Question

Two bodies of mass are in the ratio 1:2 and velocities are in the ratio 2:1, then the momentum of the bodies are in the ratio

Answer 1

Answer:

1:1

Explanation:

let mass of object a be x

and mass of object b be 2x

velocity of object a be 2y

velocity of object b be y

momentum=v×m

∴ lm(momentum) of object a = 2y × x = 2xy

and lm of object b = y × 2x = 2xy

ratio between them is

2xy/2xy = 1:1

Answer 2

Answer:

1:1

Explanation: Let the masses and velocities of bodies 1 and 2 be multiplied by x and y respectively. So the mass ratio = x:2x

velocity ratio = 2y:y

Momentum= mass x velocity

Therefore, multiplying mass and velocity if body 1 =

2xy and multiplying mass and velocity of body 2 =

2xy. Therefore their ratio = 2xy:2xy = 1:1