Question detail
A car travelling at 20 m s⁻¹ collides with a stationary truck and comes to rest. Explain the difference between the car’s total momentum before the collision and the change in its momentum during the collision.
Try the question, check the answer, then read the explanation to understand the curriculum point.
At a glance
Question
Type
exam_style
Style
Topic
Momentum
Question
A car travelling at 20 m s⁻¹ collides with a stationary truck and comes to rest. Explain the difference between the car’s total momentum before the collision and the change in its momentum during the collision.
Answer
The car’s total momentum before the collision is the product of its mass and its initial velocity (p = mv). The change in momentum (Δp) is the difference between the final and initial momentum, which in this case is the negative of the initial momentum because the final momentum is zero. Thus, total momentum refers to the momentum at a specific instant, while change in momentum refers to how much the momentum has altered as a result of the collision.
Explanation
This answer correctly identifies that total momentum is a snapshot value (mv) and that change in momentum is the difference between final and initial values, demonstrating understanding of the vector nature of momentum and the concept of impulse.
Common mistake
Confusing Change in Momentum with Total Momentum
Students often confuse the concept of change in momentum with total momentum, leading to incorrect calculations and interpretations in problems involving collisions.
To fix this, students should clearly define change in momentum as the difference between final momentum and initial momentum, and ensure they understand that total momentum refers to the sum of the momenta of all objects in a system.
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