A boy of mass 61.0 kg is about to disembark from a canoe of mass 41.8 kg. The ca

Question

A boy of mass 61.0 kg is about to disembark from a canoe of mass 41.8kg. The canoe is initially at rest, with the bow just touching the dock (see figure). The center of the canoe is 3.0 m behind the bow. As the boy moves forward 6.0 m to the bow, the canoe moves away from the dock.

(a) How far is the boy from the dock when he reaches the bow?

(b) Is the canoe moving at this point? Assume that there is no friction between the canoe and the water.

Yes or No

A boy of mass 61.0 kg is about to disembark from a canoe of mass 41.8kg. The canoe is initially at rest, with the bow just touching the dock (see figure). The center of the canoe is 3.0 m behind the bow. As the boy moves forward 6.0 m to the bow, the canoe moves away from the dock.

Explanation / Answer

a)

xcm = (3*41.8+6*61)/(61+41.8) = 4.7802

4.7802 = (x*61+(3+x)*41.8)/(61+41.8)

===> x = 3.56 m

b)

No

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