# a child runs at 4.0 m/s and jumps onto a sled, initially at rest. If the child's mass is 36 kg, and if the child and sled slide off together at 3.0 m/s after the collision the sled's mass is

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a child runs at 4.0 m/s and jumps onto a sled, initially at rest. If the child's mass is 36 kg, and if the child and sled slide off together at 3.0 m/s after the collision the sled's mass is

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Step 1

The conservation of linear momentum can be applied to the system. The total momentum of the system before collision is the sum of initial momentum of child and the initial momentum of the sled. After collision, the system has the combined mass of the child and the sled and moves with a final speed.

Step 2

Since the sled is at rest before collision, its initial momentum is zero. Thus equation (1) can be solved for M as follows.

Step 3

Substitute 36kg for 1, 4.0m/s for v1, and 3.0m/s for v2 in equation (2) to fin...

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### Kinematics 