The world’s tallest building is the Burj Khalifa which stands at 828 above the ground. You take an elevator half way to the top. Your mass is 75kg . How much work in J did the elevator do on you to get you there?
To find the amount of work done by the elevator, we need to calculate the change in gravitational potential energy.
The formula for gravitational potential energy is given by:
PE = mgh
Where:
PE is the gravitational potential energy,
m is the mass,
g is the acceleration due to gravity (approximately 9.8 m/s²),
h is the change in height.
Since you took the elevator halfway to the top, the change in height would be half the height of the Burj Khalifa, which is 828/2 = 414 meters.
Now we can calculate the gravitational potential energy:
PE = (75 kg) * (9.8 m/s²) * (414 m)
PE = 306,090 J
Therefore, the elevator did approximately 306,090 Joules (J) of work on you to get you halfway to the top of the Burj Khalifa.