Toboggan Hill#

Ahmed 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.

Picture of a sled

Part 1#

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

Answer Section#

Please enter in a numeric value in .

Part 2#

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

Answer Section#

Please enter in a numeric value in .

Part 3#

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

Answer Section#

Please enter in a numeric value in .

Part 4#

If Ahmed’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 .

Attribution#

Problem is licensed under the CC-BY-NC-SA 4.0 license.
The Creative Commons 4.0 license requiring attribution-BY, non-commercial-NC, and share-alike-SA license.