with height Fo and width Ar. For functions of other forms, rectangles only approximate the measure, and the integral allows us to evaluate the measure in the limit that the rectangles have infinitesimal width and the measure becomes exact. Part E Evaluate the final kinetic energy of the supply spacecraft for the actual tractor beam force, F(x) = ax + 8. View Available Hint(s) KE = 1.07. 1010 J Submit Previous Answers Request Answer X Incorrect; Try Again; 4 attempts remaining
The final kinetic energy of the supply spacecraft is [tex]6.4 *10^{11} J[/tex] and final kinetic energy of the supply spacecraft can be found using the work-energy principle.
The work done by the tractor beam force can be found by integrating the force with respect to distance. Since the force is a function of x, we need to express the distance traveled by the spacecraft as a function of x. We know that the spacecraft starts from rest at x = 0 and moves a distance of [tex]4.0 * 10^5 m[/tex], so we have:
[tex]x = 0 + (1/2)ax^2 + 8x[/tex]
We can simplify this expression to:
[tex]x = (1/2)ax^2 + 8x[/tex]
Now we can express the work done by the tractor beam force as an integral:
W = ∫ F(x) dx from [tex]x = 0[/tex] to [tex]x = 4.0 * 10^5 m[/tex]
W = ∫ (ax + 8) dx from [tex]x = 0[/tex] to [tex]x = 4.0 * 10^5 m[/tex]
[tex]W = (1/2) a (4.0 * 10^5)^2 + 8 (4.0 *10^5)[/tex]
[tex]W = 6.4 * 10^{11} J[/tex]
The work done by the tractor beam force is [tex]6.4 * 10^{11} J[/tex].
Since the work done on the spacecraft is equal to the change in kinetic energy of the spacecraft, we have:
W = KE2 - KE
where KE is the initial kinetic energy of the spacecraft, which is zero.
Therefore, the final kinetic energy of the spacecraft is:
[tex]KE2 = W = 6.4 *10^{11} J[/tex]
So the final kinetic energy of the supply spacecraft is [tex]6.4 * 10^{11} J[/tex].
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Applying the maximum force you can exert, the heaviest box you can push at constant speed across a level floor with coefficient of kinetic friction μ has weight ω. Another box sits on a ramp that is inclined at an angle of β
above the horizontal. The coefficient of kinetic friction between the box and the ramp is μ.
If you apply the same magnitude maximum force, now parallel to the ramp, that you applied to the box on the floor, what is the heaviest weight box that you can push up the ramp at constant speed? (in both cases assume you can give enough extra push to get the box started moving)
The heaviest box you can push up the ramp at constant speed with a maximum force F is: ω = F / (μ sin(β))
Let F be the maximum force applied to the box, and let N be the normal force between the box and the ramp.
We can use the following equation to solve for the maximum weight of the box on the ramp:
F + μN = ω sin(β)
Where ω is the weight of the box, and β is the angle of the ramp.
hence, the heaviest box you can push up the ramp at constant speed with a maximum force F is:
ω = F / (μ sin(β))
What is speed?
Speed is the rate of change of an object's position over time, or the rate at which an object moves. Speed is a scalar quantity and is measured in metres per second (m/s).
Therefore, The heaviest box you can push up the ramp at constant speed with a maximum force F is: ω = F / (μ sin(β))
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a) calculate the magnitude of the force parallel to surface 1 b) calculate the magnitude of the force parallel to surface 2
a) the magnitude of the force parallel to surface 1 is 6.13 N
b) the magnitude of the force parallel to surface 2 is 4.02 N.
Force Parallel to both SurfacesThe gravitational force acting on each object is given by F = m * g
where m is the mass of the object
and g is the acceleration due to gravity (g = 9.8 m/s^2 on the surface of the earth).
