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. Mass of object A, m_1 = 2,000 kg Mass of object B, m_2 = 4,000 kg Distance between the centers of objects A and B, r = 80 Km Step 2: Convert the distance to SI units (meters). 1 Km = 1000 m r = 80 Km × 1000 m/Km = 80,000 m Step 3: State the gravitational constant. The universal gravitational constant, G = 6.674 × 10^-11 N m^2/kg^2 Step 4: Apply Newton's Law of Universal Gravitation. The formula for gravitational force (F) is: F = G (m_1 m_2)/(r^2) Step 5: Substitute the values into the formula and calculate the force. F = (6.674 × 10^-11 N m^2/kg^2) (2,000 kg) × (4,000 kg)(80,000 m)^2 F = (6.674 × 10^-11) 8,000,000 kg^26,400,000,000 m^2 F = (6.674 × 10^-11) (8 × 10^6)/(6.4 × 10^9) N F = (6.674 × 10^-11) × (1.25 × 10^-3) N F = 8.3425 × 10^-14 N The gravitational force of attraction between objects A and B is 8.3425 × 10^-14 N.