Question

the total energy of the ball is 8 units. the ball is dropped. at a certain point during its fall, it has 4 units of kinetic energy. what is its potential energy at that moment? 0 units 4 units 12 units 8 units

Explanation:

Step1: Recall energy conservation

The total mechanical energy (kinetic + potential) of the ball is conserved, so \( \text{Total Energy} = \text{Kinetic Energy} + \text{Potential Energy} \).

Step2: Substitute known values

We know total energy is 8 units and kinetic energy is 4 units. Let \( PE \) be potential energy. Then \( 8 = 4 + PE \).

Step3: Solve for potential energy

Subtract 4 from both sides: \( PE = 8 - 4 = 4 \) units.

Answer:

4 units (corresponding to the option "4 units")