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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?A. 220 m/secB. 240 ln `((3)/(2))`C. 120m/secD. None of these |
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Answer» `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))` |
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