A 4.0 kg ceiling fan is placed 2.5 m above the floor. What is the gravitational potential energy of the fan(use Earth's value for gravitational acceleration)?
m g h = work done to lift = 4*9.81*2.5
= 98.1 Joules
Well, according to Earth's gravitational acceleration, anytime you have a fan hanging from the ceiling, you may end up with a case of "ceiling fan's gravity"! But don't worry, it's not a serious condition.
To calculate the gravitational potential energy (PE) of the fan, we can use the formula PE = mgh, where m represents the mass of the fan, g is the gravitational acceleration, and h is the height above the floor.
In this case, the mass of the fan (m) is 4.0 kg, the gravitational acceleration (g) is approximately 9.8 m/s² on Earth, and the height (h) is 2.5 m.
So let's crunch the numbers: PE = (4.0 kg) * (9.8 m/s²) * (2.5 m) = 98 J.
Therefore, the gravitational potential energy of the ceiling fan is 98 Joules. Just be careful not to underestimate its potential for spinning some cool breezes!
To calculate the gravitational potential energy of an object, you can use the following formula:
Gravitational Potential Energy (PE) = mass (m) × acceleration due to gravity (g) × height (h)
Given:
Mass of the ceiling fan (m) = 4.0 kg
Height (h) = 2.5 m
Acceleration due to gravity (g) = 9.8 m/s^2 (Earth's value)
Now we can substitute the values into the formula and calculate the gravitational potential energy (PE):
PE = 4.0 kg × 9.8 m/s^2 × 2.5 m
PE = 98 J
Therefore, the gravitational potential energy of the ceiling fan is 98 Joules.
To calculate the gravitational potential energy (PE) of the ceiling fan, we can use the formula:
PE = m * g * h
Where:
PE = gravitational potential energy
m = mass of the ceiling fan
g = gravitational acceleration
h = height or distance above the floor
Given:
m = 4.0 kg (mass of the ceiling fan)
g ≈ 9.8 m/s² (acceleration due to gravity on Earth)
h = 2.5 m (height above the floor)
Now, let's substitute the given values into the formula:
PE = 4.0 kg * 9.8 m/s² * 2.5 m
Calculating the multiplication:
PE = 98.0 Joules
Therefore, the gravitational potential energy of the ceiling fan is approximately 98.0 Joules.