The average speed of the particle during one oscillation is 2 times the product of the amplitude and frequency of the simple harmonic motion.
The average speed of a particle undergoing simple harmonic motion in one oscillation can be found by using the formula for the average speed, which is the total distance traveled divided by the total time taken. In one complete oscillation, the particle starts from the equilibrium position, moves to the maximum displacement in one direction, returns to the equilibrium position, and then moves to the maximum displacement in the other direction before returning to the equilibrium position again. This completes one oscillation.
The total distance traveled by the particle in one complete oscillation is twice the amplitude of the motion, which is given in the problem. Therefore, the total distance traveled is 2A, where A is the amplitude of the simple harmonic motion.
The total time taken for one complete oscillation is the period of the motion, which is the time taken for the particle to complete one oscillation. The period is given by the formula T = 1/f, where f is the frequency of the motion.
Therefore, the average speed of the particle during one oscillation is:
average speed = (total distance traveled) / (total time taken)
= (2A) / (T)
= (2A) / (1/f)
= 2Af
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A quantity of steam (250 g) at 128°C is condensed, and the resulting water is frozen into ice at 0°C. How much heat was removed?
the heat removed from the steam is 128000 J.
When steam is condensed into water, its temperature decreases from 128°C to 0°C. During this process, heat is removed from the steam and transferred to the surrounding environment. This heat transfer can be calculated using the equation:
q = m * c * ΔT
where q is the heat transferred, m is the mass of the steam, c is the specific heat capacity of water, and ΔT is the change in temperature.
For steam, the specific heat capacity is about 4.184 J/g°C. For water, the specific heat capacity is about 4.184 J/g°C as well.
Plugging in the values, we have:
q = 250 g * 4.184 J/g°C * (128°C - 0°C)
q = 250 * 4.184 * 128
q = 128000 J
A 523 N force is applied to an object, causing it to accelerate 12 m/s2. The mass of the object is ____.
Answer:
43.58kg
Explanation:
The equation F=ma will help here.
F=ma
523N=m(12m/s^2)
43.58kg=m
when the first object reaches the bottom, what is the height above the ground of the other object? answer in units of m.
The remaining height of the second object is half the initial height of both objects, or h/2.
Let h be the initial height of both objects. When the first object reaches the bottom, it has lost all its potential energy, which is converted into kinetic energy. At this point, the second object still has some potential energy, which we can calculate as follows:
[tex]mgh = (1/2)mv^2[/tex]
where m is the mass of the object, g is the acceleration due to gravity, h is the remaining height, and v is the velocity of the object at the bottom.
Since the two objects have the same mass, we can cancel m from both sides of the equation:
[tex]gh = (1/2)v^2[/tex]
Now we can solve for h:
[tex]h = (1/2)(v^2/g)[/tex]
We know that v is the same for both objects and that it is given by:
[tex]v = \sqrt{(2gh)[/tex]
Substituting this expression for v in the equation for h, we get:
[tex]h = (1/2)(2gh/g) = h/2[/tex]
Therefore, the remaining height of the second object is half the initial height of both objects, or h/2.
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consider the compression of air by means of (a) shock compression and (b) isentropic compression. starting from the same initial conditions of p1 and v1, plot to scale the pv diagrams for both compression processes on the same graph. from the comparison, what can you say about the effectiveness of shock versus isentropic compression?
Effectiveness of shock compression versus isentropic compression depends on the application and the desired compression characteristics.
Shock compression and isentropic compression are two methods used for compressing air. In shock compression, the air is rapidly compressed by a shock wave, while in isentropic compression, the compression is slow and reversible, and the entropy remains constant throughout the process.
When we compare the PV diagrams for these two compression processes, we observe that the shock compression curve is steeper than the isentropic compression curve. This means that for the same final pressure, the volume in shock compression is smaller than in isentropic compression. This indicates that shock compression is a more effective compression process compared to isentropic compression.
The effectiveness of shock compression arises due to its rapid compression rate, which generates a higher pressure rise and temperature increase. This makes it useful for high-pressure applications, such as in supersonic aircraft engines and shock-wave experiments.
However, shock compression also generates a significant amount of entropy and heat, which can lead to the degradation of the compressed gas. Isentropic compression, on the other hand, produces no entropy or heat, but is slower and less effective for high-pressure applications.
