Final answer:
The force required to stop a rocket with an initial momentum of 20,000 kg-m/s in 60 seconds is 333.33 Newtons.
Step-by-step explanation:
To determine the force needed to bring a rocket to a full stop, we can use the concept of impulse and Newton's second law. Impulse is the change in momentum, and is equal to the force applied times the time duration for which the force is applied.
First, let's identify the initial momentum of the rocket, which is given as 20,000 kg-m/s. To bring the rocket to a full stop, we want to reduce this momentum to zero. The time given to stop the rocket is 60 seconds. The impulse therefore is the initial momentum (since the final momentum is 0).
Impulse = Force × Time
Force = Impulse / Time
Force = 20,000 kg-m/s / 60 s
The required force is 333.33 Newtons (N). This is the force necessary to bring the rocket to a stop in the given time.