A cyclist traveling along a flat path exerts a constant force of 50 N directed forward to maintain a velocity of 8 m/s. The cyclist notices an uphill slope and, instead of pedaling harder, decides to coast without pedaling.
If the cyclist's mass, including the bicycle, is 70 kg, calculate the gravitational potential energy gained when they coast up a hill that rises 5 meters before coming to a stop. Assume no energy loss due to friction or air resistance.