Question

)What will be the percentage change in momentum of

a body when both its mass and velocity is doubled?

a) 400

b) 75

c) 500

d) 300​

Answer 1

Answer :

Let body of mass m is moving at a velocity of v.

We have to find percentage change in momentum if its mass and velocity are doubled$.$

★ Momentum is measured as the product of mass and velocity.

It is a vector quantity having both magnitude as well as direction.

SI unit : kg m/s

★ Initial momentum :

→ p = m v

★ Final momentum :

→ p' = m' v'

→ p' = (2m)(2v)

→ p' = 4mv

★ Percentage change in momentum :

→ ∆ = [ (p' - p) / p ] × 100

→ ∆ = [ (4mv - mv) / mv ] × 100

→ ∆ = 3mv/mv × 100

→ ∆ = 300%

∴ (D) is the correct answer!