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**1. A 1.70 kg black and a spring with a force constant of 955 N/m are oriented vertically as shown below (see attached document for picture). Initially the spring is compressed 4.60 cm and the block is held at rest. When the block is released, it accelerates upward. Find the speed of the block when the spring has returned to its equilibrium position.**

**2. A 0.144 kg baseball is moving towards home plate with a speed of 43.0 m/s when it is bunted. The bat exerts an average force of 6.50 x 10 ^3 N on the ball for 1.30 ms. The average force is directed towards the pitcher, which we take to be the positive x direction. What is the final speed of the ball?**

**3. When a 420 gram mass is attached to a spring, it oscillates with a period of 0.350 seconds. If instead, a different mass m2 is attached to the same spring, it oscillates with a period of 0.700 seconds.**

**A) Find the force constant of the spring**

**B) Find the mass m2**

**4. An object initially at rest breaks into two pieces as a result of an explosion. One piece has twice the kinetic energy of the other piece. What is the ratio of the masses of the two pieces? Which piece has the larger mass?**

**5. A bullet with a mass of 4.0 grams and a speed of 650 m/s is fired at a block of wood with a mass of 0.095 kg. The block rests on a frictionless surface, and is thin enough that the bullet passes completely through it. Immediately after the bullet exits the block, the speed of the block is 23 m/s.**

**A) What is the speed of the bullet when it exits the block?**

**B) Is the final kinetic energy of this system equal to, less than, or greater than the initial kinetic energy? Explain.**

**C) Verify your answer to part B by calculating the initial and final kinetic energies of the system.**

Physics 115 Homework Assignment 5

Physics 115 Homework Assignment 5

Due date: October 12 2016

th Name __________________________________

1. A 1.70 kg block and a spring with a force constant of 955 N/m are oriented vertically

as shown below. Initially the spring is compressed 4.60 cm and the block is held at

rest. When the block is released, it accelerates upward. Find the speed of the block

when the spring has returned to its equilibrium position.

y

y=0 2. A 0.144 kg baseball is moving towards home plate with a speed of 43.0 m/s when it is

bunted. The bat exerts an average force of 6.50 × 103 N on the ball for 1.30 ms. The

average force is directed towards the pitcher, which we take to be the positive x

direction. What is the final speed of the ball? 3. When a 420 gram mass is attached to a spring, it oscillates with a period of 0.350 s. If

instead, a different mass m2 is attached to the same spring, it oscillates with a period

of 0.700 s.

(a) Find the force constant of the spring

(b) Find the mass m2 4. An object initially at rest breaks into two pieces as a result of an explosion. One piece

has twice the kinetic energy of the other piece. What is the ratio of the masses of the two

pieces? Which piece has the larger mass?

5. A bullet of with a mass of 4.0 g and a speed of 650 m/s is fired at a block of wood

with a mass of 0.095 kg. The block rests on a frictionless surface, and is thin enough that

the bullet passes completely through it. Immediately after the bullet exists the block, the

speed of the block is 23 m/s. (a) What is the speed of the bullet when it exits the block?

(b) Is the final kinetic energy of this system equal to, less than, or greater than the initial

kinetic energy? Explain. (c) Verify your answer to part (b) by calculating the initial and

final kinetic energies of the system.

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