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).
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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