Problem 7-23 Work - Part 6 - C

A girl pulls a toboggan of mass 4.81kg up a hill inclined at 25.7 to the horizontal. The vertical height of the hill is 27.3m. Neglecting friction between the toboggan and the snow, determine how much work the girl must do on the toboggan to pull it at constant velocity up the hill. [Ans. 1.29×103J]


Accumulated Solution

FBD indicating all forces and directions.

\(F = mg \sin \theta \\ d = h/ \sin \theta \\ W = Fd = mg \sin \theta \times \bigg( \frac{h}{sin \theta} \bigg) = mgh\)


No. h and d are not in the same direction and so cannot be subtracted.

Try again.