This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.
ScanSolve AI Answer
Step 1: Identify the given values and relevant physical constants. The mass of a proton is given as m = 1.67 × 10^-27 kg. The charge of a proton is a fundamental constant, q = 1.602 × 10^-19 C. The acceleration due to gravity is g = 9.81 m/s^2. Step 2: Set up the equation based on the problem statement. The problem asks for the electric field strength E such that the electric force (F_E) on a proton is equal to its gravitational force (weight, F_g). The electric force is given by F_E = qE. The gravitational force (weight) is given by F_g = mg. Equating these two forces: F_E = F_g qE = mg Step 3: Solve the equation for the electric field strength E. Divide both sides by q: E = (mg)/(q) Step 4: Substitute the known values into the equation and calculate E. E = (1.67 × 10^-27 kg) × (9.81 m/s^2)1.602 × 10^-19 C First, calculate the numerator: 1.67 × 10^-27 × 9.81 = 16.3827 × 10^-27 N Now, divide by the charge: E = 16.3827 × 10^-27 N1.602 × 10^-19 C E = ((16.3827)/(1.602)) × 10^-27 - (-19) N/C E = 10.2264 × 10^-8 N/C E = 1.02264 × 10^-7 N/C Rounding to three significant figures: E ≈ 1.02 × 10^-7 N/C The electric field strength is: 1.02 × 10^-7 N/C Send me the next one 📸