Question

A motor boat is travelling with a speed of $3.0m{s}^{-1}$. If the force on it due to water flow is $500N$, the power of the boat is

• A. $150kW$
• B. $15kW$
• C. $1.5kW$
• D. $150W$

Answer 1

The correct option is C

$1.5kW$

Step 1: Given data

Velocity of the motor boat is $v=3.0m{s}^{-1}$

Force applied is $F=500N$

Step 2: Finding the power of the boat

We know that,

$$\begin{gathered} Power=Force\times velocity \\ Power=500\times 3 \\ Power=1500W=1.5kW \end{gathered}$$

Thus, the power of the boat is $1.5kW$

Hence option (c) is correct.