Question

if the mass of the body is tripled and its velocity become doubled then linear momentum of the body will be

remain same
become 4 times
become double
become six times
​

Answer 1

Explanation:

Kinetic energy of a body of given mass, is directly proportiional to its square of its velocity. When momentum is doubled, mass remaining constant, this means velcity is doubled. Hence, kinetic energy becomes 22=4 times. say from 100 units to 400 units. and percentage increase in kinetic energy is 400−100=300% .

Answer 2

Here we have given that the mass of the body is tripled and velocity id doubles.

We have to find how the linear momentum changes

Now, we know the formula of linear momentum

$Linear momentum = mass\times velocity$

Let the initial mass and velocity be m1 and v1 respectively

So, initial momentum, L1 = m1 × v1

Now, according to the question

New mass, m2 = 3m1

New velocity, v2 = 2v1

New momentum, L2= m2 × v2

                            = 3m1 × 2v1

                             = 6× m1 × v1

                              =6 × L1

So, the momentum becomes six times the initial momentum.

Therefore, the correct option will be , become six times.