Final answer:
To find the radius of revolution for a ball experiencing a 5.0 N centripetal force with given mass and velocity, the formula for centripetal force is used. However, after performing the calculation, the computed radius does not match any of the provided options, indicating a potential error in the question or the options.
Step-by-step explanation:
The question asks for the radius of revolution for a ball that experiences a 5.0 N centripetal force while rotating horizontally at a constant speed of 1.0 m/s and having a mass of 2.0 kg. To find the radius, we use the formula for centripetal force: Fc = m(v2/r), where Fc is the centripetal force, m is the mass of the ball, v is the velocity, and r is the radius of the circular path.
Plugging in the values, we get:
5.0 N = (2.0 kg)(1.0 m/s)2/r
To solve for r, we rearrange the equation:
r = (2.0 kg)(1.0 m/s)2/5.0 N
r = (2.0 kg * 1.0 m2/s2)/5.0 N
r = 0.4 m
Thus, the radius of revolution is not explicitly listed in the options provided. There may be an error in the question's options or in the provided details. In typical circumstances, given the correct options, using the formula will yield the exact radius that matches one of them. The answer must fit one of the provided options, but with the given question, it does not. Therefore, it's not possible to select one of the answers A-D with confidence.