# A pendulum, of mass of 600g, is dropped, from a height of 30cm. Calculate the GPE it had...

## Question:

A pendulum, of mass of 600g, is dropped, from a height of 30cm. Calculate the GPE it had (g=9.81). Tell me how much KE it will have, at the bottom of its swing (assuming no air resistance). Assuming all the GPE is transferred to KE, what is the maximum velocity reached?

## Conservation of the energy

When there is no loss of the energy in any form of resistance then the total energy of the system remains conserved. According to the law of conservation of the energy the final energy is equal to the initial energy fo the system.

## Answer and Explanation:

Given

Mass of the pendulum (m) = 0.6 kg

height of the pendulum (h) = 0.3 m

Now, the gravitational potential energy would be

{eq}E = mgh \\ E = 0.6*9.81*0.3 \\ E = 1.766 \ J {/eq}

Now, due to the energy conservation, the kinetic energy at the bottom will be equal to the potential energy at the top

{eq}E _{2}= E \\ E_{2} = 1.766 \ J {/eq}