Final answer:
To hold the projectile in position, the force required is 20 Newtons.
Step-by-step explanation:
To calculate the force required to hold the projectile in position, we need to consider the acceleration of the projectile in the pipe.
From the given information, we can calculate the acceleration using the formula:
Acceleration = Change in velocity / Time taken
Since the mean velocity is given as 6 m/s, we can use this as the final velocity and assume the initial velocity is 0 m/s.
Substituting the values in the formula, we have:
Acceleration = (6 m/s - 0 m/s) / 0.3 m = 20 m/s^2
Now we can calculate the force using Newton's second law:
Force = Mass * Acceleration
Assuming the mass of the projectile is 1 kg, we have:
Force = 1 kg * 20 m/s^2 = 20 N