Energy, Work, Power - 6

It is defined as the product of the force and the distance moved in the direction of force

Joules represented as J

$Force (N) \times Distance \space moved \space in \space direction \space of \space force \space (m) = work \space done \space (J)$

When distance does not change, force is not applied or distance does change but it is not in the direction of the force applied

It is the capacity to do work

It is defined as the energy that an object possesses due to its motion

$\frac{1}{2} \times mass \space (kg) \times velocity^2 \space (m/s) = KE \space (J)$

It is the energy that an object possesses because of its positon relative to the ground

$mass (kg)\times gravity (N/kg)\times height (m).$ By default, assume gravity is 10 as that's the value for earth

Energy cannot be created or destroyed but can only be transformed from one form to another or transferred from one system to another. The total energy of an isolated system (closed system) remains constant

$Initial \space Energy + Work \space done \space by \space external \space Force = Final \space Energy + Work \space Done \space to \space overcome \space resistive \space force$

It is the rate of of work done

$\frac{Work \ Done(J)}{Time(s)}$ OR $\frac{Energy(J)}{Time(s)}$ OR $Force \times Constant \ Speed \space (m/s) = Power (W). \space 1 W = 1J/s$

It is defined as the percentage ratio of the output energy to the input energy

$\frac{useful\,energy/power\,output}{total\,energy/power\,output} \times 100%$

$\frac{New \ velocity \space (m/s) - old \ velocity \space (m/s)}{time \space (s)}$

The area of triangle below the line in DST graph. ie $\frac{1}{2} \times velocity \times time$