Question

if the mass of a body is doubled and it's velocity becomes v/4 then the linear momentum of the body will​
a) becomes half
b) remains same
c) becomes four times
d) becomes double​

Answer 1

Let, initial mass = m

Initial velocity = v

We know,

$\boxed{\vec{p} = m \vec{v}}$

So, p′ = mv

As per question,

Final mass = 2m

Final velocity = v/4

∴ p″ = (2m)(v/4)

⇒ p″ = ½ mv

So, the linear momentum becomes half (a).

Answer 2

Answer:

a. becomes half

Explanation:

As we know Linear momentum=mass*velocity

According to the case

linear momentum= 2m*1/4 V

Therefore Linear momentum becomes 2/4 mv

mv=linear momentum in the initial case

Hence Linear momentum becomes half in the 2nd case