The momentum of the 155 kg car afterwards is 469.7 kg m/s to the right
Explanation:
We can solve the problem by using the law of conservation of momentum: the total momentum of the system is conserved before and after the collision, so we can write:
where:
is the mass of the bumper car
is the initial velocity of the bumper car (we take the right as positive direction)
is the final velocity of the bumper car
is the mass of the second bumper car
is the initial velocity of the second car (moving to the left)
is the final velocity of the second car
Solving for
,
where the positive sign means the direction is to the right.
And now we can find the momentum of the 155 kg afterwards, which is
(to the right)
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