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Multiple Select QuestionSelect all that applyWhich statements correctly describe a system of two people on in-line skates, initially at rest until one person pushes against the other?Multiple select question.The total momentum after the push is zero.The total momentum before the push is zero.The total momentum after the push will be greater than zero.The total momentum after the push will be less than zero.

Question

Multiple Select QuestionSelect all that applyWhich statements correctly describe a system of two people on in-line skates, initially at rest until one person pushes against the other?Multiple select question.The total momentum after the push is zero.The total momentum before the push is zero.The total momentum after the push will be greater than zero.The total momentum after the push will be less than zero.

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Solution

The correct answers are:

  • The total momentum before the push is zero.
  • The total momentum after the push is zero.

Explanation:

Momentum is a vector quantity, meaning it has both magnitude and direction. In a closed system (like the two people on skates), the total momentum is conserved. This is known as the law of conservation of momentum.

Before the push, both people are at rest, so their velocities are zero. Since momentum is mass times velocity, the total momentum is also zero.

When one person pushes the other, they will move in opposite directions but their momenta will be equal in magnitude and opposite in direction. So when you add them together, the total momentum remains zero. This is because the momentum transferred from one person to the other is equal and opposite, so the total momentum of the system (both people) remains unchanged (zero in this case).

The total momentum after the push will not be greater than zero or less than zero, it will remain zero because of the conservation of momentum.

This problem has been solved

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