Question

An impulse of 11 ns from a rocket engine has 0.012 kg of fuel. what is the final exhaust velocity if the initial exhaust velocity is 0 m/s?

Answer 1

The final exhaust velocity of the rocket engine is 916.67 m/s.

Step-by-step explanation:

To calculate the final exhaust velocity, we can use the conservation of momentum principle. The impulse of the rocket engine can be calculated by multiplying the force with the time it is applied. In this case, the impulse is given as 11 ns (nanoseconds). The impulse can be expressed as the change in momentum of the rocket. The change in momentum is equal to the mass of the fuel multiplied by the final exhaust velocity. So, 11 ns = 0.012 kg * final exhaust velocity. Solving for the final exhaust velocity gives us the answer.

Final exhaust velocity = (11 ns) / (0.012 kg) = 916.67 m/s

Therefore, the final exhaust velocity of the rocket engine is 916.67 m/s.