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Question

Which of the following are correct?

A
A body of weight 1 N has potential energy of 1 J relative to the ground when it is at a height of 1 m.
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B
A 1 kg body has a kinetic energy of 1 J when its velocity is 2 ms1.
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C
Instantaneous power due to force F is F.v.
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D
When a force retards the motion of a body, the work done is negative.
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Solution

The correct options are
A A body of weight 1 N has potential energy of 1 J relative to the ground when it is at a height of 1 m.
B A 1 kg body has a kinetic energy of 1 J when its velocity is 2 ms1.
C Instantaneous power due to force F is F.v.
D When a force retards the motion of a body, the work done is negative.
a) Potential energy at height h is U=mgh=1×1=1 Joule

b) K.E.=12mv2=12×1×(2)2=1 J

c) Formula for instantaneous power isP=F.v

d) W=Fd cos(θ)
When force retards angle between force and displacement is obtuse so cosθ,W are negative.

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