A box is released from rest at the top of a flat rough slope of length20 metres that is inclined at an angle of 35° to the horizontal. It slidesunder gravity to the bottom of the slope. The coefficient of slidingfriction between the box and the slope is 0.17. Take the magnitude ofthe acceleration due to gravity to be g = 9.8 ms-2. Model the box as aparticle.j20 mi35°(a) State the three forces acting on the box during its motion, anddraw a force diagram representing these forces, labelling themclearly.(b) Find expressions for the component forms of the three forces, interms of the mass m (in kg) of the box and any unknownmagnitude(s) where appropriate. In doing this, take the Cartesianunit vectors i and j to point parallel and perpendicular to the slopein the directions shown above.(c) Hence or otherwise find the magnitude of the acceleration of thebox, in ms-2 to two significant figures.(d) Find the time that the box takes to reach the bottom of the slope,in seconds to two significant figures.

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