What is the formula for calculating gravitational force?

• A. F = m*a
• B. F = G(m1*m2)/r²
• C. F = m*v²/r
• D. F = p*v

Answer: (B)

The formula for calculating gravitational force is represented as ( F = \frac{G(m_1 \cdot m_2)}{r^2} ). This equation describes the gravitational attraction between two masses, where ( G ) is the gravitational constant, ( m_1 ) and ( m_2 ) are the masses of the two objects, and ( r ) is the distance between the centers of the two masses. This formula underscores the universal law of gravitation, indicating that every point mass attracts every other point mass with a force that is directly proportional to the product of their masses and inversely proportional to the square of the distance between them.

This formula is fundamental in understanding gravitational interactions, which vary with mass and distance, contrasting with the other options presented. The first option pertains to Newton's second law of motion, relating force to mass and acceleration. The third option describes centripetal force and is used for objects in circular motion, while the fourth option discusses momentum in relation to velocity, neither establishing a basis for gravitational force calculation. Thus, the correct answer reflects the specific principles governing gravitational interactions.