Final answer:
The units for the calculation of energy by mass multiplied by gravity and height are Joules (J), which are equal to Newton-meters (N·m).
Step-by-step explanation:
The units for the calculation of energy, when taking into account mass multiplied by gravity and then by height, are Joules (J). Energy in physics is classically defined as the ability to do work, and work is calculated as force times distance. Since force is measured in Newtons (where 1 Newton (N) equals 1 kg · m/s²) and distance is measured in meters, the unit of work and also energy becomes Newton-meters (N·m), also known as Joules. When we calculate gravitational potential energy, we use the mass of an object (in kilograms), the acceleration due to gravity (9.8 m/s² on Earth), and the height (in meters) to find the energy in Joules.