Final answer:
The total mechanical energy of a ball of mass 0.15 kg with 20 J of kinetic energy and located 2 m above the ground is 22.94 Joules, calculated by adding the kinetic energy to the gravitational potential energy.
Step-by-step explanation:
Calculating Total Mechanical Energy
To calculate the total mechanical energy of an object, we add its kinetic energy (KE) and its potential energy (PE), usually gravitational potential energy in cases like this one. The formula for gravitational potential energy is PE = mgh, where m is mass, g is acceleration due to gravity (9.8 m/s2), and h is height above the ground.
For a ball with a mass of 0.15 kg, a kinetic energy of 20 J, and a height of 2 m above the ground, the calculations would be as follows:
- Gravitational Potential Energy (PE) = mgh = (0.15 kg)(9.8 m/s2)(2 m) = 2.94 J
- Total Mechanical Energy (TME) = KE + PE = 20 J + 2.94 J = 22.94 J
The total mechanical energy of the ball is therefore 22.94 Joules.