Laws of Motion

JEE Main level, single correct, medium

56 of 210

Question 56 of 210

Sand is being dropped on a conveyer belt at the rate of 2 kg2 \mathrm{~kg} per second. The force necessary to keep the belt moving with a constant speed of 3 ms−13 \mathrm{~ms}^{-1} will be

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Answer: (B) 6 N6 \mathrm{~N}

Here, rate of fall of sand on conveyer belt,
dmdt=2 kg s−1\frac{d m}{d t}=2 \mathrm{~kg} \mathrm{~s}^{-1}
Conveyer belt speed v=3 ms−1v=3 \mathrm{~ms}^{-1} Force F=F= ?
F=vdmdt=3×2=6 NF=v \frac{d m}{d t}=3 \times 2=6 \mathrm{~N}

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