Question

A boat of mass $3000kg$, initially at rest is pulled by a force of $1.8\times {10}^{4}N$ through a distance of $3m$. Assuming that the resistance due to water is negligible, velocity of boat is:

• A. $6m/s$
• B. $8m/s$
• C. $9m/s$
• D. $11m/s$

Answer 1

The correct option is A $6m/s$

Here, we are given that the boat is initially at rest.

Thus, $u=0$, mass $m=3000kg$, distance $s=3m$.

Substituting, we have

$a=F/m=\frac{1.8\times {10}^4}{3000}=6m/s^2$

But from equation of motion, we have $v^2-u^2=2as$.

Substituting the values,
$v^2-0=2\times 6\times 3=36$
$v=6m/sec$.

Thus, the velocity of the boat is $6m/sec$.