Let's call the force parallel to surface 1 F1, and the force parallel to surface 2 F2.
a) To calculate the magnitude of F1:
F1 = m1 * g * cos(angle of elevation of surface 1)
m1 = .800 kg (mass of object on surface 1)
angle of elevation of surface 1 = 40 degrees
F1 = .800 kg * 9.8 m/s^2 * cos(40) = 6.13 N (approx.)
b) To calculate the magnitude of F2:
F2 = m2 * g * cos(angle of elevation of surface 2)
m2 = .500 kg (mass of object on surface 2)
angle of elevation of surface 2 = 55 degrees
F2 = .500 kg * 9.8 m/s^2 * cos(55) = 4.02 N (approx.)
So, the magnitude of the force parallel to surface 1 is 6.13 N and the magnitude of the force parallel to surface 2 is 4.02 N.
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A battery is connected to an electrical circuit. During each second, 2.3 coulombs of charge pass through the battery when the switch is closed. The battery supplies energy to each coulomb of charge at a rate of 4.2J C^-1. Take 1 C = 6.24 x 10^18 electrons
State the potential difference across the battery
The potential difference across the battery is 4.2 volts.
What is potential difference?
Potential difference is described as the amount of work energy required to move an electric charge from one point to another.
The unit of potential difference is the volt.
The potential difference across the battery is calculated using the equation:
V = W / Q
Workdone = Q * Vbattery = 2.3 C * 4.2 J/C = 9.66 J
Therefore, the voltage across the battery can be calculated as:
V = W / Q = 9.66 J / 2.3 C = 4.2 V
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2 A tank of water containing 2500 L of water is stored on the roof of a building. the Find its potential energy with respect to the floor, which is 12.0m below roof. b) Find its potential energy with respect to the basement, which is 4.0 m below the first floor (use g=10m/s²)
(a) The potential energy of the tank of water with respect to the floor is 294,000 J.
(b) The potential energy of the tank of water with respect to the basement is 392,000 J.
What is the potential energy?
The potential energy of the tank of water with respect to the floor can be calculated as follows:
Potential energy = mgh
where;
m is the mass of the water, g is the acceleration due to gravity, and h is the height of the tank with respect to the floor.We can first find the mass of the water using the density of water, which is approximately 1000 kg/m³:
Mass of water = density x volume
Mass of water = 1000 kg/m³ x 2500 L
Mass of water = 2500 kg
Now we can calculate the potential energy:
Potential energy = 2500 kg x 9.8 m/s² x 12.0 m
Potential energy = 294,000 J
The potential energy of the tank of water with respect to the basement can be calculated in a similar way. We can first calculate the height of the tank with respect to the basement:
Height of tank with respect to basement = 12.0 m + 4.0 m
Height of tank with respect to basement = 16.0 m
Now we can calculate the potential energy using the same formula as before:
Potential energy = 2500 kg x 9.8 m/s² x 16.0 m
Potential energy = 392,000 J
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Which statements are inconsistent with Dalton’s atomic theory as it was originally stated? Why?
a. All carbon atoms are identical.
b. An oxygen atom combines with 1.5 hydrogen atoms to form a water molecule.
c. Two oxygen atoms combine with a carbon atom to form a carbon dioxide molecule.
d. The formation of a compound often involves the destruction of one or more atoms.
Statement b and d are inconsistent with Dalton's atomic theory.
Dalton's atomic theory, as originally stated, includes the following postulates:
All matter is made up of tiny, indivisible particles called atoms.
All atoms of a given element are identical in mass and properties.
Compounds are formed when atoms of different elements combine in fixed ratios.
Chemical reactions involve the rearrangement of atoms; no atoms are created, destroyed or changed into atoms of another element.
Statement b contradicts postulate 3 by suggesting that a water molecule is formed from 1.5 hydrogen atoms and 1 oxygen atom. However, in Dalton's theory, atoms combine in whole-number ratios to form compounds.
Statement d contradicts postulate 4 by suggesting that the formation of a compound involves the destruction of one or more atoms. However, in Dalton's theory, atoms are neither created nor destroyed in chemical reactions. Instead, they are rearranged to form new compounds.
