How to Calculate the Height of an Object Lifted by a Power Shovel

What is the formula to calculate the height an object is lifted by a power shovel?

Given a power shovel that did 24000J of work by exerting a force of 4000N, how can we determine the height the shovel lifted the load?

Calculating the Height Lifted by a Power Shovel

To calculate the height an object is lifted by a power shovel, we can use the formula for work done, which is expressed as:

Work done = force × distance

In this case, the given values are:

Force = 4000N = 4000kgm/s²

Work done = 24000J = 24000kgm²/s²

We are solving for the height (h).

By substituting the given values into the work formula, we have:

24000kgm²/s² = 4000kgm/s² × h

Solving for h:

h = 24000kgm²/s² ÷ 4000kgm/s²

h = 6m

Therefore, the height at which the power shovel lifted the load is 6 meters.