Question

Would the kinetic energy of a pendulum at the bottom of the ark during a swing be the same as the gravitational potential energy at the top of the swing?

Answer 1

if you set the gravitational potential energy to be zero at the bottom, i.e. set height equal to zero for that point, in that case the value of kinetic energy at the bottom equals the value of potential energy at the top.

Answer 2

in the general case, since total energy is conserved, the total variation equals 0, so the variation in kinetic and potential energy must be related:
\[\Delta E_{total}=\Delta K + \Delta U = 0\]
so
\[\Delta K =- \Delta U\]
or
\[K_{top}-K_{bottom} =U_{bottom}-U_{top}\]

Answer 3

Oh right! Because of the conservation of energy, right! Thank you :)

Answer 4

yw!