Apendulum has 532 j of potential energy at the highest point of its swing. how much kinetic energy will it have at the bottom of its swing?

532 J

Explanation:

If there are no frictional forces/air resistance involved in the problem, then the mechanical energy of the system is conserved.

This means that:

where E_i is the initial mechanical energy and E_f is the final mechanical energy. The mechanical energy is the sum of potential energy U and kinetic energy K:

At the highest point, the speed of the swing is zero, so

while at the bottom point, the potential energy is zero (if we take the bottom point of the swing as reference level), so

This means that the previous equation becomes

and since

the kinetic energy at the bottom of its swing is

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