Jason takes off from rest across level water on his jet-powered skis. The combined mass of Jason and his skis is 75 kg (the mass of the fuel is negligible). The skis have a thrust of 200 N and a coefficient of kinetic friction on water of 0.10. Unfortunately, the skis run out of fuel after only 27 s. How far has Jason traveled when he finally coasts to a stop?

Question
Asked Sep 11, 2019

Jason takes off from rest across level water on his jet-powered skis. The combined mass of Jason and his skis is 75 kg (the mass of the fuel is negligible). The skis have a thrust of 200 N and a coefficient of kinetic friction on water of 0.10. Unfortunately, the skis run out of fuel after only 27 s. How far has Jason traveled when he finally coasts to a stop?

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Step 1

The net acceleration acting on the jet is

thrust friction = ma
thrust -mg ma
thrust mg
а 3
т
200 N -0.10(75kg)(9.8m/s')
(75kg)
1.687m/s
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thrust friction = ma thrust -mg ma thrust mg а 3 т 200 N -0.10(75kg)(9.8m/s') (75kg) 1.687m/s

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Step 2

The velocity of the jet before it runs out of fuel.

v = at
(1.687m/s2)(27s)
45.55m/s
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v = at (1.687m/s2)(27s) 45.55m/s

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Step 3

The distance travelle...

1
1 =ut at
2
1
(1.687 m/s")(27s)
2
2
= 614.91m
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1 1 =ut at 2 1 (1.687 m/s")(27s) 2 2 = 614.91m

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