A box of mass m slides down a frictionless inclined plane of length L and vertical height h. What is the change in its gravitational potential energy? a. -mgh b. -mgL/h C. -mgL d. -mgh/L

The change in gravitational potential energy of the box as it slides down the frictionless inclined plane is equal to the negative of the initial gravitational potential energy of the box at the top of the inclined plane.<br /><br />The gravitational potential energy of an object is given by the formula:<br /><br />Potential Energy = mass × acceleration due to gravity × height<br /><br />In this case, the mass of the box is m, the acceleration due to gravity is g, and the height is h.<br /><br />Therefore, the change in gravitational potential energy of the box as it slides down the frictionless inclined plane is:<br /><br />Change in Potential Energy = -mgh<br /><br />So, the correct answer is a. -mgh.