Which force-time curve has the smaller impulse, A or B?

Question

BlackTom AI · Accepted Answer

Impulse is the area under the force-time curve, i.e., ∫F dt. 
Option A: This option states that curve B has the smaller impulse. To assess this, compare the shaded areas under each curve. The yellow curve A is a very tall, narrow spike with a relatively small base in time, whereas curve B is a broader, lower-height hump with a much larger base in time. The area under B appears larger because the force remains significant over a longer duration, even if its height is lower than the peak of A. Therefore, the impulse associated with the curve A/B pair is not the smaller one asserted here; the area under B is larger than under A.
Option B: This option states that curve A has the smaller impulse. Given the visual comparison, the area under curve A is smaller in width but higher in peak, while curve B sustains a substantial force over a longer interval, yielding a larger area. Since the impulse depends on both height and time duration, the broader, longer curve B accumulates more impulse than the sharp, short curve A. Thus the claim that A has the smaller impulse aligns with the observation that the A-region’s area is smaller than the B-region’s.
Overall, evaluating the two choices in terms of which curve encloses less area under the curve shows that the left/right labeling corresponds to which impulse is smaller, with the longer, wider curve accumulating more impulse than the narrow spike. The key idea is that impulse equals area, and the larger area corresponds to the larger impulse, while the smaller area corresponds to the smaller impulse.

Which force-time curve has the smaller impulse, A or B?

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Which force-time curve has the smaller impulse, A or B?

View Explanation

Log in for full answers

Similar Questions

Which of the following is a correct definition of *impulse* in physics?

A 50 kg mass is sitting on a frictionless surface. A 157N force pushes the mass for 4.2 seconds until the mass reaches the desired velocity. Calculate the impulse in N.s. Only put in the numerical value. Answer to 1 decimal place and do not write the unit in your answer.

The change in an object’s momentum is equal to

A golf club exerts a force of 462 N on a golf ball ball for 18 ms. What impulse is given to the ball? Give your answer to one decimal place.

What is the impulse received by a ball of mass 0.5 kg that changes its velocity by 28 m s-1? Give your answer to the nearest whole number.

A tennis racquet exerts a force of 133 N on a ball for 0.035 s. What impulse is given to the ball? Give your answer to one decimal place.

What impulse is needed for a plane mass 78 tonne to change its velocity by 65 m s-1? Give your answer to the nearest whole number.

A 50 kg mass is sitting on a frictionless surface. A 200N force pushes the mass for 8.2 seconds until the mass reaches the desired velocity. Calculate the impulse in N.s. Only put in the numerical value. Answer to 1 decimal place and do not write the unit in your answer.

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Which of the following is a correct definition of impulse in physics?