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If a meteor with a 20 m in diameter impacts Earth on land, approximately how big will the crater be? a) 50 to 100 m in diameter. b) 200-400 m in diameter. c) 300-500 m in diameter.
A meteorite crater is a depression created when a spacecraft from another planet or solar system collides with Earth or another relatively big solid body, such as the Moon, another planet and its satellites, or larger asteroids and comets. Thus, option A is correct.
What is the meteor related to crater?A crater will most likely be created at the point of impact when a meteor impacts a planet. The size of the crater will increase as the object moves faster and becomes larger or heavier. The biggest predictors of impact crater size are the meteor's mass and velocity.
When a smaller solid object, such as an asteroid or meteorite, strikes the surface of a bigger solid object, such as a planet or moon, an impact crater is created.
Therefore, approximately big will the crater be 50 to 100 m in diameter.
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nd we place a potential difference 5.05 v across a and b, how much charge is present on the c2 capacitor?
The charge on capacitor C2 is 3.367 microcoulombs.
To determine the charge on capacitor C2, we can use the formula for capacitance:
C = Q / V
where C is the capacitance, Q is the charge, and V is the potential difference. We can rearrange this formula to solve for the charge:
Q = C * V
We first need to calculate the equivalent capacitance of the circuit, which can be found by adding the capacitances of C1 and C3 in series, and then adding that result to C2 in parallel. The equivalent capacitance is:
1/Ceq = 1/C1 + 1/C3
1/Ceq = 1/2 µF + 1/1 µF
1/Ceq = 1.5 µF
Ceq = 2/3 µF
Now we can find the charge on C2 by using the formula:
Q = C2 * V
Substituting the known values, we get:
Q = (2/3 µF) * 5.05 V = 3.367 µC
Therefore, the charge on capacitor C2 is 3.367 microcoulombs.
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The escape velocity on Earth is 11.2 km/s.The escape velocity on a planet having mass twice that of the earth and radius half that of the earth will be- a. 22.4 km/s b. 11.2 km/s c. 33.6 km/s d. None of the above
a cylindrical rod has a length of 36 cm and a diameter of 2.4 mm. what is the cross-sectional area in 10-6 m2? do not include units with your answer.
The cross-sectional area in 10⁻⁶ m of a cylindrical rod has a length of 36 cm and a diameter of 2.4 mm is 4.5216 x 10⁻⁶ m².
Cross Sectional Area of a Cylinder = π x R2 where π is a constant (3.14159265), which is the rate of the circumference to periphery of a circle, while R is the compass of the cylinder. So all you need to know, to be suitable to calculate the cross sectional area, is its compass. The forecourt of the compass, multiplied by π, shall give you the value of the cross sectional area. The unit of cross sectional area will depend on the length unit used for compass dimension. Since π is dimensionless, the unit for area could be meter2, cm2 or indeed ft2.
We're given a spherical rod whose cross-sectional area will be in the form of circle.
To calculate the area of circle, we use the equation:
Area = [tex]\pi r^2[/tex]
where,
r = radius of rod
r = 2.4 /2 = 1.2 x 10⁻³ m
(Conversion factor: 1 m = 1000 mm)
Putting values in above equation, we get:
Area = [tex]\pi r^2[/tex]
= 3.14 x (1.2 x 10⁻³)²
= 4.5216 x 10⁻⁶ m²
Therefore, the cross sectional area of cylinder rod is 4.5216 x 10⁻⁶ m².
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A capacitor is a device that is used to store up electrical potential energy. It consists of three parts sandwiched tightly together. Charges from one of the outer pieces are pumped around the circuit onto the other outer layer. In order for the capacitor to be able to build up as much potential as possible, what type of material should the middle layer be made of?
A conductor
An insulator
Any of the above
A semiconductor
The middle layer of a capacitor should be made of an insulator.
What is a capacitor?A capacitor is a passive electronic component that is used to store and release electrical energy in an electrical circuit.
A capacitor works by separating two conductive plates with an insulating material (the dielectric). When a voltage is applied to the plates, electric charge is stored in the dielectric and the capacitor can hold electrical energy.
Therefore, the middle layer of the capacitor must be an insulator so that it can prevent the electric charge from flowing between the two outer plates, and enable the build-up of as much potential as possible. If the middle layer were made of a conductor or a semiconductor, the capacitor would not work as intended.
