A Diwali rocket of mass 100,g lifts up with a | vedclass

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(C) The thrust force exerted by the ejected gases on the rocket is given by $F_{	ext{thrust}} = v_{	ext{rel}} \cdot \frac{dm}{dt}$.According to Newt

Vedclass · Accepted Answer

$150$

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(C) The thrust force exerted by the ejected gases on the rocket is given by $F_{	ext{thrust}} = v_{	ext{rel}} \cdot \frac{dm}{dt}$.According to Newton's second law,the net force on the rocket is $F_{	ext{net}} = F_{	ext{thrust}} - mg = ma$.Substituting the given values: $m = 100\,g = 0.1\,kg$,$\frac{dm}{dt} = 10\,g/s = 0.01\,kg/s$,$a = 5\,m/s^2$,and $g = 10\,m/s^2$.$v_{	ext{rel}} \cdot (0.01) - (0.1)(10) = (0.1)(5)$.$v_{	ext{rel}} \cdot (0.01) - 1 = 0.5$.$v_{	ext{rel}} \cdot (0.01) = 1.5$.$v_{	ext{rel}} = \frac{1.5}{0.01} = 150\,m/s$.

$A$ Diwali rocket of mass $100\,g$ lifts up with an acceleration of $5\,m/s^2$. If gases eject out of the rocket at a rate of $10\,g/s$,then find the velocity of ejection of gas with respect to the rocket in $m/s$.

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