Question

A 31kg cart is initially at rest. A rope is hooked up to it and used to pull horizontally with a 20.1N force for 11m. How much energy did the pulling force add to the cart

Answer 1

`221.1\text{ Joules}`

Step-by-step explanation

Step 1

find the work done

All you need to do is take the force, F , and multiply it by the distance the object moved. The result will be the work performed on the object

`\text{work}=\text{ Force }\cdot dis\tan ce`

hence,

Let

`\begin{gathered} Force=20.1\text{ N} \\ \text{distance}=11\text{ m} \end{gathered}`

replace

`\begin{gathered} \text{work}=20.1\text{ N}\cdot11\text{ m} \\ \text{work}=221.1\text{ N}\cdot m \\ \text{work}=221.1\text{ Joules} \end{gathered}`

Step 2

Work done has the same units as energy – joules. This is because energy is the ability to do work. So you must have energy to do work. ... Work done is equal to energy transferred.

so

the energy added to the cart is

`221.1\text{ Joules}`

I hope this helps you