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.

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Physics

Rivers

3 January, 10:40

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.

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Lacey Rogers · Answer 1

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