Q1. What is the gravitational force between two objects of mass 5 kg and 10 kg separated by a distance of 2 m? (G = 6.67 × 10^-11 N m²/kg²)
Solution:
Using the formula F = G * (m1 * m2) / r², we have F = (6.67 × 10^-11) * (5 * 10) / (2²) = 1.67 × 10^-10 N.
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Q2. If the radius of the Earth were to increase while keeping its mass constant, what would happen to the gravitational acceleration at the surface? (2023)
Solution:
Gravitational acceleration is inversely proportional to the square of the radius. If radius increases, g decreases.
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Q3. If the radius of the Earth were to increase while keeping its mass constant, what would happen to the gravitational acceleration at its surface?
Solution:
Gravitational acceleration g = GM/R². If R increases, g decreases.
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Q4. A satellite is in a circular orbit around the Earth. If its orbital radius is tripled, how does the gravitational force acting on it change?
Solution:
Gravitational force is inversely proportional to the square of the radius. If radius is tripled, force becomes 1/3² = 1/9.
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Q5. If the mass of the Earth were to double, what would happen to the gravitational force experienced by an object on its surface?
Solution:
Gravitational force is directly proportional to mass. If mass doubles, force also doubles.
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Q6. What is the gravitational force acting on a 50 kg object on the surface of the Earth?
Solution:
Weight W = m * g = 50 kg * 9.8 m/s² = 490 N.
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Q7. What is the gravitational force acting on a 50 kg object at the surface of the Earth?
Solution:
Weight = mass * g = 50 kg * 9.8 m/s² = 490 N
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Q8. If the mass of an object is tripled and the distance from the center of the Earth is halved, how does the gravitational force change?
Solution:
F ∝ m/r²; if m is tripled and r is halved, F = 3m/(1/4) = 12m, so it increases by a factor of 9.
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Q9. What is the gravitational force between two objects of mass m1 and m2 separated by a distance r? (2021)
Solution:
The gravitational force is given by Newton's law of gravitation: F = G * (m1 * m2) / r^2.
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Q10. Which of the following statements is true regarding gravitational fields? (2022)
Solution:
Gravitational fields are always attractive, pulling masses towards each other.
