physics

posted by .

A skier is gliding along at 1.13 m/s on horizontal, frictionless snow. He suddenly starts down a 13.1° incline. His speed at the bottom is 18.8 m/s. What is the length of the incline?

------------------------------------
Use his change in kinetic energy to get his loss of potential energy. The equation
g H = change in (V^2)/2
can be used to het the height change, H.

H and the slope angle can be used to get the length L of the incline.

H/L = sin 13.1

-------------------------------------

My attempt:

H/L = sin 13.1

L = sin13.1 / H
= sin13.1 / 18.8 m/s
= 0.01 km = 10 m

Why is this answer incorrect?

  • physics -

    Your equation L = sin13.1 / 18.8 m/s
    is totally wrong. You cannot have a length on one side of an equation and 1/Velocity on the other side. It is not even dimensionally correct. You did not follow the method suggested. Where did the L = 0.01 km come from?

    The change in V^2/2 is (18.8^2 - 1.13^2)/2 = 176.1 m^2/s^2

    That equals the change in gH

    The change in H is therefore
    176.1 m^2/s^2 / 9.8 m/s^2 = 18.0 m

  • physics -

    This answer still shows up as incorrect

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. physics

    A skier is gliding along at 1.13 m/s on horizontal, frictionless snow. He suddenly starts down a 13.1° incline. His speed at the bottom is 18.8 m/s. What is the length of the incline?
  2. Physics

    A skier is gliding along at 7.49 m/s on horizontal, frictionless snow. He suddenly starts down a 14.4° incline. His speed at the bottom is 28.5 m/s. What is the length of the incline?
  3. Physics

    A skier is gliding along at 7.49 m/s on horizontal, frictionless snow. He suddenly starts down a 14.4° incline. His speed at the bottom is 28.5 m/s. What is the length of the incline?
  4. Physics

    A skier is gliding along at 7.49 m/s on horizontal, frictionless snow. He suddenly starts down a 14.4° incline. His speed at the bottom is 28.5 m/s. What is the length of the incline?
  5. Physics

    A skier is gliding along at 6.24 m/s on horizontal, frictionless snow. He suddenly starts down a 19.9° incline. His speed at the bottom is 23.3 m/s. What is the length of the incline?
  6. Physics

    A skier is gliding along at 7.49 m/s on horizontal, frictionless snow. He suddenly starts down a 14.4° incline. His speed at the bottom is 28.5 m/s. What is the length of the incline?
  7. Physics

    A skier is gliding along at 7.49 m/s on horizontal, frictionless snow. He suddenly starts down a 14.4° incline. His speed at the bottom is 28.5 m/s. What is the length of the incline?
  8. physics

    A skier is gliding along at on horizontal, frictionless snow. He suddenly starts down a incline. His speed at the bottom is . What is the length of the incline?
  9. PHYSICS

    A skier is gliding along at on horizontal, frictionless snow. He suddenly starts down a incline. His speed at the bottom is . What is the length of the incline?
  10. Physics

    A skier is gliding along at 2.62 m/s on horizontal, frictionless snow. He suddenly starts down a 16.9° incline. His speed at the bottom is 18.4 m/s. What is the length of the incline?

More Similar Questions