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# Conservation of Energy

### Electrostatics: Ootential energy and conservation laws

Two particles each have a mass of 5.4 x 10-2 kg. One has a charge of +4.8 x 10-6 C, and the other has a charge of -4.8 x 10-6 C. They are initially held at rest at a distance of 1.1 m apart. Both are then released and accelerate toward each other. How fast is each particle moving when the separation between them is one-half its

### 23 problems on kinematics and Newton's motion laws

(See attached file for full problem description with diagrams) --- Question 1: A 0.20-kg billiard ball traveling at a speed of 15 m/s strikes the side rail of a pool table at an angle of 60 degree. If the ball rebounds at the same speed and angle, what is the change in its momentum? Question 2: A one-dimensional impulse f

### SHM With Conservation of Momentum, energy: Vertical spring

For lunch you and your friends decide to stop at the nearest deli and have a sandwich made fresh for you with 0.300 of Italian ham. The slices of ham are weighed on a plate of mass 0.400 placed atop a vertical spring of negligible mass and force constant of 200 . The slices of ham are dropped on the plate all at the same time

### A mass sliding down an inclined plane loops into a circular path in the vertical plane. To determine the normal force on the mass at the top position in the loop.

(See attached file for full problem description)

### A block is released from rest at the top of a curved-shaped frictionless wedge which rests on a frictionless horizontal surface. Its velocity at the time of leaving the wedge is known. To determine the velocity of the wedge after the block reaches the horizontal surface and the height of the wedge.

10. A small block of mass m1 = 0.480 kg is released from rest at the top of a curved-shaped frictionless wedge of mass m2 = 3.00 kg, which sits on a frictionless horizontal surface as in Figure (see attachment). When the block leaves the wedge, its velocity is measured to be v1 = 3.60 m/s to the right, as shown in Figure. (a

### Elastic collision of blocks

Two blocks are free to slide along a frictionless wooden track ABC as shown in Figure (see attachment). A block of mass m1 = 4.95 kg is released from A. Protruding from its front end is the north pole of a strong magnet, repelling the north pole of an identical magnet embedded in the back end of the block of mass m2 = 9.00 kg, i

### Final Temperature - Iron

Two iron bolts of equal mass -- one at 110.°C, the other at 34°C -- are placed in an insulated container. Assuming the heat capacity of the container is negligible, what is the final temperature inside the container (c of iron = 0.450 J/gK)?

### Inelastic central collisions

Take g= 9.8 m/s^2. A 0.5 kg ball moving at 12 m/s collides centrally with a 0.25 kg ball moving in the opposite direction at 18 m/s. If the collision is inelastic and the balls stick together after colliding find: 1) the common velocity after impact, 2) the loss in kinetic energy in the collision, and 3) what forms d

### Mechanics: Conservation of energy, falling mass on spring.

7-58. An 80.0kg man jumps from a height of 2.50m onto a platform mounted on springs. As the springs compress, the platform is pushed down a maximum distance of 0.240m below its initial position, and then it rebounds. The platform and springs have negligible mass. A) What is the man's speed at the instant the platform is depresse

### Rotational Motion: conservation of angular momentum, energy.

Two astronauts (Fig.), each having a mass of 70.0 kg, are connected by a 11.0 m rope of negligible mass. They are isolated in space, orbiting their center of mass at speeds of 4.70 m/s. (a) Treating the astronauts as particles, calculate the magnitude of the angular momentum. (b) Calculate the rotational energy of the syst

### Conservation of Energy: Block Falling on a Spring

The green block is falling at a speed of 29 m/s and is 14 meters above the spring. The spring constant is 4000 N/m, To the nearest tenth of a cm how far is the spring compressed? To the nearest hundredth of a meter, to what height will the block rise after it hits and leaves the spring?

### Conservation of energy: motion on vertical circle with force

In her hand a softball pitcher swings a ball of mass 0.251 kg around a vertical circular path of radius 59.5 cm before releasing it from her hand. The pitcher maintains a component of force on the ball of constant magnitude 30.2 N in the direction of motion around the complete path. The speed of the ball at the top of the circle

### Conservation of Energy: Breaking of the Pendulum String

A 1.91 kg ball is attached to the bottom end of a length of fish line with a breaking strength of 8 lb (35.6 N). The top end of the fishing line is held stationary. The ball is released from rest with the line taut and horizontal ( = 90.0°). At what angle (measured from the vertical) will the fish line break?

