Two toboggans (with riders) of the same mass are at rest on top of a steep hill.

Question

Two toboggans (with riders) of the same mass are at rest on top of a steep hill. As they slide down the hill, toboggan A takes a straight path down the slope while toboggan 8 winds back and forth along a more gently sloping path. Toboggan A makes the trip in half the time of toboggan B HINT Recall that the work done by gravity is wg--(Ay). Click the hint button again to remove this hint (a) Compare the work done by gravity on each toboggan. (b) Compare the average power delivered by gravity on the two toboggans

Explanation / Answer

here,

a)

as both toboggans covers the same height

the work done by gravity is same on both

so, WA /Wb = 1

b)

time taken by B , tB = 2 * tA

the average power delivered by gravity on the two toboggans , PA /PB = ( WA /tA) /( WB /tB)

PA /PB = ( tB /tA)

PA /PB = 2

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