A boy of mass 36 kg moves from one end to other end of a boat of mass 72 kg on still water. If the length of the boat is 2.7m, the displacement of the boat is
(A) 2.7 m
(B) 1.35m
(C) 5.4m
(D) 0.9m
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Given :-
- A boy of mass 36 kg moves from one end up to other end of a boat of mass 72 kg on still water length of the boat is 2.7m
To Find :-
- the displacement of the boat
- (A) 2.7 m
- (B) 1.35m
- (C) 5.4m
- (D) 0.9m
Solution:-
- (M + m)d = m.L
- => d = m . L / ( M + m)
- m = mass of man = 36 kg
- L = length of boat ( distance covered by Man) = 2.7 m
- M = Mass of Boat = 72 kg
- d = displacement of boat
- => d = 36 ( 2.7) / (72 + 36)
- => d = 36 ( 2.7) /108
- => d = 2.7/3
- => d = 0.9 m
the displacement of the boat is 0.9 m
=> option D is correct
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