Question

potential and kinetic energy. the ball is rolling down the ramp. which statement is true about the potential and kinetic energy of the ball? the potential energy is decreasing and the kinetic energy is increasing. the potential energy is increasing and the kinetic energy is decreasing. both potential and kinetic energy are increasing.

Explanation:

Step1: Recall energy - change principles

Potential energy ($PE = mgh$) depends on height $h$. Kinetic energy ($KE=\frac{1}{2}mv^{2}$) depends on speed $v$.

Step2: Analyze height and speed changes

As the ball rolls down the ramp, its height $h$ decreases and its speed $v$ increases.

Step3: Determine energy - change

Since $h$ decreases, potential energy decreases. Since $v$ increases, kinetic energy increases.

Answer:

The potential energy is decreasing and the kinetic energy is increasing.