High School

A skier who weighs 55 kg needs an impulse of 3 kg∙m/s to start moving on a horizontal surface covered with snow. Calculate the impulse needed to set a 90 kg skier on that surface.

a) 99 N∙s
b) 108 N∙s
c) 117 N∙s
d) 126 N∙s

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.