Answer :
To find the momentum of the cart in the first problem, you need to calculate the total momentum by adding the individual momenta of the cart and the bricks.
1. Momentum of the cart:
Momentum = mass * velocity
Momentum = 3.5 kg * 2.0 m/s
Momentum = 7.0 kg m/s
Momentum of the three bricks:
Momentum = 3 * (0.5 kg * 2.0 m/s) (since each brick has the same mass and velocity)
Momentum = 3 * 1.0 kg m/s
Momentum = 3.0 kg m/s
Total momentum = Momentum of the cart + Momentum of the bricks
Total momentum = 7.0 kg m/s + 3.0 kg m/s
Total momentum = 10.0 kg m/s
Therefore, the total momentum of the cart with the bricks is 10.0 kg m/s.
Moving on to the second problem, you are given the momentum and velocity of the skateboard and asked to find its mass.
2. Given momentum = 6.0 kg m/s
Velocity = 3.0 m/s
Momentum = mass * velocity
6.0 kg m/s = mass * 3.0 m/s
mass = 6.0 kg m/s / 3.0 m/s
mass = 2.0 kg
Therefore, the mass of the skateboard is 2.0 kg.
Finally, in the third problem, you have the mass and momentum of the baseball and need to calculate its velocity.
3. Given mass = 0.5 kg
Momentum = 10 kg m/s
Momentum = mass * velocity
10 kg m/s = 0.5 kg * velocity
velocity = 10 kg m/s / 0.5 kg
velocity = 20 m/s
Therefore, the velocity of the baseball is 20 m/s.
