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  • Sand is being dropped from a stationary dropper at a rate of  <img alt="0.5 \mathrm{~kg}^{-1}" src="https://entrancecorner.oncodecogs.com/gif.latex?0.5%20%5Cmathrm%7B%7Ekg%7D%5E%7B-1%7D"

Sand is being dropped from a stationary dropper at a rate of  0.5 \mathrm{~kg}^{-1} on a conveyor belt moving with a velocity of \mathrm{5 \mathrm{~ms}^{-1}}.The power needed to keep the belt moving with the same velocity will be :

Option: 1

\mathrm{1.25 \mathrm{~W}}


Option: 2

\mathrm{2.5 \mathrm{~W}}


Option: 3

\mathrm{6.25 \mathrm{~W}}


Option: 4

\mathrm{12.5 \mathrm{~W}}


Answers (1)

best_answer

The power needed to keep the belt moving with the same velocity will be

\mathrm{P=\left ( \frac{dm}{dt} \right )v^{2}}

    \mathrm{=\left ( 0.5 \right )\times 25}

\mathrm{P=12.5\: W}

Hence 4 is correct option.

Posted by

avinash.dongre

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