Determine whether this statement is true or false.Jumping on a trampoline involves both kinetic energy and potential energy.TrueFalse

Analysis of the Statement

1. Understanding Energy Types:

   • Kinetic Energy (KE) is the energy of an object due to its motion. It can be calculated using the formula: $KE = \frac{1}{2}mv^2$ where $m$ is the mass and $v$ is the velocity of the object.
   • Potential Energy (PE) is the energy stored in an object due to its position or height. For gravitational potential energy near the surface of the Earth, it is calculated using: $PE = mgh$ where $m$ is mass, $g$ is the acceleration due to gravity (approximately $9.81 \, \text{m/s}^2$), and $h$ is the height above the ground.

2. Application to Trampoline Jumping:

   • When a person jumps on a trampoline, they convert kinetic energy into potential energy as they ascend (gain height). At the peak of the jump, kinetic energy is at its minimum, and potential energy is at its maximum.
   • As they descend, the potential energy converts back into kinetic energy, increasing as they approach the trampoline.

Conclusion

Since jumping on a trampoline involves changes between kinetic and potential energy, the statement is True.

Final Answer

True: Jumping on a trampoline involves both kinetic energy and potential energy.