1. Tardigrade
  2. Question
  3. Physics
  4. The rate of mass of the gas emitted from rear of a rocket is initially 0.1 kg/s . If the speed of the gas relative to the rocket is 50 m/s and mass of the rocket is 2 kg , then the acceleration of the rocket (in m/s2 ) is

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Q. The rate of mass of the gas emitted from rear of a rocket is initially $ 0.1\,kg/s $ . If the speed of the gas relative to the rocket is $ 50\,m/s $ and mass of the rocket is $ 2\,kg $ , then the acceleration of the rocket (in $ m/s^{2}$ ) is

J & K CETJ & K CET 2008Laws of Motion

Solution:

$a=\frac{\Delta v}{\Delta t}=\frac{v}{m} \cdot \frac{\Delta m}{\Delta t}$
$=\frac{50}{2} \times 0.1$
$=2.5\, ms ^{-2}$