Coming to the bottom of a mountain, a skier moving with speed v collides with a

Question

Coming to the bottom of a mountain, a skier moving with speed v collides with a barrier and is brought to a stop in an amount of time t. Over the course of the impact, the skier experienced an average net force F from the barrier. If the skier's initial velocity had been the same (v), but the time of impact to come to a full stop had been one- fourth as long (t/4), what would have been the average net force exerted on the skier during the collision? The average net force would have been... If the time of impact to come to a full stop had been the same (t), but the skier's initial velocity had been one- fourth as much (v/4), what would have been the average net force exerted on the skier during the collision? The average net force would have been...

Explanation / Answer

impulse =change in momentum

for first part

change in velocity=mv

time =t

force is F

Ft=mv

but if t=t/4

F'*t/4=mv

F'=4mv/t=4F

so force will be 4F

if initial velocity would have been v/4

change in momentum=mv/4

F't=mv/4

F'=mv/4t=F/4

so now force would have been F/4

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