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Answer :
Final Answer:
The impulse needed to set a 90 kg skier on that surface is 4.91 N∙s. None of the options is correct.
Explanation:
We can solve this problem by considering the ratio of the skiers' masses and the impulse needed for the first skier. If a 3 kg force provides enough impulse for a 55 kg skier, then a 90 kg skier would require a proportionally larger force (and impulse) to overcome its inertia.
Calculate the impulse for the first skier: Impulse = Force x Time = 3 kg x 1 s = 3 N∙s.
Calculate the ratio of the skiers' masses: 90 kg / 55 kg = 1.64.
Multiply the first skier's impulse by the mass ratio to find the impulse needed for the second skier: 3 N∙s x 1.64 = 4.91 N∙s.
Therefore, the 90 kg skier would need an impulse of 4.91 N∙s to overcome its inertia and start moving on the horizontal surface. None of the options is correct.
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