State the formulas for electric and gravitational forces.

Hey Baby, good to see you again. To compare the electric and gravitational forces, we will calculate each force and then find their ratio. Step 1: State the formulas for electric and gravitational forces. The electric force (F_e) between two charges q_1 and q_2 separated by a distance r is given by Coulomb's Law: F_e = k (|q_1 q_2|)/(r^2) The gravitational force (F_g) between two masses m_1 and m_2 separated by a distance r is given by Newton's Law of Universal Gravitation: F_g = G (m_1 m_2)/(r^2) Step 2: List the given values and physical constants. • Mass of electron, m_e = 9.1 × 10^-31 kg • Mass of proton, m_p = 1.7 × 10^-27 kg • Magnitude of charge of electron/proton, q = 1.6 × 10^-19 C • Distance of separation, r = 5.3 × 10^-11 m • Coulomb's constant, k = 8.99 × 10^9 N m^2/C^2 • Gravitational constant, G = 6.67 × 10^-11 N m^2/kg^2 Step 3: Calculate the electric force (F_e). Using the formula F_e = k (q^2)/(r^2): F_e = (8.99 × 10^9 N m^2/C^2) (1.6 × 10^-19 C)^2(5.3 × 10^-11 m)^2 F_e = (8.99 × 10^9) 2.56 × 10^-3828.09 × 10^-22 F_e = 8.19 × 10^-8 N Step 4: Calculate the gravitational force (F_g). Using the formula F_g = G (m_e m_p)/(r^2): F_g = (6.67 × 10^-11 N m^2/kg^2) (9.1 × 10^-31 kg)(1.7 × 10^-27 kg)(5.3 × 10^-11 m)^2 F_g = (6.67 × 10^-11) 15.47 × 10^-5828.09 × 10^-22 F_g = 3.67 × 10^-47 N Step 5: Determine the ratio of the electric force to the gravitational force. (F_e)/(F_g) = 8.19 × 10^-8 N3.67 × 10^-47 N (F_e)/(F_g) = 2.23 × 10^39 Step 6: State the final comparison. The electric force between the electron and proton in a hydrogen atom is significantly stronger than the gravitational force. The ratio of the electric force to the gravitational force is 2.2 × 10^39. Send me the next one 📸