If a ship of mass ` 4 xx 10 ^( 7 ) ` kg initially at rest is pulled by a force of ` 5 xx 10 ^ ( 4 ) ` N through a distance of 4 m, then the speed of the ship will be (resistance due to water is negligible )

Options

A. 1.5 m/s
B. 60 m/s
C. 0.1 m/s
D. 5 m/s

Answer

C

Explanation

`a= F/m = (5 xx 10^(4))/(3 xx 10^(7)) = 5/3 xx 10^(-3) m//s^(2)`
`v = sqrt(2ac)`
`= sqrt(2 xx 5/3 xx 10^(-3) xx 3) = 0.1 m//s`