A force of 372 N is used to move a piano with a mass of 532 kg up a ramp 14 m long. What is the...

Question:

A force of 372 N is used to move a piano with a mass of 532 kg up a ramp 14 m long. What is the vertical height of the ramp?

Conservation Of Energy:

In the conservation of energy, the work done on the object is converted from one form into another for example when some work is done on the object in order to lift the object then the work done on the object will be stored as the potential energy.

Answer and Explanation:

Given

Mass of the piano is {eq}m= 532\ kg {/eq}

Length of the ramp is {eq}l=14\ m {/eq}

Force applied to the piano is {eq}F= 372\ N {/eq}

Now for the work done on the piano:

{eq}W=F\times l\\ W= 372\times 14\\ W=5208\ J {/eq}

This work done will be stored as the potential energy :

{eq}W=mgh\\ 5208=(532)\times 9.81\times h\\ h\sim 1m {/eq}

Thus, the height of the ramp is 1 m


Learn more about this topic:

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Energy Conservation and Energy Efficiency: Examples and Differences

from Geography 101: Human & Cultural Geography

Chapter 13 / Lesson 9
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