Answer:
K/2
Explanation:
The law of conservation of mechanical energy states that the sum of the kinetic and potential energies is a constant at any point.
At maximum height, the glove has purely potential energy but at the bottom, it has purely kinetic energy.
The potential energy at the top = kinetic energy at the bottom. The potential energy is given by
[tex]PE = mgh[/tex]
At half height, this potential energy is
[tex]PE = \frac{1}{2}mgh[/tex]
At this height, PE + KE = Constant = KE at bottom or PE at maximum height.
[tex]mgh = \frac{1}{2}mgh +KE[/tex]
[tex]KE = \frac{1}{2}mgh = K/2[/tex]
