Two cars glide without friction along a level air track. Before collision: Car 1 has mass...
Two cars glide without friction along a level air track.
Before collision:
Car 1 has mass 294 g and velocity 2.75 m/s to the right.
Car 2 has mass 264 g and is at rest.
After a perfectly elastic collision, find the final velocity of Car 2 where right is positive.
Homework Answers
Take right direction as positive and left as negative.
using conservation of momentum
m1v1i + m2v2i = m1v1f + m2v2f
as car 2 was initially at rest, v2i = 0
the equations which will give us final velocity of car 1 is
v1f = ( m1 - m2) * v1i / m1 + m2
v1f = (0.294 - 0.264 / 0.294 + 0.264 ) * 2.75
v1f = 0.1478 m/s
similarly,
v2f = (2m1 / m1 + m2 )v1i
v2f = 2.897 m/s
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