Statement a and c are consistent with Dalton's atomic theory as all atoms of a given element are identical in mass and properties and compounds are formed when atoms of different elements combine in fixed ratios.
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In the pre-lab questions, you found how the temperature of a sample depended on time as heat flowed out of it into a cold water bath. Here, you found an exponential relation. Specifically, you found that the temperature difference between the sample and the bath decayed exponentially in time as Tdif = (constant) e-t. The decay constant was found by combining the equations for heat/temperature change (Q = mcAT) for both the water bath and the sample, and the rate of heat flow through a sample, = "A (Th – T.) = 6g 2012 (T- Tu) = K520Taif, where Ks is the thermal conductivity of the sample, A = 2nrl is the lateral surface area of the cylindrical sample, I is the length of the cylindrical sample, Ax =s is the thickness (radius) of the cylindrical sample the heat must flow through (from inside to outside), and Tdif = T, – Tw is the difference between the internal temperature of the sample and the temperature of the water bath. Combining these equations and solving the resulting differential equation, we found that the exponential decay constanta = ,291 (m.c. + monew). What is the value of this exponential decay constant for Polly? Your answer should be in s-1. Assume that the average value for thermal conductivity of human tissues is 0.5 W/(m°C) and that Polly's height (length) 1 =1.5 m. Again, Polly's mass is 60 kg, assume here that Polly's specific heat is 3500 J/(kg°C), the water's mass is 300 kg, and the specific heat of water is 4186 J/(kg°C).O 2.3x10-55-1 O 4.8x10651 O 2.6x10-551 O 5.6x10651
The correct answer is c. The exponential decay constant's value is [tex]2.6*10^{-55 }s^{-1}[/tex].
To find the value of the exponential decay constant, we need to calculate Ks, the thermal conductivity of the sample. We employ the equation to arrive at this. [tex]Ks = mc + mow[/tex],
where m is the mass of Polly, c is the specific heat of the human tissues, and mow is the mass of the water. Plugging in the values for Polly's mass (60 kg), the specific heat of the human tissues (3500 J/(kg°C)) and
the mass of the water (300 kg),
and the specific heat of the water (4186 J/(kg°C)),
we get Ks = 0.5 W/(m°C).
Now, we can plug in the values for Ks, A, I, and Ax into the equation for[tex]Tdif = (constant) e^{-t}[/tex]
to calculate the exponential decay constant. By entering the values, we obtain the equation.
[tex]Tdif = (constant) e^{-t} = (0.5 W/(mC) * 2nrl * 1.5 m * 0.5 m) e^{-t}.[/tex]
Simplifying, we get [tex]Tdif = 2.6*10^{-55} e^{-t}.[/tex].
Therefore, the value of the exponential decay constant is [tex]2.6*10^{-55 }s^{-1}[/tex].
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Describe a situation in which these two velocity vectors are different. Use complete sentences.
When acceleration is equal to zero average velocity and the instantaneous velocity vectors are identical.
Types of velocity
Velocity is defined as the rate of displacement of an object with respect to time. It is measured in meter/ seconds and is a vector quantity.
Acceleration is defined as the rate at which velocity changes with time.
There are two types of velocity which includes:
Average velocity: This is the average rate of change of position of particles with respect to time over an interval.
Instantaneous velocity: This is defined as the specific rate of change of position with respect to time at a particular point.
The situation that will make the average velocity and the instantaneous velocity vectors to be equal or identical is when acceleration is equal to zero.
what present day conditions could be compared to conditions during the Cretaceous
Present-day conditions that are similar to the Cretaceous period include a warm climate and high sea levels. However, today's situations are influenced by human activities unlike those in the Cretaceous era.
