Final answer:
a. The gravitational potential energy of the baseball is 7.056 J. b. The baseball does not possess any elastic potential energy. c. The kinetic energy of the baseball is 122.5 J. d. The total mechanical energy of the baseball is 129.556 J.
Step-by-step explanation:
a.
The gravitational potential energy of the baseball can be calculated using the equation: gravitational potential energy = mass * gravity * height. In this case, the mass of the baseball is 0.4 kg, the acceleration due to gravity is 9.8 m/s², and the height is 1.8 m. Plugging in these values, we get: gravitational potential energy = 0.4 kg * 9.8 m/s² * 1.8 m = 7.056 J.
b.
The baseball does not possess any elastic potential energy as there is no mention of any elastic force acting on the baseball.
c.
The kinetic energy of the baseball can be calculated using the equation: kinetic energy = 0.5 * mass * velocity². In this case, the mass of the baseball is 0.4 kg and the velocity is 35 m/s. Plugging in these values, we get: kinetic energy = 0.5 * 0.4 kg * (35 m/s)² = 122.5 J.
d.
The total mechanical energy of the baseball is the sum of its gravitational potential energy and kinetic energy. Therefore, the total mechanical energy is: total mechanical energy = gravitational potential energy + kinetic energy = 7.056 J + 122.5 J = 129.556 J.