Question

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

Explanation:

Step1: Recall energy - formulas

Potential energy $U = mgh$ (where $m$ is mass, $g$ is gravitational acceleration, $h$ is height). Kinetic energy $K=\frac{1}{2}mv^{2}$ (where $v$ is velocity).

Step2: Analyze height - change

As the ball rolls down the ramp, its height $h$ decreases. Since $U = mgh$ and $m$ and $g$ are constant, the potential energy $U$ decreases.

Step3: Analyze velocity - change

As the ball rolls down the ramp, its velocity $v$ increases. Since $K=\frac{1}{2}mv^{2}$ and $m$ is constant, the kinetic energy $K$ increases.

Answer:

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