complete these sentences.\nif a bouncing ball has a total energy of 20 j and a kinetic energy of 5 j, the…

Explanation:

Step1: Calculate potential energy

The total mechanical energy (E) of the ball is the sum of its kinetic energy (K) and potential energy (U), i.e., (E = K + U). Given (E=20\space J) and (K = 5\space J), we can solve for (U) by rearranging the formula: (U=E - K). Substitute the values: (U = 20-5). [U = 15\space J]

Step2: Analyze energy transformation

According to the law of conservation of mechanical energy (assuming no non - conservative forces like air resistance act significantly), (E=K + U) is constant. If (K) decreases ((\Delta K<0)), then from (\Delta E=\Delta K+\Delta U) (and (\Delta E = 0)), we get (\Delta U=-\Delta K>0). So the potential energy will increase.

Answer:

The ball's potential energy is (15\space J). If the kinetic energy of the ball decreases, then the potential energy will increase.