A force `F=50N` is applied at one end of a string, the other end of which is tied to a block of mass `10kg`. The block is free to move on a frictionless horizontal surface. Take initial instant as `theta=30^@` and final instant as `theta=37^@`. For the time between these two instants, answer teh following questions?

Find the ratio of initial acceleration to final acceleration of the block

Options

A. (a) `(3sqrt5)/(8)`
B. (b) `(8sqrt3)/(5)`
C. (c) `(8sqrt5)/(3)`
D. (d) `(5sqrt3)/(8)`

Answer

D

Explanation

Initial acceleration `=(F cos 30^@)/(m)`
Final acceleration `=(F cos 37^@)/(m)`
Ratio `=(cos 30^@)/(cos 37^@)=(sqrt3xx5)/(2xx4)=(5sqrt3)/(8)`