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# Calculating Work Done

### Calculating Work Done

We will apply the Work Done equation to calculate the energy transferred in a system, to illustrate how much force is applied to what distance.

Which of the following is also a correct equation for **work** **done**?

If you increase the force, what happens to work done?

If you increase the distance that a force moves an object, what happens to work done?

Remember that **work** **done** is the same as the **energy** **required** to move an object over a certain distance, by applying some force. This distance is in the **direction** of the force.

If you increase the force and/or the distance, it increases the amount of work done. This can be calculated using the formula $E=F\times d$ where $E$ is work done (or energy) in Joules, $F$ is force in Newtons, and $d$ is distance in metres.

You can also use the formula $W=F \times d$ because **work** **done** and **energy** **transferred** is ultimately the same thing.

What is the work done in a system, if a block is pushed with a force of 100 Newtons for 2 meters?

What is the force used in a system where work done takes 1000 Joules, as a block is moved 10 meters?

A man lifts a 5 Newton block to a height of 5 metres. What is the work done by the man?

A man pushes a block with a force of 10 Newtons for a distance of 7 metres. What is the work done?

If the work done in a system increases by 50 Joules, what does the energy transferred in the system increase by?

**Work** **done** by a force in a system is the same as the **energy** **transferred** in that system. Therefore, if you increase or decrease work done, the energy will increase or decrease by the same amount.