At a certain instant of time the mass of a rocket going up vertically is 100 kg. If it is ejecting 5 kg of gas per second at a speed of 400 m/s, the acceleration of the rocket is  find the value of x ?(take g = 10 )A 3 B 5 C 10 D 8

To find the acceleration of the rocket, we can use Newton's second law of motion, which states that the force acting on an object is equal to its mass multiplied by its acceleration.

Given that the rocket is ejecting gas at a rate of 5 kg/s and the speed of the ejected gas is 400 m/s, we can calculate the force exerted by the ejected gas using the equation:

Force = (Rate of mass ejection) x (Speed of ejected gas)

Force = 5 kg/s x 400 m/s Force = 2000 N

Now, we can calculate the net force acting on the rocket. The only force acting on the rocket is the force exerted by the ejected gas, as there is no mention of any other external forces. Therefore, the net force is equal to the force exerted by the ejected gas.

Net Force = 2000 N

Next, we can calculate the acceleration of the rocket using Newton's second law:

Net Force = Mass x Acceleration

2000 N = 100 kg x Acceleration

Acceleration = 2000 N / 100 kg Acceleration = 20 m/s^2

Since the acceleration of the rocket is 20 m/s^2, we can conclude that the value of x is 2. Therefore, none of the given options (A, B, C, D) match the correct value of x.