Answer
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Hint – As the body is in circular motion, so the centripetal force, i.e., $\dfrac{{m{v^2}}}{r}$ is directed towards the centre and at every point it is perpendicular to the displacement. Keep this point in mind to solve the question.
Formula used - $W = FS\cos \theta $
Complete step-by-step answer:
We have been given that a body of mass m is moving with a speed v in a circle of radius r.
As, we know when a body moves in a circular path then centripetal force acts on it which is given by $\dfrac{{m{v^2}}}{r}$
This centripetal force is perpendicular to the displacement of the body at every point.
So, as we know the work done is given by $W = FS\cos \theta $ , where F is the force acting on the body and S is the displacement and theta is the angle between them and W is the work done.
Now, here as mentioned above the angle between the centripetal force and the displacement is 90 degrees.
Keeping the value of theta, we get-
$
W = FS\cos {90^ \circ } \\
\Rightarrow W = 0\{ \because \cos {90^ \circ } = 0\} \\
$
Therefore, the work done is Zero.
Hence, the correct option is B.
Note – Whenever such types of questions appear, then first write all the things given in the question and then by using the formula, $W = FS\cos \theta $ and also by knowing the angle between the force and displacement find the work done. In this case the work done is zero, as the force is perpendicular to displacement.
Formula used - $W = FS\cos \theta $
Complete step-by-step answer:
We have been given that a body of mass m is moving with a speed v in a circle of radius r.
As, we know when a body moves in a circular path then centripetal force acts on it which is given by $\dfrac{{m{v^2}}}{r}$
This centripetal force is perpendicular to the displacement of the body at every point.
So, as we know the work done is given by $W = FS\cos \theta $ , where F is the force acting on the body and S is the displacement and theta is the angle between them and W is the work done.
Now, here as mentioned above the angle between the centripetal force and the displacement is 90 degrees.
Keeping the value of theta, we get-
$
W = FS\cos {90^ \circ } \\
\Rightarrow W = 0\{ \because \cos {90^ \circ } = 0\} \\
$
Therefore, the work done is Zero.
Hence, the correct option is B.
Note – Whenever such types of questions appear, then first write all the things given in the question and then by using the formula, $W = FS\cos \theta $ and also by knowing the angle between the force and displacement find the work done. In this case the work done is zero, as the force is perpendicular to displacement.
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