Using the principle of conservation of mechanical energy, calculate the maximum height achieved by a 7 n ball tossed vertically upward with an initial velocity of 10 m/s.

Because mechanical energy is conserved, potential energy due to gravity will equal the kinetic energy of the used to throw the ball. This is represented by mgh=.5mv^2
1. Divide both sides of the equation by m to ignore mass. The new equation will be gh=.5v^2
2. Substitute values into the equation: 9.8h=(.5)(10^2)--> 9.8h=50
3. Divide 50 by 9.8 to get h=5.102m