Work Done by a Cyclist in Biathlon

A cyclist is participating in a biathlon, where they travel a certain distance on a flat terrain before transitioning to an uphill course. The cyclist weighs 70 kg and maintains a steady velocity of 5 m/s on the flat course. After completing 500 meters, they face a 200-meter incline that rises at a 5-degree angle for a distance of 500 meters.

Assuming no frictional losses and a constant gravitational field, calculate the total work done by the cyclist as they travel both on the flat terrain and the inclined path. Use g = 9.81 m/s² for calculations.

The work done against gravity can be calculated using the formula: W = mgh, where h is the height gained, which can be determined from the distance traveled along the slope and the angle of the incline.