Question

Calculate the work done A car of weight $20000\mathrm{N}$ climbs up a hill at $8\mathrm{m}/\mathrm{s}$ speed. Gaining a height of$120\mathrm{m}$ in $100\mathrm{s}$.

Answer 1

Step 1: Given data

Weight $\left(\mathrm{w}\right)=20000\mathrm{N}$

Speed $\left(\mathrm{s}\right)=8\mathrm{m}/\mathrm{s}$

Height $\left(\mathrm{h}\right)=120\mathrm{m}$

Time $\left(\mathrm{t}\right)=100\mathrm{s}$

Step 2: Formula used

$\mathrm{P}=\frac{\mathrm{W}}{\mathrm{T}}$

$\mathrm{P}=$Power

$\mathrm{W}=$Work done

$\mathrm{T}=$Time

Step 3: Determine the work done
Calculate the work done against gravity as,
Work done by the car $=$ Weight of body $\times$Vertical distance
$=20000\times 120\mathrm{J}$

$=2400000$

$=2.4\times {10}^6\mathrm{J}$

The work done a car of weight $20000\mathrm{N}$ climbs up a hill at $8\mathrm{m}/\mathrm{s}$ speed. Gaining a height of $120\mathrm{m}$ in $100\mathrm{s}$ is $2.4\times {10}^6\mathrm{J}$.