A cyclist pedals a long slope which is at 5 0 to the horizontal, as shown The cyclist starts from rest at the top of the slope and reaches a speed of 12 m s 1 after a time of 67 s, having travelled 40 m down the slope The total mass of the cyclist and bicycle is 90 kg a Calculate i The loss in grav...

a i Sin5 h40 h 3486 m PE mgh PE 90kg x 981 ms 2 x 3486m PE ...

A cyclist pedals a long slope which is at 5.0 to the horizontal, as shown. The cyclist

Question:

A cyclist pedals a long slope which is at 5.0° to the horizontal, as shown.

The cyclist starts from rest at the top of the slope and reaches a speed of 12 m s⁻¹ after a time of 67 s, having travelled 40 m down the slope. The total mass of the cyclist and bicycle is 90 kg.
a. Calculate:
i. The loss in gravitational potential energy as he travels down the slope
ii. The increase in kinetic energy as he travels down the slope.
b i. Use your answers to a to determine the useful power output of the cyclist.
ii. Suggest one reason why the actual power output of the cyclist is larger than your value in i.