Question

The rate of mass of the gas emitted from rear of a rocket is
initially 0.1 kg/sec. If the speed of the gas relative to the
rocket is 50 m sec and mass of the rocket is 2 kg, then the
acceleration of the rocket in m'sec is?​

Answer 1

Answer:

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Answer 2

The acceleration of the rocket in $2.5\ m/s^2$.

Explanation:

It is given that,

The rate of mass of the gas emitted from rear of a rocket is  initially 0.1 kg/s

Speed of the gas relative to the  rocket is 50 m

Mass of the rocket, m = 2 kg

Mass per unit time is given by :

$\dfrac{m}{t}=0.1$

$\dfrac{2}{t}=0.1$

t = 20 seconds

Let a is the acceleration of the rocket. It is given by :

$a=\dfrac{v-u}{t}$

Initial speed, u = 0

$a=\dfrac{v}{t}$

$a=\dfrac{50\ m/s}{20\ s}$

$a=2.5\ m/s^2$

So, the acceleration of the rocket in $2.5\ m/s^2$. Hence, this is the required solution.

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