if a squirrel holds an acorn with a mass of 0.03 kg on top of a house 5 m above the ground. what is the potential energy of the acorn. (PE=mgh g=9.81m/s^2)
PE = mgh
PE = (0.03 kg)(9.81 m/s^2)(5 m)
PE = 1.47 Joules
Therefore, the potential energy of the acorn is 1.47 Joules.
To calculate the potential energy of the acorn, we can use the formula PE = mgh, where m is the mass of the acorn, g is the acceleration due to gravity, and h is the height above the ground.
Given:
Mass of the acorn (m) = 0.03 kg
Height above the ground (h) = 5 m
Acceleration due to gravity (g) = 9.81 m/s^2
We can now substitute the given values into the formula:
PE = (0.03 kg) × (9.81 m/s^2) × (5 m)
Now we can calculate the potential energy:
PE = 0.14715 kg⋅m²/s²
Rounding to the appropriate number of significant figures gives:
PE ≈ 0.15 kg⋅m²/s²
Therefore, the potential energy of the acorn is approximately 0.15 kg⋅m²/s².