Forces and equilibrium — practice question

A cyclist and her bicycle have a combined mass of $75\,\text{kg}$. She goes up a straight hill that is $0.7\,\text{km}$ long and makes an angle of $1.5^\circ$ to the horizontal. Her speed at the foot of the hill is $10\,\text{m s}^{-1}$ and at the summit it is $5\,\text{m s}^{-1}$. Motion is opposed by a resistance, and the work done against this resistance while the cyclist climbs the hill is $2000\,\text{J}$. The cyclist applies a constant force of magnitude $F\,\text{N}$ in the direction of motion.