which of the following has potential but not kinetic energy?

1. Understand the concepts:
   • Kinetic energy is the energy of motion, given by the formula (K = \frac{1}{2}mv^{2}), where (m) is the mass and (v) is the velocity. An object with non - zero velocity has kinetic energy.
   • Potential energy is stored energy. Gravitational potential energy is given by (U = mgh), where (m) is the mass, (g) is the acceleration due to gravity, and (h) is the height above a reference level. Elastic potential energy is stored in a stretched or compressed elastic object.
2. Analyze each option:
   • For the person jumping with a ball: The person and the ball are in motion, so they have kinetic energy. Also, at a non - zero height, they have gravitational potential energy.
   • For the person on the seesaw: If the seesaw is in motion (oscillating), the person has kinetic energy. Even at rest, if the person is at a non - zero height relative to the ground, they have gravitational potential energy. But if we consider the moment when the seesaw is at rest and just about to move, the person has only potential energy (gravitational potential energy due to height).
   • For the person jumping rope: The person is in motion, so they have kinetic energy.
   • For the person on the skateboard: The person on the skateboard is in motion (assuming normal skateboarding activity), so they have kinetic energy.

Answer: The person on the seesaw (at rest and at a non - zero height)

Explanation:

Step1: Recall energy definitions

Kinetic energy is energy of motion ((K=\frac{1}{2}mv^{2})), potential energy is stored energy.

Step2: Analyze each option

Jumping person/ball, jumping rope person, and skateboard person are in motion (have (v\neq0), so (K\neq0)). Seesaw person at rest can have only potential energy.