Relationship between Energy and Work Done

Posted by Sek | 2:53 AM | , | 1 comments »

During a conversing of energy,

Amount of Work Done = Amount of Energy Converted

Example
A trolley of 5 kg mass moving against friction of 5 N. Its velocity at A is 4ms-1 and it stops at B after 4 seconds. What is the work done to overcome the friction?

Answer:

In this case, kinetic energy is converted into heat energy due to the friction. The work done to overcome the friction is equal to the amount of kinetic energy converted into heat energy, hence

$\begin{array}{l}{\rm{Work Done}} \\{\rm{ = Kinetic Energy Loss}} \\= \frac{1}{2}mv_1^2 - \frac{1}{2}mv_2^2 \\{\rm{ = }}\frac{{\rm{1}}}{{\rm{2}}}(5)(4)^2 - \frac{1}{2}(5)(0)^2 \\= 40J \\\end{array}$

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1 comments

1. Leslie Lim // November 18, 2014 at 11:01 PM

I'm impressed. You're truly well informed and very intelligent. You wrote something that people could understand and made the subject intriguing for everyone. I'm saving this for future use.

Pauleen
www.imarksweb.org