A person applies a constant force ¯¯¯¯F on the particle of the mass m and finds that the particle moves in a circle of radius r with a uniform speed v as seen from an inertial frame of reference. Mark the true statements from the following.
A
This is not possible.
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B
There are no other forces on the particle.
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C
The resultant of the other force is mv2r towards the centre.
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D
The resultant of the other force varies in magnitude as well as in direction.
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Solution
The correct option is D The resultant of the other force varies in magnitude as well as in direction. Answer is only (D).
As, the ¯F is constant so, its magnitude and direction are also constant. Thus to make the particle move in a circle with uniform speed some other forces with varying magnitude and direction are required.