A child\'s sled has rails that slide with little friction across the snow. Logan

Question

A child's sled has rails that slide with little friction across the snow. Logan has an old wooden sled with heavy iron rails that has a mass of 11kg quite a bit for a 31kg child! Logan runs at 4.2m/s and leaps onto the stationary sled and holds on tight as it slides forward. The impact time with the sled is 0.24s .


Immediately after Logan jumps on the sled, how fast is it moving?

What was the force on the sled during the impact?

How much energy was "lost" in the impact?

Where did this energy go?

Explanation / Answer

Conservation of momentum 31 * 4.2 = (31 + 11 ) * (V_sled) V = 31 * 4.2 / 42 Force . time = change in momentum of the sled F * 0.27 = 11 * 31 * 4.2 / 42 F = 11 * 31 * 4.2 / 42 * 0.24 Energy "lost" is (0.5 * 31 * 4.2^2 ) - ( 0.5 * 42 * ( 31 * 4.2 / 42 )^2 ) Just calculate the equations. Please Rate!

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