Explanation:The Cretaceous period was marked by a warm climate, high sea levels, and abundant green life. Some present-day conditions might mirror those of the Cretaceous period. For instance, current issues like global warming and rising sea levels are somewhat akin to conditions in the Cretaceous. Nonetheless, it's crucial to remember that modern situations are influenced by anthropogenic activities, whereas Cretaceous conditions were primarily determined by natural processes.
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A ball with momentum must also have?
A. Kinetic energy
B.Thermal energy
C.Gravitational potential energy
D.Elastic energy
.Impulse is equal to ... (pick TWO answers) * A.the change in momentum of an object. B.the change in mass of an object. C.the change in volume of an object. D.a force applied to an object for a period of time. E.the original momentum of the object.
The impulse is force × time. Option D
What is Impulse in Physics?In physics, impulse is a quantity that describes the change in momentum of an object that results from a force acting on it for a period of time. Mathematically, impulse is defined as the product of force and the time interval over which it acts:
Impulse = force × time
The unit of impulse is the newton-second (N·s) in the SI system of units.
Impulse is closely related to the concept of momentum, which is the product of an object's mass and velocity. When a force acts on an object, it causes a change in the object's momentum. The magnitude of this change is equal to the impulse that the force imparts on the object.
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"A strength training program is built on a series of exercises that targets specific muscle groups. "
Options:
True
False
Answer:
It's False
Explanation:
I know :)
True. "A strength training program is built on a series of exercises that targets specific muscle groups. "
What is Strength?Strength is the ability of a muscle or group of muscles to exert force against a resistance. It is often measured by the maximum amount of weight or resistance that a person can lift or move in a single repetition, commonly referred to as their "one-rep max." Strength can be developed through resistance training, which involves working against progressively heavier loads or resistance over time, causing the muscle fibers to adapt and become stronger. Building strength can have a variety of benefits, including improved athletic performance, increased bone density, and better overall physical health and well-being.
By targeting specific muscle groups with exercises, strength training programs can help individuals build muscle mass, increase bone density, improve balance and coordination, and enhance overall physical performance. Additionally, strength training has been shown to have many health benefits, such as reducing the risk of chronic diseases, improving mental health, and enhancing overall quality of life.
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F. Reflection
*What is force and what types of force?
*Why it is important to know friction and gravity in our daily interactions in our life whether in the community or inside our home?
(a) Force is a physical quantity that describes the interaction between two objects or systems.
(b) Friction is the force that opposes motion between two surfaces in contact, and it is important because it allows us to walk, drive, and perform other tasks that require traction. Gravity, on the other hand, is the force that attracts objects to each other, and it is important because it keeps us and everything around us grounded on the Earth.
What is force and what types of force?
Force is a vector quantity, meaning that it has both magnitude and direction. The SI unit of force is the Newton (N).
There are several types of force, including:
Contact forcesNon-contact forcesApplied forcesRestoring forcesFriction and gravity are two important forces that we encounter in our daily interactions.
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For which of the following configurations is the transit method best suited?
O Star/Planet systems that we view face-on (small inclination angles).
O Star/Planet systems that we view edge-on (inclination angle near 90 degrees).
O The inclination angle does not matter
Configurations in the transit method best suited for: Star/Planet systems that we view face-on (small inclination angles). The first option is the correct answer.
What is transit ?A transit occurs when a planet passes between a star and its observer. Transits within our solar system can be observed from Earth when Venus or Mercury travel between us and the Sun.
The transit method is best suited for observing star/planet systems that we view face-on (small inclination angles). This is because when the planet passes in front of the star from our perspective, it blocks a small fraction of the star's light and causes a dip in the star's brightness, which can be detected and measured by telescopes.
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A car is stopped at a traffic light. It then travels along a straight road so that its distance from the traffic light is given by x(t)=bt^2 −ct^3 , where b=2.40ms^−2 and c=0.120ms^−3 .The instantaneous velocity of the car at t=5.0s is
The instantaneous velocity of the car at t = 5.0s is 4.5 m/s.
