Final answer:
The speed of the proton when it is 8.00×10−10m from the uranium nucleus is less than the speed of light. Therefore, the correct answer is C. Less than the speed of light.
Step-by-step explanation:
The speed of the proton can be determined using the principles of centripetal force and gravitational force. When the proton is at a distance of 8.00×10−10m from the uranium nucleus, it is subject to the attractive force of gravity between the two particles.
The centripetal force required to keep the proton in circular motion at this distance is equal to the gravitational force. By equating these forces and solving for the speed of the proton, we can find its value.
The speed of the proton at this distance is less than the speed of light, which is the correct answer. It is important to note that the speed of light is a fundamental constant in physics and no massive particles can reach or exceed this speed.