a yellow ball with a mass of 2 kg is rolling across the floor at 3 m/s. a red ball with a mass of 3 kg is…

a yellow ball with a mass of 2 kg is rolling across the floor at 3 m/s. a red ball with a mass of 3 kg is rolling across the same floor at 3 m/s. which ball has greater kinetic energy, and why? the yellow ball has greater kinetic energy, because it is rolling at a higher position above the ground. the red ball has greater kinetic energy, because it has a greater mass. the yellow ball has greater kinetic energy, because it is rolling at a greater speed. the red ball has greater kinetic energy, because it is releasing more thermal energy.

a yellow ball with a mass of 2 kg is rolling across the floor at 3 m/s. a red ball with a mass of 3 kg is rolling across the same floor at 3 m/s. which ball has greater kinetic energy, and why? the yellow ball has greater kinetic energy, because it is rolling at a higher position above the ground. the red ball has greater kinetic energy, because it has a greater mass. the yellow ball has greater kinetic energy, because it is rolling at a greater speed. the red ball has greater kinetic energy, because it is releasing more thermal energy.

Answer

Explanation:

Step1: Recall kinetic - energy formula

The formula for kinetic energy is $K = \frac{1}{2}mv^{2}$, where $m$ is mass and $v$ is velocity.

Step2: Analyze given information

The yellow ball has $m_y=2\ kg$ and $v_y = 3\ m/s$. The red ball has $m_r=3\ kg$ and $v_r = 3\ m/s$. Since the velocities are the same ($v_y=v_r = 3\ m/s$), and kinetic energy is directly proportional to mass when velocity is constant ($K\propto m$ as $v$ is fixed), the ball with the greater mass has greater kinetic energy. The red ball has a greater mass ($m_r>m_y$).

Answer:

The red ball has greater kinetic energy, because it has a greater mass.