Question

Plot the gravitational potential energy of a 2 kg ball as a function of height above...

Plot the gravitational potential energy of a 2 kg ball as a function of height above the floor, presuming the potential energy is zero at the floor. If the ball has an initial velocity (at height h=0) of 12 m/s, plot both the total energy and the kinetic energy of the ball as a function of h. What is the maximum height attained by the ball?

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Answer #1

At maximum height, the total energy is the potential energy.

When the ball touches the floor, the total energy is kinetic energy

Equating the 2 equations, one obtains the maximum height attained by the ball

The total energy is

The plot of potential energy vs h is shown below

The plot of kinetic energy vs h and total energy E is shown below

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