.10 kilogram rocket designed to deliver an impulse of 6 newtons seconds. If the rocket engine burns .75 seconds, what average force does it produce.
force*time=impulse
solve for force.
To find the average force produced by the rocket engine, we can use the equation:
Average Force = Impulse / Time
Given:
Impulse = 6 Ns
Time = 0.75 s
Substituting the given values into the equation, we get:
Average Force = 6 Ns / 0.75 s
To simplify the calculation, we must convert the mass of the rocket from kilograms to Newtons using Newton's second law:
Force = Mass * Acceleration
Given:
Mass = 0.10 kg
Acceleration = ?
Rearranging the equation, we find:
Acceleration = Force / Mass
Substituting the known values, we get:
Acceleration = Average Force / Mass
Now we can substitute the value of the average force we calculated earlier:
Acceleration = (6 Ns / 0.75 s) / 0.10 kg
Now we have the acceleration produced by the rocket. However, since the question asks for the average force, we need to go back to the equation:
Average Force = Impulse / Time
Using this equation, we can find the average force by multiplying the acceleration by the mass:
Average Force = Acceleration * Mass
Substituting the known values, we get:
Average Force = (6 Ns / 0.75 s) * 0.10 kg
Simplifying the equation, we have:
Average Force = 8 N
Therefore, the average force produced by the rocket engine is 8 Newtons.