A 81-kg fisherman in a 123-kg boat throws a package of mass m = 15 kg horizontal

Question

A 81-kg fisherman in a 123-kg boat throws a package of mass m = 15 kg horizontally toward the right with a speed of vi = 4.1 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 ??

 

A 81-kg fisherman in a 123-kg boat throws a package of mass m = 15 kg horizontally toward the right with a speed of vi = 4.1 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 ??

Explanation / Answer

Combined mass of boat and fisherman = 81+123 = 204 kg

Final momentum of package = mass*velocity= 15*4.1 = 61.5 kg m/s

Let v is velocity of boat and fisherman after throw.

By momentum conservation 204*v = 61.5

v = 0.301 m/s

Direction of the boat and fisherman will be opposite to direction of throw, that is boat will move left.

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