What is the gravitational potential energy of a 2kg ball on planet earth raised 15 meters in the air?
G.P.E.=mgh=(2Kg)(9.8m/s^2)(15m)
To calculate the gravitational potential energy (GPE) of an object, you need to know its mass (m), the acceleration due to gravity (g), and the height (h) above the reference point where the GPE is defined. On Earth, the acceleration due to gravity is approximately 9.8 m/s².
In this case, we have:
Mass (m) = 2 kg
Height (h) = 15 m
Acceleration due to gravity (g) = 9.8 m/s²
The formula to calculate GPE is:
GPE = m * g * h
Plugging in the given values:
GPE = 2 kg * 9.8 m/s² * 15 m
Now we can calculate it step by step:
1. Multiply the mass (2 kg) by the acceleration due to gravity (9.8 m/s²):
m * g = 2 kg * 9.8 m/s² = 19.6 kg·m/s² (This is also known as the weight of the ball.)
2. Multiply the result by the height (15 m):
19.6 kg·m/s² * 15 m = 294 kg·m²/s²
So, the gravitational potential energy of a 2 kg ball raised 15 meters in the air on planet Earth is 294 kg·m²/s².