The figure below shows a man in a rowboat on a lake. The man's mass is 73 kg, and the rowboat's is 113 kg. The man and rowboat are initially at rest when the man throws a package of mass m = 15 kghorizontally to the right with a speed of vi = 4.8 m/s.What is the velocity of the rowboat after the package is thrown? Neglect any resistance force from the water. (Give the magnitude in m/s, and select the correct direction from the options given.)magnitudem/sdirection

Question
Asked Nov 6, 2019

The figure below shows a man in a rowboat on a lake. The man's mass is 73 kg, and the rowboat's is 113 kg. The man and rowboat are initially at rest when the man throws a package of mass
m = 15 kg
horizontally to the right with a speed of
vi = 4.8 m/s.
What is the velocity of the rowboat after the package is thrown? Neglect any resistance force from the water. (Give the magnitude in m/s, and select the correct direction from the options given.)


magnitude
m/s
direction

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Expert Answer

Step 1

Given values:

Mass of the man, m1 = 73 kg

Mass of the rowboat, m2 = 113 kg

Mass of the package, m = 15 kg

Speed of the package, vi = 4.8 m/s

Le the velocity of the package be V

Step 2

From the conservation of momentum:

 Total in...

%- (т, + т,)ү
15x 4.8 (73+113)V
(т, +m,)x0+m,
V 0.387 m/s (Direction is horizontally to the left)
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%- (т, + т,)ү 15x 4.8 (73+113)V (т, +m,)x0+m, V 0.387 m/s (Direction is horizontally to the left)

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