A crate of mass 10 kg is pulled at a constant speed up a rough slope inclined at 30∘ 30^\circ\,30∘ to the horizontal. The coefficient of friction between the crate and the slope is 0.2.
The crate is pulled a distance of 12 m up the line of greatest slope by a force P P\,P acting parallel to the slope.
Taking g=9.8 m s−2g = 9.8\text{ m s}^{-2}g=9.8 m s−2, find the work done by the pulling force. Give your answer to 3 significant figures.
588 J588\text{ J}588 J
706 J706\text{ J}706 J
792 J792\text{ J}792 J
823 J823\text{ J}823 J