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Exercise:
A pq.kg croquet ball makes an elastic head-on collision with a second ball initially at rest. The second ball moves off with half the original speed of the first ball. abcliste abc What is the mass of the second ball? abc What fraction of the original kinetic energy gets transferred to the second ball? abcliste

Solution:
abcliste abc The initial set of data is m_ pq.kg v_ v_' fracv_. With the formula for the velocity of the second ball after the collision we get v_' fracm_-m_v_ + m_v_m_+m_ fracm_v_m_+m_ &mustbe fracv_. This is equal to fracm_v_m_+m_ fracv_ fracm_m_+m_ frac fracm_+m_ fracm_ m_+m_ m_ m_ m_ pq.kg. abc The original kinetic energy is Ekin fracm_v_^ pq.kg v_^. The kinetic energy of the second ball after the collision is Ekin' fracm_v_'^ pq.kg v_'^ pq.kg leftfracv_right^ pq.kg v_^ The ratio of the two is fracEkin'Ekin frac.. . %. abcliste
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Exercise:
A pq.kg croquet ball makes an elastic head-on collision with a second ball initially at rest. The second ball moves off with half the original speed of the first ball. abcliste abc What is the mass of the second ball? abc What fraction of the original kinetic energy gets transferred to the second ball? abcliste

Solution:
abcliste abc The initial set of data is m_ pq.kg v_ v_' fracv_. With the formula for the velocity of the second ball after the collision we get v_' fracm_-m_v_ + m_v_m_+m_ fracm_v_m_+m_ &mustbe fracv_. This is equal to fracm_v_m_+m_ fracv_ fracm_m_+m_ frac fracm_+m_ fracm_ m_+m_ m_ m_ m_ pq.kg. abc The original kinetic energy is Ekin fracm_v_^ pq.kg v_^. The kinetic energy of the second ball after the collision is Ekin' fracm_v_'^ pq.kg v_'^ pq.kg leftfracv_right^ pq.kg v_^ The ratio of the two is fracEkin'Ekin frac.. . %. abcliste
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Attributes & Decorations
Branches
Momentum
Tags
collision, elastic, linear, mechanics, momentum, physics
Difficulty
(3, default)
Points
4 (default)
Language
ENG (English)
Type
Calculative / Quantity
Decoration
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