Take the derivative of its position function x(t) with respect to time,
[tex]v(t) = \dfrac{dx(t)}{dt}[/tex]
v(t) represents the velocity of the car at any given time t.
Given x(t) = bt^2 - ct^3,
Find the derivative as follows,
v(t) = {d/dt} (bt^2 - ct^3)
= 2bt - 3ct^2
Substitute the given values of b and c, and evaluate the velocity at t = 5.0s,
v(5.0s) = 2b(5.0s) - 3c(5.0s)^2
= 2(2.40 m/s^2)(5.0 s) - 3(0.120 m/s^3)(5.0 s)^2
= 12.0 m/s - 7.5 m/s
= 4.5 m/s
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Jumping Off. A person of mass m jumps off a ledge that is a distance h off the ground. Their legs are straight in the air, but as they land, they bend their knees at the instant they touch the ground. Treated as a particle, they move an additional distance d downward as they hit the ground before coming to a complete stop. * Find an expression for the person's acceleration after they touch the ground in terms of g, h and d. * Draw a FBD of the person while they are in contact with the ground. Find an expression for the amount of force they apply on the ground to stop in distanced in terms of m, g, h, and d. * If the person is able to apply a force equal to 5.00 times their weight with their legs, what would the required distance to stop be if they jumped from a height of 3.00 m?
The expression for the person's acceleration after they touch the ground in terms of g, h and d is a = 2gh / (2h/g + sqrt(2gh + 2gd).
What is an acceleration?An acceleration refers to the change in velocity with respect to time in terms of speed and direction. In the case given here, assuming no air resistance, the potential energy of the person at the top of the ledge is converted into kinetic energy just before they hit the ground.
Let's consider the motion of the person after they touch the ground. We assume that the person's acceleration is constant during the time they move a distance d. Let a be the acceleration of the person after they touch the ground, and let t be the time it takes for them to come to a complete stop. Then:
⇒ d = 1/2 × a t²........... (1)
⇒ v = at........(2)
⇒ h + d = 1/2 gt² + vt......... (3)
where, v is the velocity of the person just before they touch the ground, and g is the acceleration due to gravity.
Therefore,
t = (sqrt(2gh + 2gd + v²) – v) / g
a = 2(d + h) / t² – g
Substituting v = sqrt(2gh):
a = 2gh / (2h/g + sqrt(2gh + 2gd))
Therefore, the acceleration of the person after they touch the ground is:
a = 2gh / (2h/g + sqrt(2gh + 2gd))
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What is the power of x? Explain how similar and different is the excel equation is to equation 3. [5 points]
equation 3 is V=kQ/d
The power of x is the exponent of x in an equation. The power of x (x^n) is the result of multiplying a number (x) by itself (n) times. For example, in an equation of the form x^a, the power of x is a.
For example, if x = 2 and n = 3, then x^n = 8 (2 x 2 x 2).
The Excel equation is similar to the equation V=kQ/d in that they both contain variables (x, k, Q, and d) and the goal is to calculate a result (x^n, V). However, the Excel equation is specific to the power of x and is used to calculate the result of multiplying a number by itself a certain number of times. The equation V=kQ/d is used to calculate velocity based on a constant (k), a quantity (Q), and a distance (d). However, the equation V=kQ/d does not involve x, and it is used to calculate the voltage, V, in a circuit. The power of x is simply a mathematical notation used to indicate the number of times a variable is multiplied by itself, while the equation V=kQ/d is used to calculate the voltage in a specific circuit.
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Two boys Raghav and Ramesh make a toy telephone by joining two
bod plastic cups through a long string. They both stand apart. Raghav
speaks softly into one cup and Ramesh hears by putting his ear in the
other cup. Now Ramesh speaks and Raghav listens.
(a) What type of waves are produced by voice of Raghav and Ramesh
in the air inside the plastic cup?
garo (b) What type of waves are produced in the string?
(c) Write any one difference between these types of waves.
