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Chapter 7: Problem 1
Does the length of time that a force acts on an object have any effect on thestrength of the impulse produced? Explain.
Short Answer
Expert verified
Answer: The strength of the impulse produced is directly proportional to the length of time a force acts on an object. As the time duration for which the force is applied increases, the impulse produced also increases.
Step by step solution
01
Define Impulse
Impulse is a measure of the effect of force over a specific time duration on an object's momentum. It is defined as the product of the force applied on an object and the time duration during which the force is acting. Mathematically, impulse (J) can be represented as $$J = F \times \Delta t$$, where F is the force and $$\Delta t$$ is the time duration.
02
Analyze the relationship between impulse and time
From the impulse definition in Step 1, we can see that the impulse is directly proportional to both the force and the time duration during which the force is acting on the object. If either the force increases or the time duration increases, the impulse will consequently increase.
03
Explain how time duration affects the impulse produced
Since the impulse (J) is equal to the product of force (F) and time duration ($$\Delta t$$), it becomes evident that increasing the time duration ($$\Delta t$$) for which the force is applied will lead to an increase in the impulse produced. As a result, the length of time a force acts on an object does have an effect on the strength of the impulse produced.In conclusion, the strength of the impulse produced is indeed affected by the length of time that a force acts on an object. The longer the force is applied, the greater the impulse will be.
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