The ratio between the centripetal force of body in (A) to that in (B) is.?

two bodies of the same mass in two different orbits (A) and (B) . if the radius of orbit (A) is double that of orbit (B) and the velocity of of the body in orbit (A) is double that of the body in orbit (B), the ratio between the centripetal force of body in (A) to that in (B) is....

1 Answer
Apr 3, 2018

F_A : F_B = 2:1

Explanation:

The centipretal force is given by

F =( mv^2)/r

Since m_A = m_B, r_A = 2r_B and v_A = 2v_B, we have

F_A/F_B = m_A/m_B v_A^2/v_B^2 r_B/r_A = 1 times 2^2 times 1/2 = 2