OR
wavelength of a sound wave.
(b) Wha type of waves are produced in the string
Transverse wave is produced by the string. longitudinal wave is formed by the voice of both of them in plastic cup
A wave on a small lake has an amplitude of 0. 1 meters. What happens to the energy of the wave by doubling its height to 0. 2 meters?.
The energy of a wave is proportional to the square of its amplitude. Doubling the amplitude of a wave quadruples its energy.
Therefore, if the original wave on the small lake had an amplitude of 0.1 meters and a certain amount of energy, doubling its amplitude to 0.2 meters would increase its energy by a factor of 4. In other words, the energy of the wave would become 4 times greater than its original value.
What do you mean by amplitude?The largest deviation a wave can make from its equilibrium position is referred to as its amplitude. In plainer terms, it refers to the height of a wave, or the distance between the highest point (the wave's crest) and the lowest point (its trough).
A wave's energy, or the entire amount of work that the wave may exert on its surroundings, is measured by the amplitude of the wave. The wave carries more energy the larger its amplitude.
The term "amplitude" is frequently used to describe a variety of waves, such as sound, light, and water waves. It is typically expressed as a "A" sign and is measured in units of measurement like meters or feet.
To calculate the energy of the wave by doubling its height:
(Energy after / Energy before) = (Amplitude after)^2 / (Amplitude before)^2
Substituting the given values, we get:
(Energy after / Energy before) = (0.2)^2 / (0.1)^2 = 4
This means that the energy of the wave after doubling its amplitude would be four times the energy of the original wave.
So, if the original wave had an energy of E, the energy of the wave after doubling its amplitude would be 4E.
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When a skydiver falls which force is acting in the opposite direction to gravity?
When a skydiver falls, air resistance, or drag, is the force that acts in the opposite direction to gravity.
As the skydiver falls through the atmosphere, air molecules collide with their body, creating a force that opposes the direction of motion. The magnitude of the air resistance force depends on the speed of the skydiver, the surface area of their body, and the density of the air.
Initially, when the skydiver jumps out of the plane, the force of gravity pulls them downward, and they start accelerating towards the ground. As they gain speed, the air resistance force gradually increases until it becomes equal in magnitude to the force of gravity. At this point, the skydiver stops accelerating and falls at a constant velocity, known as the terminal velocity.
The air resistance force is proportional to the velocity of the skydiver, which means that increasing the velocity increases the air resistance force. At high velocities, the air resistance force becomes so strong that it eventually overcomes the force of gravity, allowing the skydiver to slow down and eventually land safely on the ground.
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A rotating platform with a radius of 2. 0 m makes one complete turn every 3. 0 s. The angular velocity of the platform is most nearly.
**DUE TOMORROW, NEED ANSWER ASAP**
NASA has asked you to evaluate a number of proposals for telescopes. These proposals include information about where the telescope would be built and what wavelengths it intends to observe at. Based only on these factors, evaluate whether NASA should consider funding each proposal. Justify your recommendations. (Some telescopes may have more than one "correct" answer depending on how you justify it).
a.) An ultraviolet telescope in space
b.) An optical telescope in a remote location in Michigan's upper peninsula
c.) A radio telescope in the Mojave desert in Arizona
d.) An x-ray telescope in the Andes mountains in Chile
e.) An optical telescope in space
An ultraviolet telescope in space.
What is a telescope?
