A spaceship travelling along `+y` axis with speed `v_(0)` suddenly shoots out one fourth of its parts with speed `2v_(0)` along `+x`-axis. `xy` axes are fixed with respect to ground. The velocity of the remaining part is

Options

A. `(2)/(3)v_(0)`
B. `(sqrt(20))/(3)V_(0)`
C. `(sqrt(5))/(3)V_(0)`
D. `(sqrt(13))/(3)V_(0)`

Answer

B

Explanation

Along y-axis `mV_(0)=3(m)/(4)V' , V'=(4)/(3)V_(0)`
Along X-axis `2V_(0)xx(m)/(4)=(3m)/(4)V''rArrV''=(2)/(3)V_(0)`
`V_("remaining")=sqrt((16)/(2)V_(0)^(2)+(4)/(9)V_(0)^(2))=(sqrt(20))/(3)V_(0)`