Toboggan Hill

Aliyah and their sled, with a combined mass of \({{params.m}}\) \(\rm{kg}\), slide \({{params.l}}\) \(\rm{m}\) down a hill that makes an angle of \({{params.ang_horiz}}^\circ\) with the horizontal. They feel a friction force from the snow \(F\_{fr} = {{params.fr}}\) \(\rm{N}\) and another force from the wind \(F\_{wind} = {{params.fwind}}\) \(\rm{N}\) blowing at \({{params.ang_wind}}^\circ\) below the horizontal from the top of the hill toward the bottom.

For reference, below is a picture of a sled.

Part 1

How much work is done by gravity \(W_g\) by the time Aliyah gets to the bottom of the hill?

Answer Section

Please enter in a numeric value in \( m{kJ}\).

Part 2

How much work \(W\_{fr}\) is done by friction by the time Aliyah gets to the bottom of the hill?

Answer Section

Please enter in a numeric value in \( m{kJ}\).

Part 3

How much work \(W_w\) is done by the wind by the time Aliyah gets to the bottom of the hill?

Answer Section

Please enter in a numeric value in \( m{kJ}\).

Part 4

If Aliyah’s inital speed at the top of the hill is \(v_i = {{params.v_i}}\) \(\rm{m/s}\), what is their speed \(v_f\) at the bottom of the hill?

If you are not able to get an answer for Part 3, you can still get marks for Part 4. Use \(W_w = 10\) \(\rm{kJ}\) to continue answering Part 4.

Answer Section

Please enter in a numeric value in \( m{m/s}\).

Attribution

Problem is licensed under the CC-BY-NC-SA 4.0 license.