The oldest known instance of a telescope is a patent for a refracting telescope that Middelburg spectacle maker Hans Lipperhey filed to the Dutch government in 1608. Although the true inventor is unknown, word of it quickly spread across Europe. After learning about it, Galileo constructed his own model and began making telescopic observations of celestial objects in 1609.Soon after the refracting telescope was created, it was being considered if the objective, or light-gathering element, might instead be a mirror. Due to the potential benefits of using parabolic mirrors—a reduction in spherical aberration and the absence of chromatic aberration—many designs and attempts to construct reflecting telescopes have been proposed. Isaac Newton created the first useful reflecting telescope in 1668.To know more about telescope, click the link given below:
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A string wraps around uniform cylinder of mass M; which rests on fixed plane The string passes up over massless pulley and is connected t0 mass m, as shown in the figure. Assume that the cylinder rolls without slipping on the plane, Jd that the string is parallel to the plane What is the acceleration of the mass m? What is the condition on the ratio M /m for which the cylinder accelerates down the plane? (don't forget to include friction)
The cylinder rolls on the plane without slipping, and the string is parallel to the plane. Assume the cylinder has a radius of R and an inertia moment about its center of mass of I.
Tension in the string (T), the gravitational force on mass m (mg), and the frictional force on the cylinder from the plane are the forces acting on the system (f).
The tension in the string (T) is balanced by the gravitational force on mass m because the string is parallel to the plane (mg). As a result, we can write:
T = mg
To find the acceleration of mass m, we can use Newton's second law for the vertical motion of mass m:
mg - T = ma
Substituting T with mg, we get:
a = g - g(M/m)
where M/m is the ratio of the masses of the cylinder and the mass, respectively.
To find the condition on the ratio M/m for which the cylinder accelerates down the plane, we need to apply Newton's second law for the rotational motion of the cylinder. The torque acting on the cylinder is due to the frictional force f, which is given by:
f = μN
where μ is the coefficient of static friction, and N is the normal force on the cylinder from the plane. Since the cylinder rolls without slipping, the frictional force f is equal to the force due to the tension in the string, which is mg.
Therefore, we can write:
mg = f = μN
The normal force N is equal to the weight of the cylinder, which is Mg. Therefore, we can write:
mg = μMg
Simplifying, we get:
μ = m/M
For the cylinder to accelerate down the plane, the frictional force must be less than or equal to the maximum static frictional force, which is given by:
f_max = μ_s N
where μ_s is the coefficient of static friction. Therefore, we need to have:
f <= f_max
Substituting f and f_max, we get:
mg <= μ_s Mg
Substituting μ = m/M, we get:
mg <= μ_s Mg
Simplifying, we get:
m/M <= μ_s
Therefore, the condition on the ratio M/m for which the cylinder accelerates down the plane is:
M/m > μ_s
where μ_s is the coefficient of static friction between the cylinder and the plane.
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6.
(3 points) What is the mass in g of 500.0 mL of propylene glycol,
which has a density of 1.036 g/mL? Express your answer to the
correct number of significant figures.
Taking into account the definition of density, the mass of 500.0 mL of propylene glycol, which has a density of 1.036 g/mL, is 518 g.
Definition of densityDensity is the amount of matter in a given space and is defined as the amount of mass of a substance per unit volume.
In other words, density is defined as the amount of mass in a certain volume of a substance.
The expression for the calculation of density is the quotient between the mass of a body and the volume it occupies:
density= mass÷ volume
Mass of propylene glycolIn this case, you know that:
Density= 1.036 g/mLVolume= 500 mLReplacing in the definition of density:
1.036 g/mL= mass÷ 500 mL
Solving:
mass= 1.036 g/mL×500 mL
mass= 518 g
Finally, the mass is 518 g.
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The words technology and ideology both contain the suffix -ology. Based on this information, what the does the suffix -ology MOST LIKELY mean?
The words technology and ideology both contain the suffix -ology. Based on this information,the suffix -ology means something added to the end of something else.
What is a suffix?
After a word's stem, an affix is called a suffix. Common examples are verb endings, which constitute the conjugation of verbs, case endings, which show the grammatical case of nouns, and adjectives. Inflectional and lexical suffixes are two types of suffixes that can carry grammatical information. a grammatical or inflectional suffix When a word is inflected in this way, its syntactic category and grammatical qualities are altered. Class-changing and class-maintaining derivational suffixes are the two types of derivational suffixes.Suffixes are known as affirmatives because they have the aabilitybility to change the form of words, especially in the study of Semitic languages.To know more about suffix, click the link given below:
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A compound has a molar mass of 123. 22 g/mol. What is the molecular formula of a substance that has this molar mass?.
