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# A Person Applies Constant Force $\Overrightarrow{F}$On a Particle of Mass M And Finds that the Particle Moves in a Circle of Radius R With a Uniform Speed V As Seen - Physics

ConceptDynamics of Uniform Circular Motion - Centripetal Force

#### Question

A person applies constant force $\overrightarrow{\text{F}}$on a particle of 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.

(a) This is not possible.
(b) There are other forces on the particle.
(c) The resultant of the other forces is $\frac{\text{mv}^2}{\text{r}}$ towards the centre.

d) The resultant of the other forces varies in magnitude as well as in direction

#### Solution

(b) There are other forces on the particle.
(d) The resultant of the other forces varies in magnitude as well as in direction.

We cannot move a particle in a circle by just applying a constant force. So, there are other forces on the particle.
As a constant force cannot move a particle in a circle, the resultant of other forces varies in magnitude as well as in direction (because$\overrightarrow{\text{F}}$ is constant).

Is there an error in this question or solution?

#### APPEARS IN

Solution A Person Applies Constant Force $\Overrightarrow{F}$On a Particle of Mass M And Finds that the Particle Moves in a Circle of Radius R With a Uniform Speed V As Seen Concept: Dynamics of Uniform Circular Motion - Centripetal Force.
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