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what is the magnitude of a point charge that would create an electric field of 1.20 n/c at points 1.60 m away?
The magnitude of a point charge that would create an electric field of 1.20 n/c at points 1.60 m away is 0.341 * [tex]10^{-9}[/tex] C.
Each location in space where a charge exists in any form can be considered to have an electric field attached to it. The electric force per unit charge is another name for an electric field. Variable magnetic fields or electric charges are frequently the cause of electric fields. Volts per metre (V/m), a unit used in the SI, is used to express electric field strength. The force acting on the positive charge is assumed to be exerted in the direction of the pitch. The electric field is directed radially inwards towards negative point charge and radially outwards from positive charge.
Electric field = 1.20 n/c
r= 1.60 m
[tex]E=\frac{q}{4\pi E_{o}*r^{2} } \\q=4\pi E_{o}*E*r^{2} \\=\frac{(1.20 n/c)((1.60m)^{2} }{8.99*10^{9}N.\frac{m^{2} }{C^{2} } } \\=0.341*10^{-9} C[/tex]
Therefore, the magnitude of a point charge that would create an electric field of 1.20 n/c at points 1.60 m away is 0.341 * [tex]10^{-9}[/tex] C.
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How do you know if a process is endothermic or exothermic?
Exothermic reactions have negative enthalpy because they release more energy than they take in. Consider this to be the quantity of heat that is emitted from (or removed from) the reaction.
A reaction is endothermic and will have a positive enthalpy if it absorbs or utilises more energy than it produces.
Energy is needed to dissociate atom bonds. It is liberated by forming new bonds.
The energy needed to dissolve the bonds between the reactants less the energy produced during the creation of new bonds in the products is the enthalpy of the reaction.
Examining the enthalpy changes during methane burning
In this reaction, the bonds between the oxygen atoms and the carbon atoms as well as the hydrogen atoms and carbon atoms are severed. These connections must be broken, which causes the reaction to consume energy.
New bonds then develop between carbon and oxygen as well as between hydrogen and oxygen.
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What does the mitochondria do?
Hold water
turn energy into food
In addition to generating energy, mitochondria also carry out a variety of other tasks for the cell, such as cellular metabolism, the citric acid cycle, producing heat, regulating calcium concentration, etc.
Describe mitochondria.The majority of the chemical energy required to drive a cell's metabolic operations is produced by membrane-bound cell organelles called mitochondria (plural: mitochondrion). Adenosine triphosphate is a little molecule that stores the chemical energy generated by the mitochondria (ATP).
What carry out the mitochondria?In addition to their obvious role in oxidative phosphorylation, which generates cellular ATP, mitochondria also play critical roles in ion homeostasis, various metabolic pathways, apoptosis and programmed cell death, as well as the creation and consumption of ROS.
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what is the moment of inertia of a 1.5-kg-rod that rotates about its center? the length of the rod is 1.8 m.
The moment of inertia of the 1.5-kg rod rotating about its center is 0.6075 kg*m².
The moment of inertia of a rod rotating about its center can be calculated using the formula:
I = (1/12) * m * L^2
where I is the moment of inertia, m is the mass of the rod, and L is the length of the rod.
In this case, the mass of the rod is 1.5 kg, and the length of the rod is 1.8 m. Plugging these values into the formula, we get:
I = (1/12) * 1.5 kg * (1.8 m)^2
= 0.6075 kg*m^2
Therefore, the moment of inertia of the 1.5-kg rod rotating about its center is 0.6075 kg*m^2.
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what is the azimuth of an object that is ten degrees south of east?
Azimuth is measured in degrees, with a full circle having 360 degrees, counting clockwise from north. A ten degree south of east object has an azimuth of 100 degrees.
Azimuth circles have 360 degrees in them. 90 degrees is equivalent to the east, 180 to the south, 270 to the west, 360 to the north, and 0 to the north. a horizon arc that is measured from a fixed point, such as true north, to the vertical arc that passes across the center of an object. Your azimuth is the line. You must now calculate the line's grid azimuth, or the angle between the line and grid north. Learn the concepts azimuth and direction by memorizing flashcards with terms like Ten degrees south of you, a brilliant star may be seen in the southern sky.
