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CBSE Class 10 Answered

A man weighing 80 kg is standing in a trolley weighing 320 kg. The trolley is resting on frictionless horizontal rails. If the man starts walking on the trolley with a speed of 1m/s, then after 4 second his displacement relative to the ground will be :- a)5 m. b)4.8 m c)3.2m d)3 m
Asked by acv27joy | 25 May, 2018, 10:12: PM
answered-by-expert Expert Answer
To conserve the momentum, trolly will move in the direction opposite to man's movement.
 
let trollys velocity is v and its mass is m. Let man's velocity is V and his mass is M, then we have
 
m×v = -(M+m)×V..................(1)
 
we have m = 320 kg, M=80 kg, V=1m/s
 
by substituting this values in (1), we get v = -0.2 m/s.
 
Since man has moved for 4 s, distance moved by troly -0.2×4 = -0.8 m
 
man has moved 4 m but trolly has moved 1 m in opposite direction.
 
hence displacement of man with respect to ground is 4-0.8 = 3.2 m
Answered by Thiyagarajan K | 26 May, 2018, 09:45: AM
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