Question

$\text{50kJ}$ of energy causes a displacement of $\text{25m}$ to a body in the direction of force in $\text{2.5s}$. Find the power in a unit of horse power.

• A. 26.8 hp
• B. 28.6 hp
• C. 13.4 hp
• D. 14.3 hp

Answer 1

The correct option is A

26.8 hp

Power is defined as the rate of change of energy.
So, $power=\frac{50\times {10}^3}{2.5}=2\times {10}^{4}W$
Now, we know that,
$\text{1 hp = 746 W}$
Therefore, power $=2\times$ ${10}^{4}W$
$=\frac{2\times {10}^4}{746}=26.8hp$