The term azimuth is used in astronomy and navigation to describe the horizontal angle between an object's direction and true north. The east is at 90 degrees, the south is at 180 degrees, and the west is at 270 degrees since it is often measured in degrees clockwise from the north.
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What strength electric field is needed if the electron is to emerge from an exit hole 1. 0 cm away from the entrance hole, traveling at right angles to its original direction? hint: the difficulty of this problem depends on how you choose your coordinate system
The strength of the electric field needed if the electron is to emerge from an exit hole 1. 0 cm away from the entrance hole, travelling at right angles to its original direction is [tex]\frac{-K}{(q(.01*cos45))} = E[/tex].
The electric field needs to bring vertical velocity to zero and horizontal velocity to what the vertical velocity was. We need to find what E-field is required to bring the vertical velocity to zero without having to worry about the horizontal velocity, I think.
Vi = [tex]\frac{(2\frac{K}{m} )1}{2 }[/tex]
d = 0.01*cos45
0 = [tex](\frac{2K}{m} )+2a*.01*cos45[/tex]
[tex]\frac{-K}{(m(.01*cos45)) } =a[/tex]
Now finding acceleration in terms of E
qE=ma
[tex]q\frac{E}{m} = a[/tex]
Combining them:
[tex]\frac{-K}{(m(.01*cos45))}[/tex]= [tex]q\frac{E}{m}[/tex]
[tex]\frac{-K}{(q(.01*cos45))}[/tex]=E
Therefore, when we go through this we get 17655 [tex]\frac{N}{C}[/tex], which seems close (right order of magnitude).
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The correct question is:
A problem of practical interest is to make a beam of electrons turn a 90∘ corner. This can be done with the parallel-plate capacitor shown in the figure (Figure 1). An electron with kinetic energy 2.0×10−17 J enters through a small hole in the bottom plate of the capacitor. What strength electric field is needed if the electron is to emerge from an exit hole 1.0 cm away from the entrance hole, travelling at right angles to its original direction?
tree is placed 15 cm of converging mirror the radius of curvature is 20 cm calculate the distance of image
A tree is placed cm from the converging mirror, and the radius of curvature is 20 cm. The distance of the image is 30 cm.
What is a converging mirror?A converging mirror is also known as a concave mirror, whose inner side has a reflecting surface. They are called converging mirror because it converges all parallel beam of light incident on them.
u = -15cm, object distance
R = -20cm (Converging mirror)
f = R/2 = -10 cm focal length
1/v + 1/u = 1/f
1/v + 1/-15 = 1/-10
1/v – 1/15 = -(1/10)
1/v = 1/15 – 1/10 = (2 -3)/30 = - (1/30)
v = - 30 cm
Therefore, the image is formed 30 cm in front of the mirror.
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A beam of light strikes a mirror at an angle of 45 degrees. What shape is formed by the beam of light?
A. Any motion into directions such as up and down
B. The letter v
C. A straight line
D. The letter U
PLEASE ANSWER ASAPPPP
A mirror receives a light beam at a 45 degree angle. The light beam takes the form of a straight line. As a result, choice (C) is accurate.
When a beam of light strikes a mirror at an angle, the reflected beam follows the law of reflection, which states that the angle of reflection is equal to the angle of incidence, and both angles are measured with respect to the normal (a line perpendicular to the surface of the mirror) at the point of incidence.
In this case, since the beam of light strikes the mirror at an angle of 45 degrees, the angle of reflection is also 45 degrees, as shown in the diagram below:-
/|
/ |
/ |
/ |
/________| <--- Mirror surface
| /
| /
| /
| /
As a result of the law of reflection, the reflected beam of light will form a symmetrical angle with the incident beam, as shown in the diagram below:-
/|
/ |
/ |
/ |
| /
| /
| /
|/
This reflected beam will continue to travel in a straight line away from the mirror, and will not change shape. Therefore, the correct answer is option C: "A straight line".
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how much energy is lost to friction if the motorcycle only gains an altitude of 21 m before coming to rest?
Zero energy is lost to friction if the motorcycle only gains an altitude of 21 m before coming to rest.
To calculate the energy lost to friction,
we need to use the relationship between the potential energy gained by the motorcycle and the work done by friction to bring the motorcycle to a stop.
