Toboggan Hill

Toboggan Hill#

Aliyah and their sled, with a combined mass of $p a r a m s . m$ $k g$ , slide $p a r a m s . l$ $m$ down a hill that makes an angle of ${p a r a m s . a n g_{h} o r i z}^{\circ}$ with the horizontal. They feel a friction force from the snow $F_f r = p a r a m s . f r$ $N$ and another force from the wind $F_w i n d = p a r a m s . f w i n d$ $N$ blowing at ${p a r a m s . a n g_{w} i n d}^{\circ}$ 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 $m k J$ .

Part 2#

How much work $W_f r$ is done by friction by the time Aliyah gets to the bottom of the hill?

Answer Section#

Please enter in a numeric value in $m k J$ .

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 $m k J$ .

Part 4#

If Aliyah’s inital speed at the top of the hill is $v_{i} = p a r a m s . v_{i}$ $m / s$ , 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 $W_{w} = 10$ $k J$ 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.
The Creative Commons 4.0 license requiring attribution-BY, non-commercial-NC, and share-alike-SA license.

Toboggan Hill

Contents

Toboggan Hill#

Part 1#

Answer Section#

Part 2#

Answer Section#

Part 3#

Answer Section#

Part 4#

Answer Section#

Attribution#