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A 80-kg fisherman in a 121-kg boat throws a package of mass m = 15 kg horizontal

ID: 1292053 • Letter: A

Question

A 80-kg fisherman in a 121-kg boat throws a package of mass

m = 15 kg

horizontally toward the right with a speed of

vi = 4.9 m/s

as in the figure below. Neglecting water resistance, and assuming the boat is at rest before the package is thrown, find the velocity of the boat after the package is thrown.

magnitude     m/s direction     ---Select--- toward the right toward the left upwards downwards A 80-kg fisherman in a 121-kg boat throws a package of mass m = 15 kg horizontally toward the right with a speed of vi = 4.9 m/s as in the figure below. Neglecting water resistance, and assuming the boat is at rest before the package is thrown, find the velocity of the boat after the package is thrown. magnitude m/s direction ---Select--- toward the right toward the left upwards downwards

Explanation / Answer


from law of conservation of momentum

momentum before throws = momentum after throws...

0 = (m+M)*v + (mp*vf)...

mp*vf = -(m+M)*v...

v = -(mp*vf)/(m+M)....

v = -(15*4.9)/(80+121) = -0.365 m/sec toward the left

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