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?

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Step-by-step explanation:

It is given that,

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

[tex]F\propto a[/tex]

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

[tex]81=k\times 9[/tex]......(1)

If the force is 63 N then,

[tex]63=k\times a_2[/tex]......(2)

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

[tex]a_2=7\ m/s^2[/tex]

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