Below are before-and-after pictures of a car’s speed. The mass of the car doesn’t change.
Rank the following from greatest to least.
a. the magnitude of momentum change
b. the magnitude of the impulse producing the momentum change
(a)
The rank of the magnitude of momentum change from greatest to least.
Answer to Problem 21A
The rank of the magnitude of momentum change from greatest to least is
Explanation of Solution
Formula used:
The expression for the change in velocity as follows:
Here,
The expression for change in momentum as follows:
Here,
Calculation:
For case A:
The change in velocity as follows:
The change in momentum as follows:
For case B:
The change in velocity as follows:
The change in momentum as follows:
For case C:
The change in velocity as follows:
The change in momentum as follows:
For case D:
The change in velocity as follows:
The change in momentum as follows:
By comparing the values, the change in momentum is
Hence, the rank of the magnitude of momentum change from greatest to least is
Conclusion:
Thus, the rank of the magnitude of momentum change from greatest to least is
(b)
The rank of the magnitude of the impulse producing the momentum change from greatest to least.
Answer to Problem 21A
The rank of the magnitude of the impulse producing the momentum change from greatest to least is
Explanation of Solution
Formula used:
The expression for the impulse as follows:
Here,
Calculation:
Impulse exerted is the change in momentum. That is impulse producing is directly proportional to the change in momentum.
Refer part (a).
The change in momentum for case A is
The change in momentum for case B is
The change in momentum for case C is
The change in momentum for case D is
By comparing the values, the change in velocity is
Hence, the rank of the magnitude of the impulse producing the momentum change from greatest to least is
Conclusion:
Thus, the rank of the magnitude of the impulse producing the momentum change from greatest to least is
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