A ship of mass 3×10^7 kg initially at rest, is pulled by a force of 5×10^4 N through a distance of 3m…

Q: A ship of mass 3×107 kg initially at rest, is pulled by a force of 5×104 N through a distance of 3 m. Assuming that the resistance due to water is negligible, the speed of the ship is

(a)1.5 m/s

(b)60 m/s

(c)0.1 m/s

(d)5 m/s

Ans: (c)

Sol:

$\large a = \frac{F}{m} = \frac{5\times 10^4}{3\times 10^7}$

$\large a = \frac{5}{3}\times 10^{-3}$ m/s2

$\large v^2 = u^2 + 2as$

$\large v^2 = 0 + 2as$

$\large v = \sqrt{2 a s}$

$\large v = \sqrt{2\times \frac{5}{3}\times 10^{-3}\times 3}$

v = 0.1 m/s