Final answer:
The average thrust force of the engines on the rocket is 5.0 Newtons.
Step-by-step explanation:
The average thrust force of the engines on the rocket can be calculated using Newton's second law of motion, which states that F = ma, where F is the force, m is the mass, and a is the acceleration.
Given that the mass of the rocket is 500 grams (0.5 kg) and it achieves a speed of 20.0 m/s in 2.00 seconds, we can calculate the acceleration using the formula a = (vf - vi) / t, where vf is the final velocity, vi is the initial velocity, and t is the time.
Plugging in the values, we get a = (20.0 m/s - 0 m/s) / 2.00 s = 10.0 m/s^2.
Now, we can calculate the thrust force using Newton's second law, F = ma. Plugging in the values, we get F = (0.5 kg) * (10.0 m/s^2) = 5.0 N.
Therefore, the average thrust force of the engines on the rocket is 5.0 Newtons.