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.