Question

Which statement is true about an object moving in a circular motion due to centripetal force, F, when the mass is doubled?

A. Its centripetal force would be doubled.
B. Its centripetal force would be unaltered.
C. Its centripetal force would be reduced by half.
D. Its centripetal force would be reduced by a factor of 1/4

Answer 1

A: Its centripetal force would be doubled.

Step-by-step explanation:

Plato

Answer 2

Ans) A) Centripetal force will be doubled.

See centripetal force F = mv^2/r

That means centripetal force is directly proportional to the mass of the particle

So, if we double the mass, centripetal force will be increased by twofolds.

So, option A) is correct.

Now, looking at the other options,

B) says centripetal force is unaltered which is incorrect as centripetal force has been altered and increased twofold.

Option C) and D) reduces centripetal force which are also not possible here.

So, only Option A) is correct