You are on a sled at the top of a 30.0-m tall toboggan run.Provided you can ignore friction forces between the sled and the track,when you reach the bottom of the toboggan you have a speed of

Question

Quizplus · Accepted Answer

The speed of an object at the bottom of a hill is determined solely by the potential energy it had at the top of the hill. Using the equation for gravitational potential energy, PE = mgh, where m is the mass of the sled, g is the acceleration due to gravity (9.8 m/s^2), and h is the height of the hill (30.0 m), we can find the potential energy at the top of the hill.

PE = mgh 
PE = (m)(9.8 m/s^2)(30.0 m) 
PE = 2940 m kg/s^2

This potential energy is converted entirely into kinetic energy at the bottom of the hill. Using the equation for kinetic energy, KE = 1/2mv^2, where v is the speed of the sled at the bottom of the hill, we can solve for v.

KE = 1/2mv^2 
2940 m kg/s^2 = 1/2m(v^2) 
5880 m/s^2 = v^2 
v ≈ 24.3 m/s

Therefore, the answer is choice C.

You Are on a Sled at the Top of a 30.0-M