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?

Answer 1

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.