Question

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

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

Answer 1

Answer: (B)

$6$ m/s

Force is $F=1.8\times {10}^{4}N$

Mass is $m=3000kg$

So acceleration is $a=1.8\times {10}^4/3000=6m/s^2$

Distance covered is $s=3m$.

Initial velocity $u=0$, as body is inititally is at rest.

As $v^2-u^2=2as\Rightarrow v^2-0=2\times 6\times 3$

$\Rightarrow v=\sqrt{36}=6m/s$

So final velocity of boat is $6m/s$