3. A man holding a rock sits on a sled that is sliding across a frozen lake (neg

Question

3. A man holding a rock sits on a sled that is sliding across a frozen lake (negligible friction) with a speed of 0.520 m/s. The total mass of the sled, man, and rock is 96.0 kg. The mass of the rock is 0.250 kg and the man can throw it with a speed of 15.5 m/s. Both speeds are relative to the ground. Determine the speed of the sled if the man throws the rock forward (i.e. in the direction the sled is moving).

_________________m/s

Determine the speed of the sled if the man throws the rock directly backward.

________________m/s

Explanation / Answer

initial momentum = 96 x 0.52 = 49.92 kgm/s

now applying momentum conservation,

a) 49.92 = (0.25 x 15.5) + (95.75 x v)

v = 0.4809 m/s

b) 49.92 = (-15.5 x 0.25) + (95.75 x v)

v = 0.5618 m/s

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