# A hamster is pushed off a cliff by wind. Its mass is 0.040 kg and has a Potential Energy of 98 J....

## Question:

A hamster is pushed off a cliff by wind. Its mass is 0.040 kg and has a Potential Energy of 98 J. Find the kinetic energy...

## Conservation of energy

The relationship between potential energy and kinetic energy is considered to be conserved. For an object with potential energy is maximum, the kinetic energy is zero, and vice versa.

Given:

{eq}m = 0.04 \text{kg}\\ PE_i = 98 \text{J}\\ KE_f = ? {/eq}

Using the conservation of energy, the kinetic energy of the hamster can be calculated.

{eq}\Delta KE = \Delta PE\\ \Rightarrow KE_f - KE_i = PE_f - PE_i\\ \Rightarrow KE_f - 0 = 0 - PE_i\\ \Rightarrow KE_f = - PE_i (\text{negative sign is just for the direction})\\ \Rightarrow \boxed{KE_f = 98 \text{J}} {/eq}