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.