### Conservation of Energy: Spring Block on an Incline

An object of mass m starts from rest and slides a distance d down a frictionless incline of angle. While sliding, it contacts an unstressed spring of negligible mass as shown in Figure. The object slides an additional distance x as it is brought momentarily to rest by compression of the spring (of force constant k). Find the in

### Mechanics: 3 Probles on conservation of energy and momentum. Collisions are discussed in detail.

(See attached files for full problem descriptions with diagrams, units and proper equations) --- Let two particles of equal mass collide. Particle 1 has initial velocity , directed to the right, and particle 2 is initially stationary. Part A If the collision is elastic, what are the final velocities and of particles 1

### Conservation of Energy and Ramps

A truck of mass m has a brake failure while going down an icy mountain road with downward slope angle a. Initially the truck is moving downhill at speed V(0). After careening downhill a distance L with negligible friction, the truck driver steers the runaway vehicle onto a runaway truck ramp of constant upward slope angle B. The

### 3 problems related to work done and conservation of energy are solved.

(See attached files for full problem description with units and diagrams --- The figure is the velocity-versus-time graph for a 3.90 object moving along the x-axis. Determine the work done on the object during each of the five intervals AB, BC, CD, DE, and EF. --- Part A Use work and energy to find the speed of the 2.

### Conservation of Energy

A metal can containing condensed mushroom soup has mass 220 g, height 11.2 cm and diameter 6.38 cm. It is placed at rest on its side at the top of a 3.00 m long incline that is at 26.0° to the horizontal, and is then released to roll straight down. Assuming mechanical energy conservation, calculate the moment of inertia of the

### Compression and Speed of Spring

Please assist me with the attached 10 exam review problems. Compression and speed of spring, acceleration of gravity, tension in a tightrope, speed of a wave

### Physics: Work and energy, linear momentum, and rotational motion

Problem1: A neutron in a nuclear reactor makes an elastic head-on collision with a carbon atom initially at rest. (the mass of the carbon atom is 12 times that of the neutron.) what fraction of the neutron's kinetic energy is transferred to tha carbon atom? (express your answer in percent) Problem2: A 1400kg rocket sled at re

### Charged Spheres and Charges on a Line

1) The figure shows 3 pairs of identical spheres that are to be touched together and then separated. The initial charges on them are indicated. Rank the pairs according to (a) the magnitude of the charge transferred during touching and (b) the charge left on the positively charged sphere, greatest first. The picture s

### Energy Conservation in Oscillatory Motion

A 10.0 g bullet embeds itself in a 0.500 kg block, which is attached to a spring of force constant 36.0 N/m. If the maximum compression of the spring is 1.50 cm, find (a) the initial speed of the bullet and (b) the time for the bullet-block system to come to rest.

### Energy Conservation in Oscillatory Motion: Block and Spring

A 0.540 kg block slides on a frictionless, horizontal surface with a speed of 1.13 m/s. The block encounters an unstretched spring and compresses it 25 cm before coming to rest. (a) What is the force constant of this spring (b) How long is the block in contact with the spring before it comes to rest? (c) If the force con

### Energy conservation in oscillatory motion

A 0.40 kg mass is attached to a spring with a force constant of 26 N/m and released from rest a distance of 3.2 cm from the equilibrium position of the spring. (a) Give a strategy that allows you to find the speed of the mass when it is halfway to the equilibrium position. (b) Use your strategy to find the speed.

### Inelastic coliision momentum

2. [SJ3 8.P.047.] Tarzan, whose mass is 75.0 kg, swings from a 3.00 m vine that is horizontal when he starts. At the bottom of his arc, he picks up 55.0 kg Jane in a perfectly inelastic collision. What is the height of the highest tree limb they can reach on their upward swing?

### Conservation of linear momentum

A 0.300 kg puck, initially at rest on a horizontal, frictionless surface, is struck by a 0.200 kg puck moving initially along the x axis with a speed of 2.00 m/s. After the collision, the 0.200 kg puck has a speed of 1.00 m/s at an angle of = 54.0° to the positive x axis (Fig. 8.10). Figure 8.10. (a) Determine the speed

### Law of conservation of energy

You (A) are in a sledge sliding down an inclined plane. (Friction is neglected). An observer (B) at the foot of the plane looks at your initial position at the top of the slide and sees your energy as potential energy (mgh). You (A) slide down to the bottom of the plane and have a velocity of V0 . So the observer sees mgh

### Relativity and the Law of Conservation of Energy

You (A) are in a sledge sliding down an inclined plane. (Friction is neglected). An observer (B) at the foot of the plane looks at your initial position at the top of the slide and sees your energy as potential energy (mgh). You (A) slide down to the bottom of the plane and have a velocity of V0. So, the observer sees mgh = m

### Hydro-electric Power Output and Conservation of Energy

1. A man can throw a stone of mass 0.5kg upwards with a velocity of 10m/s. Using the conservation of energy equation find the maximum height that the stone can reach. 2. A hydroelectric power station has water falling from a reservoir at a height of 100 m above the turbine. If the water flow is 0.25 m3/s and the overall effic

### Determine the Angular Velocity and Final Temperature

1) A boxer is struck by an opponent causing him to rotate about a vertical axis with an angular velocity of one revolution per second while his arms are extend horizontally with a 12-kg glove on each hand. He drops his hands to his sides hoping that the increase in angular velocity will cause the next blow to glance off him. If