Cart A has a mass of 5 kg and is moving in the + x direction at 2 m/s. Cart B ha

Question

Cart A has a mass of 5 kg and is moving in the +x direction at 2 m/s. Cart B has a mass of 2 kg and is moving in the +y direction at 5 m/s.

Do the two carts have the same momentum? Explain.

Is the magnitude of the momentum of each cart the same? Explain.

Is the kinetic energy of each cart the same? Explain.

Cannot determine from the given information.

Cannot determine from the given information.

Yes, they both have a momentum of magnitude 10. No, they do not have the same momentum because they move in different directions.

Is the magnitude of the momentum of each cart the same? Explain.

Yes, the product of each mass and velocity gives the same momentum magnitude. No, the magnitude is different because they move in different directions.

Is the kinetic energy of each cart the same? Explain.

No, they move in different directions. Yes, kinetic energy is the same regardless of direction. No, kinetic energy has a squared dependance on velocity thus, cart B has higher kinetic energy than cart A. Yes, kinetic energy is just the magnitude of the momentum vector.

Cannot determine from the given information.

Cannot determine from the given information.

Explanation / Answer

1) No, momentum is a vector quantity and has direction. Cart A momentum pA = 10kg.m/s i^ (in x direction)

Cart B momentum pB = 10kg.m/s j^ (in y direction)

2)yes, Magnitude of momentum is same = 10kg.m/s;

3)K.E of Cart A =1/2*5*2^2 =10J

K.E of Cart B = 1/2*2*5^2 = 25J

=> K.E of B> K.E of A

4)

No, they do not have the same momentum because they move in different directions.

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