The potential energy gained by the motorcycle can be calculated using:PE = mgh
where m is the mass of the motorcycle, g is the acceleration due to gravity, and h is the height gained by the motorcycle.
Substituting the given values,
we have:
PE = (250 kg) x9.81 m/s^2x (21 m)
PE = 51,622.5 J
The work done by friction can be calculated using:
W = Fd
where F is the force of friction, and d is the distance travelled by the motorcycle before coming to a stop.
Since the force of friction is in the opposite direction to the direction of motion, the work done by friction is negative.
Substituting the given values, we have:W = -F x d
We don't know the force of friction, but we can use the work-energy principle to relate it to the potential energy gained by the motorcycle and the work done by friction.
The work-energy principle states that:W = ΔK + ΔU
where ΔK is the change in kinetic energy, and
ΔU is the change in potential energy.
Since the motorcycle comes to a stop, the change in kinetic energy is equal to the initial kinetic energy (since the final kinetic energy is zero).
Therefore:W = -ΔK + ΔU
Since the motorcycle starts from rest, the initial kinetic energy is zero,
So,
W = -Kf + ΔU
where Kf is the final kinetic energy (which is zero) and
ΔU is the potential energy gained by the motorcycle.
Substituting the given values, we have:W = -51,622.5 J + 51,622.5 JW = 0 J
Therefore, the work done by friction is zero, which means that all of the potential energy gained by the motorcycle was converted to other forms of energy (such as heat and sound). None of the energy was lost to friction.
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a skydiver falls towards the earth. the attraction of the earth on the diver pulls the diver down. what is the reaction to this force? air resistance the diver encounters while falling the attraction to the planets, stars, and every particle in the universe water resistance that will soon act upward on the diver all of these none of these
The reaction to the force of the Earth's attraction is air resistance, which the diver encounters while falling.
What is air resistance?Air resistance is a type of drag force that occurs when air slows down an object's motion as it moves through the air. It is an opposing force that acts on an object in motion through the air, and is caused by the air molecules colliding with the object's surface.
This air resistance creates an upward force on the diver, slowing down their descent. Additionally, the diver also experiences water resistance when they reach the surface of the water, which acts in the opposite direction of the Earth's gravitational attraction, pushing the diver upwards. Finally, the diver is also affected by the attraction of other planets, stars, and particles in the universe, although their influence is negligible compared to the Earth's gravitational pull.
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The time needed for a water wave to change from the equilibrium level to the crest is 0.5731 s.
1. What is the period of the wave? Answer in units of s.
2. What is the frequency of the wave? Answer in units of Hz.
1. The period of the waves is 2.2924s.
2. The frequency of the wave is 0.4362 Hz.
Given :
t=0.5731 s.
The time taken to travel this would be
t = T/4
T = [tex]0.5731*4[/tex]
T = 2.2924
Frequency is given by,
f = 1/T
f = [tex]1/2.2924[/tex]
f = 0.4362 Hz.
What is the time period in physics?
The time taken for one complete oscillation to occur is called the Time Period. It is denoted by T. Its unit is seconds.
What is the frequency?
Frequency is the number of vibrations or the number of occurrences of a repeating event per unit of time. The frequency is measured in terms of Hertz.
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what is assumption we are trying to validate in part a of the calorimetry experiment? styrofoam cups are equivalent to a 150 ml beaker. styrofoam cups isolate the system and surroundings from the rest of the universe. styrofoam cups keep our coffee hot. styrofoam cups open the system and surroundings to the rest of the universe. styrofoam cups support heat flow from the system to the surroundings.
