Question

If the same net force acts on an object, what happens to its acceleration as its mass increases?

Answer 1

The acceleration of an object depends directly upon the net force acting upon the object, and inversely upon the mass of the object. As the force acting upon an object is increased, the acceleration of the object is increased. As the mass of an object is increased, the acceleration of the object is decreased.

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Answer 2

The acceleration decreases as its mass increases as the same net force acts on an object.

Solution: According to Newton's second law of motion:

" A body acted upon by a force moves in such a manner that the time rate of change of momentum equals the force. "

Momentum of a body is equal to the mass of the body and its velocity.

Let the mass be m and velocity be v.

Momentum = m × v

Now, according to the law, rate of change of momentum equal force.

Therefore,

Force = m (v/t) where t is time

= m × acceleration

Therefore, Force = Mass × Acceleration

Here, both mass and acceleration is directly proportional to the force. To keep the value of net force constant, if one of them increases the other has to decrease by the same ratio.

Since here mass increases, the acceleration has to decrease by the same ratio to keep the value of force constant.