Question

If the mass of a body is doubled and its velocity becomes half,then the linear momentum of the body will________. ​

Answer 1

Given,

Mass of a body is doubled and velocity is halved.

To find,

Change in linear momentum.

Solution,

Here, we will calculate the values of initial momentum and final momentum. The comparison of the values of initial and final momentum will give us the required answer.

Now,

Momentum = Mass × Velocity

Let,

Initial mass = m kg

Initial velocity = v m/s

Initial momentum = m × v = mv kg.m/s

And,

Final mass = 2×m = 2m kg

Final velocity = (v/2) m/s

Final momentum = 2m × v/2 = mv kg.m/s

Here,

Initial momentum = Final momentum

So, the linear momentum will remain the same.

Hence, if the mass of a body is doubled and its velocity becomes half,then the linear momentum of the body will remain same.