Question

Sam takes off from rest down a 50m high 10 degree slope on his jet-powered skis....

Sam takes off from rest down a 50m high 10 degree slope on his jet-powered skis. The jets on his skis still have a thrust of 200 N and Sam's mass is still 75kg.

If sam's speed is 40m/s at the bottom of the hill, what is the coefficient of kinetic friction between his skis and the snow?

Homework Answers

Answer #1

here,

mass of Sam , m = 75 kg

height , h = 50 m

theta = 10 degree

thrust due to jets , Ft = 200 N

normal force , N = m * g * cos(theta)

the length of slope ,s = h/sin(theta)

let the coefficient of kinetic friction be uk

using work energy theorm

total work done = kinetic energy gained

Wt + Wg + Wff = KE

Ft * s + m * g * H - uk * N * s = 0.5 * m * v^2

Ft * (h /sin(theta)) + m * g * H - uk * N * (h/sin(theta)) = 0.5 * m * v^2

200 * ( 50/sin(10)) + 75 * 9.81 * 50 - uk * 75 * 9.81 * cos(10) * ( 50/sin(10)) = 0.5 * 75 * 40^2

solving for uk

uk = 0.16

the coefficient of kientic friction is 0.16

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Jason takes off from rest down a 50 m tall, 10.0° degree slope on his jet-powered...
Jason takes off from rest down a 50 m tall, 10.0° degree slope on his jet-powered skis. The skis have a thrust force of 280 N, directed so that the force pushes Jason forward along the slope. The combined mass of skis and Jason is 50.0 kg. Jason’s speed at the bottom of the hill is 40.0 m/s. What is the magnitude of the frictional force that must be acting on the skis?
Jason takes off across level water on his jet-powered skis. The combined mass of Jason and...
Jason takes off across level water on his jet-powered skis. The combined mass of Jason and his skis is 75kg (the mass of the the fuel is negligible). The skis produce a forward thrust of 200 N and have a coefficient of kinetic friction with water of 0.10. Unfortunately, the skis run out of fuel after only 41 seconds. How far from his starting point has Jason traveled when he finally coasts to a stop? Correct answer: 3900m   Show with...
Jason takes off across level water on his jet-powered skis. The combined mass of Jason and...
Jason takes off 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 produce a forward thrust of 200 N and have a coefficient of kinetic friction with water of 0.10. Unfortunately, the skis run out of fuel after only 90 s. What is Jason's top speed? Answer options: 150 m/s 240 m/s 24 m/s 90 m/s
An extreme skier, starting from rest, coasts down a mountain slope that makes an angle of...
An extreme skier, starting from rest, coasts down a mountain slope that makes an angle of 25.0° with the horizontal. The coefficient of kinetic friction between her skis and the snow is 0.200. She coasts down a distance of 12.7 m before coming to the edge of a cliff. Without slowing down, she skis off the cliff and lands downhill at a point whose vertical distance is 3.30 m below the edge. How fast is she going just before she...
A 20-kg rocket sled is sliding up a 30 degree, 10-m high snow ski jumping hill...
A 20-kg rocket sled is sliding up a 30 degree, 10-m high snow ski jumping hill from rest with constant thrust. The kinetic friction coefficient between the sled and snow is 0.2. The engine is turned off when the sled leaves the hill and it lands 50-m away from where it left the hill at ground level. The drag due to air resistance is negligible. What is the magnitude of thrust of the rocket sled? Edit: This is the question...
ch 6 1: It is generally a good idea to gain an understanding of the "size"...
ch 6 1: It is generally a good idea to gain an understanding of the "size" of units. Consider the objects and calculate the kinetic energy of each one. A ladybug weighing 37.3 mg flies by your head at 3.83 km/h . ×10 J A 7.15 kg bowling ball slides (not rolls) down an alley at 17.5 km/h . J A car weighing 1260 kg moves at a speed of 49.5 km/h. 5: The graph shows the ?-directed force ??...