Question

For a moving object, the force acting on the object varies directly with the objects acceleration. When the force of 81 N acts in a certain object, the acceleration of the object is 9/ms^2. If the force is changed to 63N. What will be the acceleration of the object?

Answer 1

Check this attachment

Answer 2

Explanation:

It is given that,

For a moving object, the force acting on the object varies directly with the objects acceleration.

`F\propto a`

When the force of 81 N acts in a certain object, the acceleration of the object is 9/ms^2.

`81=k* 9`......(1)

If the force is 63 N then,

`63=k* a_2`......(2)

On solving equation (1) and (2), we get :

`a_2=7\ m/s^2`

So, the acceleration of the object is
`7\ m/s^2` when the force acting on it is 63 N. Hence, this is the required solution.