physics

posted by .

A snowboarder of mass 74.4 kg (including gear and clothing), starting with a speed of 5.0 m/s, slides down a slope at an angle è = 37.1° with the horizontal. The coefficient of kinetic friction is 0.116. What is the net work done on the snowboarder in the first 6.02 s of descent

  • physics -

    Fs = 74.2kg * 9.8 = 727.2N @ 37.1deg = Force of snowboarder.

    Fp = 727.2sin37.1 = 438.6N = Force parallel to plane.

    Fv = 727.2cos37.1 = 580N = Force perpendicular to plane.

    Ff = u*Fv = 0.116 * 580 = 67.3N = Force of friction.

    Fn = Fp - Ff = 438.6 - 67.3 = 371.3N = Net force acting on snowboarder.

    a = Fn/m = 371.7 / 74.2 = 5m/s^2.

    d = Vo*t +0.5at^2,
    d = 5*6.02 + 0.5 * 5 * (6.02)^2,
    d = 30.1 + 90.6 = 120.7m.

    W = Fn * d = 371.3 * 120.7 = 44816 Joules.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. physics

    A snowboarder of mass 71.8 kg (including gear and clothing), starting with a speed of 4.8 m/s, slides down a slope at an angle θ = 37.1° with the horizontal.
  2. Physics

    A skier of mass 79.1 kg, starting from rest, slides down a slope at an angle q of 38 with the horizontal. The coefficient of kinetic friction, m, is 0.09. What is the net work (the net gain in kinetic energy) done on the skier in the …
  3. physics

    A skier of mass 77.7 kg, starting from rest, slides down a slope at an angle $\theta$ of 35.7° with the horizontal. The coefficient of kinetic friction is 0.08. What is the net work, i.e. net gain in kinetic energy, (in J) done on …
  4. Physics

    A snowboarder of mass 87.1 kg (including all of the gear and clothing), starting with a downhill speed of 6.1 m/s, slides down a slope at an angle $\theta$ of 36.7° with the horizontal. The coefficient of kinetic friction is 0.106. …
  5. physics

    A skier of mass 70.4 kg, starting from rest, slides down a slope at an angle $\theta$ of 36.8° with the horizontal. The coefficient of kinetic friction is 0.14. What is the net work, i.e. net gain in kinetic energy, (in J) done on …
  6. physics

    A skier of mass 70.4 kg, starting from rest, slides down a slope at an angle $\theta$ of 36.8° with the horizontal. The coefficient of kinetic friction is 0.14. What is the net work, i.e. net gain in kinetic energy, (in J) done on …
  7. physics

    A skier of mass 70.4 kg, starting from rest, slides down a slope at an angle $\theta$ of 36.8° with the horizontal. The coefficient of kinetic friction is 0.14. What is the net work, i.e. net gain in kinetic energy, (in J) done on …
  8. physics

    You are skiing and have a mass of 47 kg and are on a slope making an angle of 37 degrees above horizontal. The coefficient of kinetic friction between the skis and the snow is 0.18. What is the amount of force pulling you down the …
  9. physics

    A child on a sled (total mass 41 kg) slides down a hill inclined at an angle θ = 22° at a constant speed 3.5 m/s. (a) How long does it take the child to travel 40 meters down the slope?
  10. physics

    A skier slides down a ski slope with an acceleration 2.2 m/s^2 directed down the slope. The coefficient of kinetic friction between the skis and the slope is 0.24. What is the angle of the slope with the ground?

More Similar Questions