A box of mass $$\(5 \mathrm{~kg}\)$$ is pulled at a constant speed a distance of $$\(15 \mathrm{~m}\)$$ up a rough plane inclined at an angle of $$\(20^{\circ}\)$$ to the horizontal. The box moves along a line of greatest slope against a frictional force of $$\(40 \mathrm{~N}\)$$. The force pulling the box is parallel to the line of greatest slope. Find the work done by the pulling force. ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................

Mathematics
IGCSE&ALevel
CAIE
Exam No:9709_w20_qp_43 Year:2020 Question No:2(c)

Answer:

\(W D=40 \times 15+5 \times 10 \times 15 \sin 20=857 \mathrm{~J}\)

Knowledge points:

4.5.3 understand and use the relationship between the change in energy of a system and the work done by the external forces, and use in appropriate cases the principle of conservation of energy Including cases where the motion may not be linear (e.g. a child on a smooth curved ‘slide’), where only overall energy changes need to be considered.

Solution:

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