Gravitation

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Using F = Gm₁m₂/r² F = (6.67 × 10⁻¹¹ × 50 × 40)/(1)² F = 1.334 × 10⁻⁸ N This extremely weak force shows why we don't notice gravitational attraction between ordinary objects.

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The gravitational force between objects of ordinary mass is extremely weak due to the very small value of G (6.67 × 10⁻¹¹). This force is millions of times weaker than other forces we experience daily…

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The gravitational force becomes 1/4th (one-fourth) of the original force. Since F ∝ 1/r², when distance doubles (2r), the force becomes F/(2)² = F/4. This inverse square relationship is crucial in und…

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Using v² = u² + 2gs Initial velocity u = 0 v² = 0 + 2 × 10 × 45 v² = 900 v = 30 m/s The stone hits the ground with a velocity of 30 m/s.

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In vacuum, both experience the same acceleration due to gravity (g = 9.8 m/s²) regardless of their mass. Without air resistance, gravitational acceleration is independent of mass. The heavier stone ex…

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Weight = mg = 5 × 9.8 = 49 N Weight is the gravitational force acting on an object. Unlike mass (which remains constant), weight can vary with location due to changes in gravitational acceleration.

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The astronaut and spacecraft are in free fall toward Earth with the same acceleration. Since there's no contact force between the astronaut and spacecraft floor, the weighing scale would read zero. Th…

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Every particle in the universe attracts every other particle with a force proportional to the product of their masses and inversely proportional to the square of distance between them. F = Gm₁m₂/r² Wh…