Calculating Kinetic and Elastic Energy
Time for the maths bit - but don't worry, these equations are your friends once you practise them. Kinetic energy calculations pop up constantly, so memorise this formula: Ek = ½mv².
The equation tells you that doubling an object's speed actually quadruples its kinetic energy (because you're squaring the velocity). Mass matters too - heavier objects store more kinetic energy at the same speed.
For elastic potential energy, use Ee = ½ke². Here, 'k' represents the spring constant (how stiff the spring is), whilst 'e' shows how much you've stretched it. Stretch a spring twice as far, and you store four times more energy.
Gravitational potential energy uses the simpler formula Ep = mgh. This one's straightforward - more mass, greater height, or stronger gravity all mean more stored energy.
Calculator Tip: Watch out for that ½ in the kinetic and elastic energy equations - it's easy to forget under exam pressure!