# A 10.0\ \mathrm{kg} crate slides across the floor 13\ \mathrm{m} against a force of friction of...

## Question:

A {eq}10.0\ \mathrm{kg} {/eq} crate slides across the floor {eq}13\ \mathrm{m} {/eq} against a force of friction of {eq}7.5\ \mathrm{N} {/eq}. What is the thermal energy produced?

## Friction:

- Friction is a resisting force that opposes motion.
- The work done by friction is lost in the form of heat.
- The amount of thermal energy produced in the process of sliding is due to the work done by friction.

## Answer and Explanation:

**Given Data**

{eq}\begin{align} \text{Mass } ~~ m&=10 ~~\rm{ kg}\\ \text{Friction force } ~~ f&=7.5 ~~\rm{ N}\\ \text{Distance travelled } ~~ x&=13 ~~\rm{ m}\\ \end{align} {/eq}

**Solution**

{eq}\begin{align} \text{Heat generated } &=\text{Work done by friction force } \\ \Rightarrow H &=fx\\ &=(7.5)(13)\\ &= 97.5 ~~\rm{ J}\\ \end{align} {/eq}

**Therefore, the thermal energy produced**{eq}\displaystyle \boxed{\color{blue} {H= 97.5 ~~\rm{ J}\\ }} {/eq}

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