Question

For a body moving in a circular path the work done by the centripetal force is? (A) negative (b) positive (c) constant (d) zero

Answer 1

$\huge\mathbb\pink{question}$

For a body moving in a circular path the work done by the centripetal force is?

(A) negative

(b) positive

(c) constant

$\huge\mathcal\orange{d \: Zero}$

$\huge\mathbf\purple{Answer}$

The work done by a force in

moving a body is W= F. s

where s is the displacement vector.

In a circular path, the force is centripetal, thus always acting towards the center along the radial direction.

However the displacement is always along tangent to the circle at the instantaneous position of object.

Thus ,

$\huge\mathtt\green{W \: = \: F. \: S .}$

$\huge\mathit\red{= 0 }$

Hope it's helpful for you .

Answer 2

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The work done by a force in

moving a body is W= F. s

where s is the displacement vector.

In a circular path, the force is centripetal, thus always acting towards the center along the radial direction.

However the displacement is always along tangent to the circle at the instantaneous position of object.

Thus ,

\huge\mathtt\green{W \: = \: F. \: S .}W=F.S.

\huge\mathit\red{= 0 }=0