A Mexican Jumping Bean jumps with the aid of a small worm that lives inside the bean. The bean and the worm have a combined mass of 0.002
kg. The bean can jump to a height of 0.01 m.

a. Calculate the potential energy at the maximum height.

b. Determine the total mechanical energy at the maximum height.

c. Determine the potential energy at a height of 0 m (before it lands).

d. Determine the total mechanical energy at a height of 0 m (before it lands).

e. Determine the kinetic energy at a height of 0 m (before it lands).

f. Calculate the velocity at a height of 0 m (before it lands).