Question

Two protons are 9.0 fm apart. ( 1 fm = 1 femtometer = 1×10^−15m .) What is the magnitude of the electric force on one proton due to the other proton? Express your answer in newtons. What is the magnitude of the gravitational force on one proton due to the other proton? Express your answer in newtons. What is the ratio of the electric force to the gravitational force?

Answer 1

Electric force (Fe) = 2.84 N

Gravitational force (Fg) = 2.296 * 10^-36

Ratio = 1.236 * 10^36

Step-by-step explanation:

• Identify the relevant formulas for the electric force and the gravitational force between two point charges or masses. These are Coulomb’s law & Newton’s law of gravitation, respectively.
• Plug in the given values of the charges, masses, and distance into the formulas and calculate the magnitude of each force. Make sure to use consistent units and correct values of the constants.
• Divide the electric force by the gravitational force to get the ratio of the two forces. Simplify the expression if possible.
• Check your answer for reasonableness and accuracy. Compare it with other sources if available.