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A

Anonymous

Nov 26, 2024

First Year Physics Help…?

Sam, who has a mass of 75 kg, accelerates across a level snow surface using his jet-powered skis. The skis generate a thrust of 197 N, and the coefficient of kinetic friction between the skis and the snow is 0.1. Unfortunately, the skis run out of fuel after just 8 seconds.

(a) What is Sam’s top speed?

(b) How far has Sam traveled when he finally coasts to a stop?

Any assistance with this problem would be greatly appreciated! Thank you!

1 Answers

A
Anonymous

Nov 28, 2024

(a).

a = (F – f_friction)/m

a = (F – µ m g)/m

a = (197 – 0.1 * 75 * 9.8)/75

a = 1.647 m/s²

v = a t = 1.647 * 8

v = 13.173 m/s

(b).

conserve of energy

first stage condition;

F s = ½ mV² + µ m g s

197 s = ½ (75)(13.173)² + 0.1 (75)(9.8) s

solve for s, we get

s = 52.693 m

second stage condition;

½ mV² + (- µ m g S) = 0

½ (75)(13.173)² + (- 0.1 * 75 * 9.8 S) = 0

solve for S,

S = 88.535 m

total distance = s + S = 52.693 + 88.535 = 141.23 m

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