Question

* A box of mass (m) is initially at rest at the highest point of an inclined plane which has a height of 6.27 meters. The box is released, and it slides down the incline. What is the kinetic energy of the box at the bottom of the incline?

a) (12mg)
b) (mg)
c) (2mg)
d) (mgh)

Answer 1

The kinetic energy of the box at the bottom of the incline is equal to its initial potential energy at the top, which is expressed as mgh.

Step-by-step explanation:

The kinetic energy of a box of mass (m) at the bottom of an inclined plane, assuming no energy losses due to friction or air resistance, is equal to the initial gravitational potential energy at the highest point of the incline. Since the box starts at rest and loses potential energy as it descends, this energy is converted into kinetic energy. The formula for gravitational potential energy is PE = mgh, where h is the height of the inclined plane, and g is the acceleration due to gravity (9.81 m/s2). Thus, the kinetic energy (KE) at the bottom is the same as the potential energy (PE) at the top, which is KE = mgh.