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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:

  1. Friction is a resisting force that opposes motion.
  2. The work done by friction is lost in the form of heat.
  3. 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}


Learn more about this topic:

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Friction: Definition and Types

from AP Physics 1: Exam Prep

Chapter 7 / Lesson 5
108K

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