A cyclist accelerates from rest to a velocity of 10 m/s over a distance of 100 m on a flat surface. The cyclist's mass, including the bike, is 70 kg. Assume that the only forces acting on the cyclist during the acceleration are friction and air resistance, which can be considered negligible for this scenario.
Calculate the work done by the cyclist on the bike during this acceleration. Remember to use the kinetic energy formula and the relationship between work, energy, and force. Use g = 9.81 m/s² for conversions when necessary.