The acceleration of the rocket is
Explanation:
The impulse exerted by the gas expelled by the rocket is equal to the change in momentum of the gas. Mathematically:
which can be rewritten as
F is the force exerted on the rocket
is the amount of mass of gas expelled per second
is the velocity of the gas
Solving for F,
This force acts upward, but we also know that there is another force acting on the rocket, the force of gravity, acting downward. Its magnitude is
where
m = 5000 kg is the mass of the rocket
is the acceleration of gravity
Therefore, the net force on the rocket is:
Now we can find the acceleration of the rocket by applying Newton's second law; we find:
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