Use Fig. 3.1 to find the total distance travelled up the slope.
The bicycle plus the cyclist has a combined mass of $92\,\text{kg}$. The cyclist moves through a vertical height of $1.3\,\text{m}$.
For the bicycle and cyclist during the interval from $t = 0$ to $t = 8.0\,\text{s}$, use Fig. 3.1 to calculate the change in kinetic energy.
Calculate the change in gravitational potential energy for the cyclist.
The cyclist pedals continuously so that the useful power delivered to the bicycle is $75\,\text{W}$. Calculate the useful work done by the cyclist while climbing the slope.
Some energy is spent overcoming frictional forces. Use your answers in (b) to show that the total energy converted in overcoming frictional forces is about $670\,\text{J}$.
Determine the mean magnitude of the frictional force.
Suggest why the total resistive force does not remain constant in magnitude.