1)A softball of mass 0.220 kg that is moving with a speed of 8.5 m/s collides he
ID: 2259815 • Letter: 1
Question
1)A softball of mass 0.220kg that is moving with a speed of 8.5m/s collides head-on and elastically with another ball initially at rest. Afterward the incoming softball bounces backward with a speed of 3.2m/s.
a) Calculate the velocity of the target ball after the collision.
b) Calculate the mass of the target ball
2)A 930kg sports car collides into the rear end of a 2500kg SUV stopped at a red light. The bumpers lock, the brakes are locked, and the two cars skid forward 3.1m before stopping. The police officer, knowing that the coefficient of kinetic friction between tires and road is 0.80, calculates the speed of the sports car at impact. What was that speed?
3)On a frictionless horizontal air table, puck A (with mass 0.255kg) is moving toward puck B (with mass 0.367kg), which is initially at rest. After the collision, puck A has velocity 0.125m/s to the left, and puck B has velocity 0.649m/s to the right.
a) What was the speed vAi of puck A before the collision?
b) Calculate ?K, the change in the total kinetic energy of the system that occurs during the collision.
Please include all steps and answers!
A softball of mass 0.220kg that is moving with a speed of 8.5m/s collides head-on and elastically with another ball initially at rest. Afterward the incoming softball bounces backward with a speed of 3.2m/s. Calculate the velocity of the target ball after the collision. Calculate the mass of the target ball A 930kg sports car collides into the rear end of a 2500kg SUV stopped at a red light. The bumpers lock, the brakes are locked, and the two cars skid forward 3.1m before stopping. The police officer, knowing that the coefficient of kinetic friction between tires and road is 0.80, calculates the speed of the sports car at impact. What was that speed? On a frictionless horizontal air table, puck A (with mass 0.255kg) is moving toward puck B (with mass 0.367kg), which is initially at rest. After the collision, puck A has velocity 0.125m/s to the left, and puck B has velocity 0.649m/s to the right. What was the speed vAi of puck A before the collision? Calculate ?K, the change in the total kinetic energy of the system that occurs during the collision.Explanation / Answer
Let:
m1 be the mass of the softball,
u1 be its initial velocity,
v1 be its velocity after collision,
m2 be the mass of the stationary ball,
v2 be its velocity after collision.
Conservation of momentum gives:
m1 u1 = m1 v1 + m2 v2
0.220 * 8.5 = - 0.220 * 3.7 + m2 v2 ...(1)
It may be deduced from energy considerations that:
v1 - v2 = - u1 ...(2)
- 3.7 - v2 = - 8.5
(a)
v2 = 4.8 m/s ...(3)
(b)
From (1) and (3):
m2 = 0.559 kg.
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