# A 74.9-kg person, running horizontally with a velocity of +3.66 m/s, jumps onto a 20.0-kg sled that is initially at rest. (a) Ignoring the effects of friction during the collision, find the velocity of the sled and person as they move away. (b) The sled and person coast 30.0 m on level snow before coming to rest. What is the coefficient of kinetic friction between the sled and the snow?

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A 74.9-kg person, running horizontally with a velocity of +3.66 m/s, jumps onto a 20.0-kg sled that is initially at rest. (a) Ignoring the effects of friction during the collision, find the velocity of the sled and person as they move away. (b) The sled and person coast 30.0 m on level snow before coming to rest. What is the coefficient of kinetic friction between the sled and the snow?

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Step 1

a.

According to the conservation of momentum, the total momentum after and before collision are remains conserved for a system on which no external force is acting. Here it can be expressed as,

So the velocity of the sled and person as they move away is 2.88 m/s.

Step 2

b.

The distance slided by the sled and person before coming rest is 30.0m.

Write the kinematic equation and solve for the deceleration caused by the frictional force.

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