Calculating Energy

The kinetic energy of an object depends on its mass and its speed

K.E. = 1/2 m v2

e.g. this dog has a mass of 7 kg and is running at 6 m/s

its kinetic energy is 0.5 x 7 x 36 = 126J

 

The gravitational potential energy of an object on Earth depends on its mass and its height.
(we usually assume an object has zero g.p.e. at the Earth's surface)

G.P.E. = m g h

e.g. this man is 5m above the water. His mass is 75 kg.

His g.p.e. is 75 x 9.8 x 5 = 367.5J

 

The elastic potential energy stored in a spring depends on its extension and its stiffness

E.P.E. = 1/2 k x2

e.g. the spring in this toy gun has a stiffness of 700N/m. It is squashed 5cm before shooting a ball.

It stores 0.5 x 700 x (0.05)2 = 0.875J of energy