Question

At what velocity would a 5.0 kg dog have to run to have the same

Answer 1

Answer:

The velocity with which the 5.0 kg dog has to run to have the same momentum as the 30 kg pig walking at 3.0 m/s is 18 m/s

Explanation:

Given that the mass of the dog = 5.0 kg

The mass of the pig = 30 kg

The speed with which the pig is walking = 3.0 m/s

We have that linear momentum = Mass × Velocity

Therefore, the momentum of the pig, m₁ = 30 kg × 3.0 m/s = 90 kg·m/s

m₁ = 90 kg·m/s

The momentum of the dog m₂ = Mass of the dog × Velocity of the dog

Given that m₁ is to be equal to m₂, we have;

m₁ = 90 kg·m/s = m₂ = Mass of the dog × Velocity of the dog

90 kg·m/s = m₂ = 5.0 kg × Velocity of the dog

m₂ = 5.0 kg × Velocity of the dog = 90 kg·m/s

5.0 kg × Velocity of the dog = 90 kg·m/s

Velocity of the dog = 90 kg·m/s/(5.0 kg) = 18 m/s

The velocity with which the 5.0 kg dog has to run to have the same momentum as the 30 kg pig walking at 3.0 m/s = 18 m/s.