Question

An ox can apply a maximum force of 1000 N. It is taking part in a cart race and is able to pull the cart at a constant speed of 30 m/s while making its best effort. Calculate the power developed by the ox.

Answer 1

Step 1: Given data

Force($F$) = $1000N$

Velocity($v$) = $30m{s}^{-1}$

Step 2: Formula used:

Power($P$)= $\frac{Workdone\left(W\right)}{time\left(t\right)}$

Where, Work done($W$) = $Force\left(F\right)\times Displacement\left(s\right)$

Now,

$P=\frac{F\times s}{t}$

But, $\frac{s}{t}=velocity\left(v\right)$

Then,

$P=F\times \frac{s}{t}$

$P=F\times v$

Step 3: Calculation of the power developed by ox:

$P=1000N\times 30m{s}^{-1}$

$P=30000Watt\left(W\right)$

$P=30kW$

Thus,

The power developed by ox is $30kW$.