Question

based on the diagram of a ball rolling down hill, what statement is true? a the ball in box c has less kinetic energy than ball in box b. b the ball in box a has less kinetic energy than the ball in box b. c the ball in box c has less kinetic energy than the ball in box d. d the ball in box a has equal amounts of potential and kinetic energy.

Explanation:

Step1: Recall kinetic - energy formula

Kinetic energy $K = \frac{1}{2}mv^{2}$, and speed of the ball is related to its position on the slope. The lower the ball is on the slope, the higher its speed (assuming no non - conservative forces like friction).

Step2: Analyze each option

• Option A: Ball in box C is lower than ball in box B, so ball in box C has more kinetic energy. This option is false.
• Option B: Ball in box A is at a higher position than ball in box B. According to conservation of mechanical energy ($E = K+U$, where $U = mgh$), ball in box A has more potential energy and less kinetic energy. This option is true.
• Option C: Ball in box C is lower than ball in box D, so ball in box C has more kinetic energy. This option is false.
• Option D: At the top (box A), the ball has mostly potential energy and very little kinetic energy (speed is close to 0 at the start). This option is false.

Answer:

B. The ball in box A has less kinetic energy than the ball in box B.