The assumption we are trying to validate in part a of the calorimetry experiment:
No heat is lost to the terrain- that is, energy exchange only happens between the object of interest and water. No heat is lost to the surroundings.In connection to Assumption 1, there's only a veritably negligible( if any) transfer of energy to the walls of the vessel( this is the energy transferred to the calorimeter itself, which is still part of the system. This supposition is necessary because measures are made to water-- see Assumption 1).The heat measured is also attributed to a complete response. Hence, it's always assumed that the response is 100 complete- i.e. 100 Yield, which noway happens in real life.For dilute results, the supposition is that the viscosity is always equal to that of water(1.00 g/ ml) with a specific heat capacity of4.18 joule per gram per degree Celcius.In connection to Assumption 3, it's also assumed that in whatever chemical response is being studied, no side response is occuring, and that no contamination is present in the system( which is of course a necessity, and the researcher should make sure that there's as little contamination as possible).Learn more about calorimetry experiment:
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Complete question:
What is/are the purpose(s) of the Styrofoam cups in this experiment? What are some assumptions that we make during this experiment in order to calculate the enthalpy of formation of ammonium sulfate? Calculate the mass of the solution used if a student added 35.369 grams of ammonium sulfate to enough water to give 80.0 mL of solution. The density of the solution was 1.00 g/mL. How many significant figures should your answer have? For the reaction (i.e., Part I of this experiment, calculate the number of moles of the limiting reactant when 25.0 mL of 2.085 M H_2SO_4 (aq) it mixed with 50.0 mL of 1.873 M NH_3(aq) using the molar ratio of the reaction. Show your work with the correct units and number of significant figures.
what is free-fall, and why does it make you weightless? briefly describe why astronauts are weightless in the international space station.
Free-fall is the state of motion where an object is accelerating due to gravity alone, with no other forces acting on it. Everything inside the ISS is also in free-fall, the astronauts and everything else in the station are weightless
In free-fall, an object is said to be weightless because it experiences zero normal force, which is the force that a surface exerts on an object to support its weight.
When an astronaut is inside the International Space Station, they are essentially in a state of constant free-fall around the Earth. The ISS is in a low-Earth orbit, which means that it is moving fast enough to continuously fall towards the Earth but also fast enough to miss it due to the curvature of the Earth. They experience no normal force and feel as though they are floating in microgravity.
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What kind of strip is Dr. Hewitt holding in his hand?
What happens when Dr. Hewitt heats up the strip?
Why does the strip behave as it does when Dr. Hewitt heats it up?
(a) a strip welded together from brass on one side and steel on the other Stripe made of two metals.
(b) It flexes.
(c) These metals expand in different ways.
A bimetallic strip is made up of two distinct metals that have been welded together. Different metals expand at various rates when heated. It bends as a result of heat expansion. Thermal expansion refers to the tendency of matter to alter form, area, and volume in reaction to temperature changes.
Because the water vapor flowing out of the nozzle has expanded and cooled, he may hold his palm a few inches above the nozzle.
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John is pushing a wheelbarrow with a sand on a buildingsite. The total mass of the wheelbarrow and it's contents is 30 kg . When he applies a force of 20N, the wheelbarrow moves forward at a constant speed. What is the magnitude of the friction between the wheels and the ground? Explain your answer.(20N)
Let the magnitude of friction force = f
acceleration ,a = 0 (because it moves with constant speed)
F=ma
20-f=30x0
f=20N
an object whose center of gravity is above its base of support will be unstable if a vertical line projected downward from the center of gravity falls outside of the base of support. true false
An object whose center of gravity is above its base of support will be unstable if a vertical line projected downward from the center of gravity falls outside of the base of support. This statement is true.
The center of gravity of an object is the point at which its weight can be considered to act. If the center of gravity is above the base of support, the object will tend to tip over or fall if the vertical line projected downward from the center of gravity falls outside of the base of support.
If the base of support is not wide enough to counteract this torque, the object will become unstable and tip over.
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the earth has a much larger mass than the moon. how many moons would it take to equal the mass of earth?
It would take approximately 81.3 Moons to equal the mass of the Earth.
What is the mass of the earth?Iron and oxygen make up the majority of the Earth's mass. Each of these makes up around 32% of the mass of the planet. Calcium, aluminum, and nickel make up roughly 1.5% of the total, followed by magnesium and silicon, which each contribute another 15%.
The mass of the Earth is approximately 5.97 x 10^24 kilograms, while the mass of the Moon is approximately 7.35 x 10^22 kilograms.
To determine how many Moons would be required to equal the mass of the Earth, we can divide the mass of the Earth by the mass of the Moon:
5.97 x 10^24 kg / 7.35 x 10^22 kg = 81.3
Therefore, it would take approximately 81.3 Moons to equal the mass of the Earth.
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your roommate is working on his bicycle and has the bike upside down. he spins the 60.0 cm -diameter wheel, and you notice that a pebble stuck in the tread goes by three times every second. what is the acceleration of the pebble
The acceleration of the pebble stuck in the tread goes by three times every second is 106.592 m/s².
