Answer to Question #251531 in Physics for Kay

Question #251531

A man with a mass of 90 kg is skiing at a speed of 20 m.s-1 when he reaches the 

bottom of a 20 m slope. He goes up the slope without exerting any other forces to 

help him. Ignore friction. Will he reach the top of the slope? Show all calculations.


1
Expert's answer
2021-10-15T10:23:57-0400

The law of conservation of energy gives

mv022=mgh\frac{mv_0^2}{2}=mgh

So

h=v022g=20229.8=20.4mh=\frac{v_0^2}{2g}=\frac{20^2}{2*9.8}=20.4\:\rm m

Since h>20  mh>20 \;\rm m, so the man will reach the top of the slope.


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