Two identical pucks of mass 40 grams on an air hockey table collide (no friction). Puck A is traveling at 15 m/s when it collides with Puck B, which is initially at rest. After the collision, both pucks travel in the same direction, with puck A moving at 6 m/s and puck B moving independently of A (no sticking). a. Find the initial momentum of both puck A and puck B before the collision. b. Calculate the final velocity of puck B after the collision. c. Calculate the final momentum of each puck after the collision. d. Calculate the total final momentum between the two pucks. How does it compare to the total momentum before the collision?

College Physics
11th Edition
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Chapter1: Units, Trigonometry. And Vectors
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8. Two identical pucks of mass 40 grams on an air hockey table collide (no friction). Puck A
is traveling at 15 m/s when it collides with Puck B, which is initially at rest. After the
collision, both pucks travel in the same direction, with puck A moving at 6 m/s and puck
B moving independently of A (no sticking).
a. Find the initial momentum of both puck A and puck B before the collision.
b. Calculate the final velocity of puck B after the collision.
c. Calculate the final momentum of each puck after the collision.
d. Calculate the total final momentum between the two pucks. How does it compare
to the total momentum before the collision?
9. Rosita needs to purchase a sump pump for her basement that must carry 10.0 kg of
water to a height of 3.0 m every minute.
a. How much work is done by the pump in moving 10.0 kg of water?
b. How much power must the pump use to complete its task?
10. A 700 kg roller coaster car travels along the tracks shown below. At point A, the car is 60
m above the ground and traveling at 1 m/s. The car is 35 m and 12 m above the ground
at points B and C, respectively. Assuming all energy is conserved, find the velocity of the
car at points B and C.
Name:
11. A basketball of mass 0.5 kg at rest is dropped from a height of 2.0 m.
a. Use the kinematic equations to find the speed the ball when it hits the ground.
b. Now calculate the speed of the ball when it hits the ground using your
understanding of energy conservation.
c. Find the momentum of the ball as it hits the ground.
d. Assuming no energy is lost in the collision, how high should the ball bounce after
hitting the ground?
e. What factors keep the ball from achieving the height you found in part d?
12. The diameter of a car tire is 0.8 m. Initially, the car is traveling at 12 m/s.
a. Find the angular speed of the tire.
b. The car accelerates to a speed of 30 m/s over 5 seconds. Find the linear and
angular acceleration of the tire over this period.
c. Find the angular speed of the tire while the car is traveling at 30 m/s. How does
the difference in linear speeds compare to the difference in angular speeds?
Transcribed Image Text:8. Two identical pucks of mass 40 grams on an air hockey table collide (no friction). Puck A is traveling at 15 m/s when it collides with Puck B, which is initially at rest. After the collision, both pucks travel in the same direction, with puck A moving at 6 m/s and puck B moving independently of A (no sticking). a. Find the initial momentum of both puck A and puck B before the collision. b. Calculate the final velocity of puck B after the collision. c. Calculate the final momentum of each puck after the collision. d. Calculate the total final momentum between the two pucks. How does it compare to the total momentum before the collision? 9. Rosita needs to purchase a sump pump for her basement that must carry 10.0 kg of water to a height of 3.0 m every minute. a. How much work is done by the pump in moving 10.0 kg of water? b. How much power must the pump use to complete its task? 10. A 700 kg roller coaster car travels along the tracks shown below. At point A, the car is 60 m above the ground and traveling at 1 m/s. The car is 35 m and 12 m above the ground at points B and C, respectively. Assuming all energy is conserved, find the velocity of the car at points B and C. Name: 11. A basketball of mass 0.5 kg at rest is dropped from a height of 2.0 m. a. Use the kinematic equations to find the speed the ball when it hits the ground. b. Now calculate the speed of the ball when it hits the ground using your understanding of energy conservation. c. Find the momentum of the ball as it hits the ground. d. Assuming no energy is lost in the collision, how high should the ball bounce after hitting the ground? e. What factors keep the ball from achieving the height you found in part d? 12. The diameter of a car tire is 0.8 m. Initially, the car is traveling at 12 m/s. a. Find the angular speed of the tire. b. The car accelerates to a speed of 30 m/s over 5 seconds. Find the linear and angular acceleration of the tire over this period. c. Find the angular speed of the tire while the car is traveling at 30 m/s. How does the difference in linear speeds compare to the difference in angular speeds?
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