A cart loaded with sand having total mass `m_(0)=1800kg` moves on a straight horizontal road starting from rest under the action of a force of 120N. The sand spills through a small hole hole in the bottom at a rate of 0.5 kg/sec. What will be the velocity of cart after 20 min?

Options

A. 220 m/sec
B. 240 ln `((3)/(2))`
C. 120m/sec
D. None of these

Explanation

`F=ma=(mdu)/(dt)`
`dv=(F)/(m)dt`
`int_(0)^(v)dv=int_(0)^(1200s)(120)/((1800-0.51))dt`
`=(1200)/(-0.5)[n(1800-0.5t)^(200)`
`=240ln((3)/(2))`