2 The total mass of a cyclist and her bicycle is 75 kg . The cyclist ascends a straight hill of length 0.7 km inclined at \(1.5 ^ { \circ }\) to the horizontal. Her speed at the bottom of the hill is \(10 \mathrm {~m} \mathrm {~s} ^ { - 1 }\) and at the top it is \(5 \mathrm {~m} \mathrm {~s} ^ { - 1 }\). There is a resistance to motion, and the work done against this resistance as the cyclist ascends the hill is 2000 J . The cyclist exerts a constant force of magnitude \(F \mathrm {~N}\) in the direction of motion. Find \(F\).