For a constant force, suppose the duration of impact on an object is doubled.
a. How much is the impulse increased?
b. How much the resulting change in momentum increased?
a.
The change in the impulse when the duration of impact on an object is doubled keeping the force constant.
Answer to Problem 8A
Impulse will also be doubled.
Explanation of Solution
Introduction:
When a force is applied on an object for some time, an impulse is transferred on it given by,
As can be seen from above, if the force is constant then doubling the time of impact will result in the doubling the impulse.
Conclusion:
If the time of impact is doubled keeping the force constant, the impulse will also be doubled.
b.
The effect on the change in the momentum when the duration of impact on an object is doubled keeping the force constant.
Answer to Problem 8A
It will also be doubled.
Explanation of Solution
Introduction:
Impulse on an object is also given by,
Where,
As can be seen from above, if the force is constant then doubling the time of impact will also result in the doubling the change in momentum of the object.
Conclusion:
If the time of impact is doubled keeping the force constant, the change in momentum will also be doubled.
Chapter 8 Solutions
Conceptual Physics: The High School Physics Program
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