If the given compound has a molar mass of 123.22 g/mol then, SrS is the molecular formula of a substance that has this molar mass. Therefore, option c is the correct answer according to the given information.
The molecular formula is defined as the number of atoms present in the molecules of a chemical compound when the two molecules of different substances are combined together. The molecular mass is the mass of a given molecule measured in daltons.
The molar mass of Strontium = 87.22g/mol
The molar mass of Sulfur = 32 g/mol.
The total molecular mass of these two combined compounds
= Strontium + Sulfur = SrS
SrS = 87.22 + 32 = 123.22g/mol.
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The complete question is-
A compound has a molar mass of 123.22 g/mol. what is the molecular formula of a substance that has this molar mass?
A. CoH4
B. PSF3
C. SrS
D. ZrO2
i need help asappp
Lots of scientists had worked on the periodic table other than Mendeleev. What did Dmitri Mendeleev do that set him apart from all of the other scientist?
How do you think Mendeleev was able to so accurately estimate the properties of undiscovered elements?
What do you think would have changed if all of the scientist had worked closely together to figure out the best way to arrange the periodic table? Do you think collaboration is always the best answer
Answer:
Explanation:
1. Mendeleev predicted that there would be more chemical elements to come
2. by looking at the chemical properties
3. i think if all of them came together it would probably still look about the same tho ik it has changed over the years soo
What are the main forces involved in a flying plane?
Answer:
There are four main forces involved in the flight of an airplane: lift, weight, thrust, and drag.
Explanation:
1. Lift: Lift is the force that opposes the weight of an aircraft and keeps it in the air. It is generated by the wings as they move through the air and is affected by factors such as the shape of the wings, the angle of attack, and the speed of the aircraft.
2. Weight: Weight is the force of gravity acting on an aircraft and pulling it downward. It is proportional to the mass of the aircraft and the acceleration due to gravity.
3. Thrust: Thrust is the forward force generated by the engines of an aircraft. It must be greater than the drag force in order to maintain forward flight.
4. Drag: Drag is the aerodynamic force that opposes the forward motion of an aircraft. It is caused by the friction of the air moving past the surface of the aircraft and is affected by factors such as the speed of the aircraft, its shape, and the altitude.
These four forces are in a constant state of balance during flight, with the pilot adjusting the thrust and angle of attack to maintain a stable flight.
A horizontal force of 23 N is required to keep a 4.5 kg box traveling at a constant speed up a frictionless incline for a vertical
height change of 4.2 m. (Enter your answers in joules.)
(a) What is the work done by gravity during this change in height?
(b) What is the work done by the normal force?
(c) What is the work done by the horizontal force?
In this case, the force is 23 N, and the distance is 4.2 m. Therefore, the work required is 97.6 joules (J).
What is joules ?Joules is a unit of energy. It is a derived unit of the International System of Units (SI) and is used to measure energy, work, or the amount of heat generated or absorbed. It is typically used to measure energy in various forms, such as the kinetic energy of a moving object, the energy of a wave, or the energy stored in an electric field or a magnetic field. In the SI, one joule is equal to the energy expended by a force of one newton when its point of application moves one meter in the direction of the force. The joule is also a unit of energy in many other systems of measurement, including the British thermal unit (BTU), the calorie, and the watt hour.
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The temperature of the water was
originally 16.0°C. The specific heat of
water is approximately 4.18 J/g °C.
What is the change in thermal energy?
Assume the mass of the water is 1.00
kg. (Show your work!)
Answer: 4182 J/kg°C
Explanation: molar heat capacity is J/mole C not J/gC. 4.18 J/gC x (18.0 g / mole) = 75.2 J/moleC
