Question

For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of 72 N acts on a certain object, the acceleration of the object is 8 /ms2. If the force is changed to 27 N, what will be the acceleration of the object?

Answer 1

`\boxed{\rm{3 m/s²}}`

Explanation:

Initially a force of 72N is acting on the object and acceleration of the object is 8 m/s². From here we can calculate the mass of the object:

`\boxed{ \rm{mass = (force)/(accleration) }}`

=> mass of object = 72 N / 8 m/s²

=> mass of object = 9 kg

We know mass doesn't change (assuming it's a constant mass system), a different force will change the acceleration of the object.

Now a force of 27 N is acting on the object, mass is 9kg, then acceleration of the object will be:

=> acceleration = Force / mass

=> acceleration = 27 N / 9 kg

=> acceleration = 3 m/s²

`\therefore` The new acceleration of the object is 3m/s²