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A cart loaded with sand having total mas...

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/sec

B

240 ln `((3)/(2))`

C

120m/sec

D

None of these

Text Solution

Verified by Experts

`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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A cart loaded with sand having totla mass m_(0)=1800kg moves on a straight horizontal road starting from rest under the action of a force o 120 N. The ans spills through a small hole in the bottom at a rate of K=0.5kgs^(-1) . What will be the value of the velocity (in ms^(-1) ) of the cart after 20 min?

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Knowledge Check

  • A body of mass 25 kg is at rest on a horizontal surface. Minimum horizontal force required to just start the motion is 73.5 N and a force of 49 N is needed to keep the body moving with a constant velocity. What is the coefficient of static friction?

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