Question

A rocket gas at a rate of o.5kg/s if the force produced by the rocket is 100N what is the velocity of gas expelled

Answer 1

To find the velocity of the gas expelled, we can use the formula:

F = Δp/Δt

Where:
F = force produced by the rocket (100N)
Δp = change in momentum of the gas
Δt = time taken to expel the gas

Given that the rate of gas expelled is 0.5 kg/s, and the mass of the gas expelled is 0.5 kg, we can calculate the change in momentum:

Δp = m * Δv
Δp = 0.5 kg * v

Now, substituting the values into the formula:

100N = 0.5 kg * v / Δt

Rearranging the equation, we get:

v = 100N * Δt / 0.5 kg

Since the rate of gas expelled is 0.5 kg/s, we can substitute this into the equation:

v = 100N / 0.5 kg/s
v = 200 m/s

Therefore, the velocity of the gas expelled from the rocket is 200 m/s.