Question

Two ball A and B have equal masses but their velocities are V and 2V. what is the momentum of A to that of B

Answer 1

momentum = mv
since, mass is same

So, momentum of A = m×V
and Momentum of B = m×2V

Momentum of A to that of B = (mV)/(2mV)
                                                = 1/2

Answer 2

Momentum ( P ) = Mass × Velocity
                            = MV

Since here we have 2 bodies,
Let the momentum of the first body be P₁ = M₁V₁ ----- (1)
     The momentum of the second body be P₂ = M₂V₂ ----- (2)

Since the masses are same,
M₁ = M₂ = M
∴  (1) & (2) becomes,
p₁ = MV₁ 
   &
P₂ = MV₂

And given that,
Velocity of 1st body = V 
   &
Velocity of 2nd body = 2V
Substituting this,

P₁ = MV
    & 
P₂ =M×2V

P₁/P₂ = MV/2MV

         = 1/2 //