A 0.272- kg coffee mug rests on a table top 0.71 m above the floor. What is the potential energy of the mug with respect to the floor?
PE = mg*h = 0.272*9.81 * 0.71 = 1.89 J.
To calculate the potential energy of the mug with respect to the floor, you need to use the formula for gravitational potential energy:
Potential energy = mass × acceleration due to gravity × height
First, let's find the values needed for the formula:
Mass (m) = 0.272 kg
Acceleration due to gravity (g) = 9.8 m/s^2 (approximately, at the surface of the Earth)
Height (h) = 0.71 m
Now, substitute these values into the formula:
Potential energy = 0.272 kg × 9.8 m/s^2 × 0.71 m
Multiply these values together:
Potential energy = 2.140096 J
Therefore, the potential energy of the mug with respect to the floor is approximately 2.14 Joules.