A rocket borns 1.5kg of fuel pre second and ejects it as a velocity of 15m/s calculate the force exerted be the ejected gas on the rocket
Using the equation for force, F = ma (where F is force, m is mass, and a is acceleration), we can calculate the force exerted by the ejected gas on the rocket.
First, we need to find the mass of the ejected gas per second. We're told that the rocket burns 1.5kg of fuel per second, so we can assume that the mass of the ejected gas is also 1.5kg per second.
Next, we need to find the acceleration of the ejected gas. We know that it's ejected with a velocity of 15m/s, but we don't know how long it takes for the gas to be ejected. However, we can assume that the ejection process is very quick (on the order of milliseconds), so we can say that the acceleration of the gas is roughly equal to the velocity divided by the time it takes to eject the gas. Let's assume that it takes 0.001 seconds to eject the gas:
a = v/t
a = 15m/s / 0.001s
a = 15000m/s^2
Now that we have the mass (m) and acceleration (a) of the ejected gas, we can calculate the force (F) exerted by the gas on the rocket:
F = ma
F = 1.5kg * 15000m/s^2
F = 22500N
Therefore, the force exerted by the ejected gas on the rocket is 22500 Newtons.
To calculate the force exerted by the ejected gas on the rocket, we can use Newton's second law of motion (F = m * a), where F is the force, m is the mass, and a is the acceleration.
The mass of fuel ejected per second is 1.5 kg.
The velocity of the ejected gas is 15 m/s.
To calculate the force, we need to find the acceleration of the ejected gas. We can use the equation for acceleration (a = Δv / Δt), where Δv is the change in velocity and Δt is the change in time.
Since the velocity of the ejected gas remains constant at 15 m/s, the change in velocity (Δv) is 0.
Therefore, the acceleration (a) of the ejected gas is 0 m/s^2.
Now, we can calculate the force (F) using Newton's second law.
F = m * a
F = 1.5 kg * 0 m/s^2
F = 0 N
So, the force exerted by the ejected gas on the rocket is 0 Newtons.