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
50g 2 m/s = 100 gm/s
100g 1m/s = 100 gm/s.
They both have the same momentum.
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
\(p_1=0.05\ kg\times 2\ m/s\)
\(p_1=0.1\ kg\ m/s\)
Momentum of ball 2, p₂ = m₂v₂
\(p_2=0.1\ kg\times 1\ m/s\)
\(p_1=0.1\ kg\ m/s\)
So, it is clear that the momentum of both the balls are same.
Hence, this is the required solution.