A stationary sledge of mass 4kg is acted on by a force of 10N for 4s.Calculate the gain of (a) momentum (b)energy of the sledge
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Answer:
Momentum=mass×velocity
p=mu=u=
m
p
=
4 kg
8 kg ms
−1
=2 ms
−1
Acceleration=
Mass
Force
⇒a=
4 kg
0.2 N
=0.05 ms
−2
Distance travelled by the body in 10 s is
d=ut+
2
1
at
2
=(2 ms
−1
)(10s)+
2
1
×(0.050 ms
−2
)(10s)
2
=20 m+2.5 m=22.5 m
Work done, W=Fd=(0.2 N)(22.5 m)=4.5 J
According to work-energy theorem
Increasing in kinetic energy =Work done=4.5 J.
Explanation:
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