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Machine Kinematics Questions and Answers – Loss of Kinetic Energy During Elastic Impact

(1) A sphere of mass 25 Kg is moving at a speed of 1.5 m/s undergoes collision with another sphere of mass 50 Kg moving at 3m/s in the same direction, find the loss of kinetic energy when the collision is inelastic.
[A] 18.75 N-m
[B] 19.75 N-m
[C] 17.75 N-m
[D] 16.75 N-m
Answer: 18.75 N-m
(2) The coefficient of restitution is 0 for a completely inelastic collision.
[A] True
[B] False
Answer: True

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(3) A sphere of mass 25 Kg is moving at a speed of 1.5 m/s undergoes collision with another sphere of mass 50 Kg moving at 3m/s in the same direction, find the loss of kinetic energy when the collision is inelastic with e = 0.6.
[A] 18.75 N-m
[B] 12.00 N-m
[C] 13.75 N-m
[D] 12.75 N-m
Answer: 12.00 N-m
(4) A sphere of mass 25 Kg is moving at a speed of 1.5 m/s undergoes collision with another sphere of mass 50 Kg moving at 3m/s in the same direction, find the common velocity in m/s after collision when the collision is completely inelastic.
[A] 2.5
[B] 9.75
[C] 7.25
[D] 6.75
Answer: 2.5
(5) A sphere of mass 25 Kg is moving at a speed of 1.5 m/s undergoes collision with another sphere of mass 50 Kg moving at 3m/s in the same direction, find the velocity of 50 Kg mass in m/s after collision when the collision is elastic.
[A] 2.5
[B] 2.00
[C] 7.25
[D] 6.75
Answer: 2.00
(6) Coefficient of restitution of elastic bodies is ______
[A] One
[B] More than one
[C] Between 0 and one
[D] Zero
Answer: One
(7) Kinetic energy before collision is always equal to the kinetic energy after collision.
[A] True
[B] False
Answer: False
(8) Which of the following cases has the greatest loss in Kinetic energy?
[A] e=0
[B] e=1/2
[C] e=1/4
[D] e=1
Answer: e=0
(9) A sphere of mass 25 Kg is moving at a speed of 1.5 m/s undergoes collision with another sphere of mass 50 Kg moving at 3m/s in the same direction, find the velocity of 25 Kg mass in m/s after collision when the collision is elastic.
[A] 2.5
[B] 2.00
[C] 3.5
[D] 6.75
Answer: 3.5
(10) A sphere of mass 25 Kg is moving at a speed of 1.5 m/s undergoes collision with another sphere of mass 50 Kg moving at 3m/s in the same direction, find the velocity of 25 Kg mass in m/s after collision when the collision is inelastic with e = 0.6.
[A] 2.5
[B] 2.00
[C] 3.5
[D] 3.1
Answer: 3.1

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