Question

k1 = k2

m1=9m^2

P1=P2

What is the relationship between P1 and P2?

The momentum will be the same?

K represents kinetic energy

Answer 1

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Here given that K₁=K₂ where K denotes Kinetic Energy

And M₁=9M₂

Now we want to know the relationship between P₁ and P₂ where P denotes the momentum of two bodies.

Let us assume that v₁ and v₂ is the velocity of bodies having mass M₁ and M₂ respectively.

Then Kinetic Energy will be

1/2 M₁ (v₁)² = 1/2 M₂ (v₂)²

1/2 ×9M₂(v₁)² = 1/2 M₂ (v₂)²

(v₁/v₂)²=(1/9)

v₁/v₂ = 1/3

3v₁ = v₂

Thus, Momentum will be

P₁ = M₁ × v₁

P₁ = 9M₂ × (v₂/3) = 3 M₂ × v₂ = 3 P₂

Thus relationship between the momentum is P₁ = 3P₂

So, the two momentum are not same.