A child does 0.20 joule of work to compress the spring in a pop-up toy. if the mass of the toy is 0.010 kilogram, what is the maximum vertical height that the toy can reach after the spring is released?

At maximum height all of the springs energy is converted to potential energy that is (PE) of the toy at maximum height

PE=mgh and therefore h=PE/mg

where g is accerelation due to gravity which is 9.8m / sec squared

h=0.20/9.8 x0.010=2.04metres is the maximum height

Work done by the child = 0.20 J

Mass of the toy m = 0.010 kg

g = 9.8 m/s

Work is that is potential energy because it is at maximum height, PE = m x g x h

0.20 = 0.010kg x 9.8m/s x h = > 0.2 = 0.098 x h = > h = 0.2 / 0.098 = > h =

2.040

The maximum vertical height h = 2.0 mts