Is it possible that a body be in accelerated motion under a force acting on the body yet no work is being done by the force ? Explain your answer giving a suitable example
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yes , it is possible.
as you know, workdone is the dot product of force applied on body and displacement of body.
e.g., W=\vec{F}.\vec{S}W=
F
.
S
or, W=FScos\thetaW=FScosθ
where, \thetaθ is angle between force and displacement.
in this equation, it is clear that workdone will be zero when
1. F = 0, S = 0
2. F = 0 , S ≠ 0
3. F ≠ 0, S = 0
4. F ≠ 0, S ≠ 0 but \theta=90^{\circ}θ=90
∘
hence, there are two possible conditions 3. F ≠ 0 , S = 0 and 4.F ≠ 0, S ≠ 0 but \theta=90^{\circ}θ=90
∘
where a body to be in accelerated motion under a force acting on body , yet no work is being done by the force.
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