8- A girl of mass 35 kg site on trolley of mas 5kg.initial velocity of trolley is im/s Come to rest after travelling 16m.find work done on trolley.come to meet after thavelling 16 m
(a) work done ou trolley
(b) work done by girl
Answers
Answer:
Given:
Mass of girl = 35 kg
Mass of trolley = 5 kg
Total mass, m = (35 + 5) = 40 kg
u = 4 m/s
v = 0
s = 16 m
By equation,
v 2 = u 2 + 2as
0 = (4)2 + 2a (16)
32a = –16
a = –0.5 m/s2
Force exerted on trolley,
F = ma
= 40 × 0.5 = 20 N
Work done on trolley W = FS = 20 N x 16 m
= 320 J
Work done by the girl, W = FS
= mass of girl × retardation × S
= 35 × 0.5 × 16
= 280 J
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ANSWER
mass of girl m=35kg
mass of trolley=5kg
total mass=40kg
initial velocity of trolley u=4ms
−1
final velocity of trolley v=0ms
−1
distance s=16m
we know,
v
2
−u
2
=2as
a=
2s
v
2
−u
2
=−
2×16
16
a=−
2
1
ms
−2
Force=ma=40×(−0.5)
=-20N
work is done on the trolley=20N×16m=320 J.
work was done by the girl =0 J.