A 120-MT concrete beam is lifted from the floor by two tandem heavy lift cranes up to a target height of 7.5 meters.

Calculate the potential energy of the beam when it is halfway the target height

1 answer

To calculate the potential energy of the beam when it is halfway the target height, we need to determine the gravitational potential energy formula and substitute the values into it.

The gravitational potential energy formula is given by:

Potential Energy = mass x gravity x height

Given:
Mass of the beam (m) = 120 MT = 120,000 kg (since 1 MT = 1000 kg)
Target height (h) = 7.5 meters

To find the potential energy when the beam is halfway the target height, we need to divide the target height by 2:

Halfway height = 7.5 meters / 2 = 3.75 meters

Now, we can substitute the values into the formula:

Potential Energy = mass x gravity x height
Potential Energy = 120,000 kg x 9.8 m/s^2 x 3.75 meters

Calculating the potential energy:

Potential Energy = 4,410,000 Joules

Therefore, the potential energy of the beam when it is halfway the target height is 4,410,000 Joules.