Free Response (10 pts each) Read each question carefully. Solve the following pr

Question

Free Response (10 pts each) Read each question carefully. Solve the following pro 1) A roll of pennies with a mass of 0.115 kg/is dropp problems. Show your work including a dropped onto the beach from a 40 m high How much work is done by the ground in stopping t What is the speed of the penny right before it hits a. b. 4o ) In a game of pool, a cue ball is hit towards an 8-ball initially at rest. After the balls collide the 8 ball has a final velocity of 0.75 h/s at 45° What is the final velocity of the cue ball? m/s 0.17kg- 0.16kg 012) (3ml)

Explanation / Answer

1)

a)

h = height of balcony = 40 m

m = mass of penny = 0.115 kg

Using conservation of energy

Work done by ground to stop the penny = Potential energy of the penny at the Top of balcony initially

W = mgh

W = (0.115) (9.8) (40)

W = 45.08 J

b)

v = speed just before touching the ground = ?

Using conservation of energy

Kinetic energy just before touching the ground = Potential energy of the penny at the Top of balcony initially

(0.5) m v2 = mgh

v = sqrt(2gh)

v = sqrt(2 x 9.8 x 40)

v = 28 m/s

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