Cyclist Work Against Gravity on Incline

A cyclist is riding up a hill that forms an incline of 15 degrees with respect to the horizontal. The mass of the cyclist and the bicycle combined is 75 kg. The cyclist exerts a force parallel to the incline of 300 N against friction as they ascend. The distance traveled along the incline is 200 m. Calculate the work done by the cyclist in overcoming the gravitational force along the incline.

Use the equation for work, W = F × d × cos(θ), where F is the force exerted, d is the distance traveled, and θ is the angle between the force and the direction of motion.