Diameter = 60 cm, Radius = 60/2 = 30 cm = 30/100 = 0.3 m.
The pebble in the tread goes by 3 times every second.
This is the same as 3 times per second.
Recall the unit of frequency is Hertz or per second, s⁻¹
So 3 times per second, Frequency, f = 3s⁻¹ or 3 Hertz
For angular motion:
Angular speed, ω = 2πf
= 2*π*3
= 6π rad/s
Linear speed, v = ωr = 6π * 0.3 = 1.8π m/s
Linear acceleration, a = v² / r
a = 1.8π * 1.8π / 0.3 = 10.8π² m/s²
Angular acceleration α = a/r = 10.8π² / 0.3 = 36π² rad/s²
Angular speed = 6π rad/s ≈ 18.840 rad/s
The linear speed of the pebble = 1.8π m/s ≈ 5.655 m/s
The angular acceleration = 36π² rad/s² ≈ 355.306 rad/s²
The linear acceleration of the pebble = 10.8π² m/s ≈ 106.592 m/s²
The rate at which the speed and direction of a moving object vary over time. A point or object going straight ahead is accelerated when it accelerates or decelerates. Even if the speed is constant, motion on a circle accelerates because the direction is always shifting.
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A moving ball is analogy for movement of light. Which of these moments of the ball is an analogy of reflection of light?
A) stopping
B)Bouncing
C) Speeding up
B) bouncing
Hope it helps
The moment of the bouncing ball is an analogy for the reflection of light. The correct option is B.
What are the reflection and refraction of light?Reflection and refraction are two important properties of light that describe how it interacts with surfaces and passes through materials.
Reflection occurs when light bounces off a surface, changing direction and continuing to travel in a new direction. The angle of incidence (the angle between the incoming light and the surface) is equal to the angle of reflection (the angle between the reflected light and the surface). Reflection is responsible for the formation of images in mirrors, and it is also used in many optical systems, such as telescopes and camera lenses.
Refraction occurs when light passes through a material and changes direction due to a change in speed. This change in direction is caused by the bending of light as it enters a medium with a different refractive index. The amount of refraction that occurs depends on the angle of incidence and the refractive indices of the two materials involved. Refraction is responsible for many optical phenomena, such as the bending of light in lenses, the formation of rainbows, and the distortion of objects viewed through water or glass.
Both reflection and refraction are fundamental concepts in optics and have important practical applications in a wide range of fields, including astronomy, photography, and telecommunications.
Therefore, The moment of the bouncing ball is an analogy for the reflection of light. When a ball bounces, it reflects off a surface and changes direction, just as light reflects off a surface and changes direction during reflection.
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What are the two factors that determine gravitational attraction?
The two factors that determine gravitational attraction force are- 1- Mass 2- distance. Gravity is an attractive force, one that attracts all of the matter in the Universe towards all of the other bits of matter in the Universe.
What is the factors that determine gravitational attraction?On the size scale of moons, planets, stars, and galaxies, it is an extremely important force, and governs much of the behavior of these objects.
Gravity keeps our feet firmly on the ground, keeps the Moon in orbit around the Earth, keeps the Earth in orbit around the Sun, keeps the Sun in orbit around the center of our Milky Way galaxy.
When dealing with the force of gravity between two objects, there are only two things that are important – mass, and distance. The force of gravity depends directly upon the masses of the two objects, and inversely on the square of the distance between them.
This can be determined by Sir Isaac Newton’s universal law of gravitation (F=Gmm/r2). According to which the gravitational attraction is directly dependent on the mass, while it is inversely dependent on the distance.
Therefore, This means that the force of gravity increases with mass, but decreases with increasing distance between objects.
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An elevator suspended by a cable is descending at constant velocity. Name these forces.
An elevator is suspended by a cable, descending at constant velocity. Forces are tension force which acts upward and gravity force or elevator's weight, which acts downward.
What is meant by tension forces?In physics, tension is described as pulling force transmitted axially by the string, rope, chain, or similar object, or by each end of rod or similar three-dimensional object. Tension can also be described as the action-reaction pair of forces acting at each end of the said elements
Tension force falls under category of contact forces as it can only be exerted when there is a contact between cable and an object of consideration. This kind of force always pulls but never pushes.
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