Question

A 50-g ball rolls across a table at 2 m/s. A 100-g ball rolls across the same table at 1 m/s. Which ball has more momentum

Answer 1

50g * 2 m/s = 100 gm/s

100g * 1m/s = 100 gm/s.

They both have the same momentum.

Answer 2

Answer : Both balls have same momentum.

Explanation :

Mass of ball 1, m₁ = 50 g = 0.05 kg

Velocity of ball 1, v₁ = 2 m/s

Mass of ball 2, m₂ = 100 g = 0.1 kg

Velocity of ball 2, v₂ = 1 m/s

The momentum of an object is the product of the mass and the velocity.

Momentum of ball 1, p₁ = m₁v₁

`p_1=0.05\ kg* 2\ m/s`

`p_1=0.1\ kg\ m/s`

Momentum of ball 2, p₂ = m₂v₂

`p_2=0.1\ kg* 1\ m/s`

`p_1=0.1\ kg\ m/s`

So, it is clear that the momentum of both the balls are same.

Hence, this is the required solution.