Mechanics - Gravitation

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Q1. The gravitational potential energy of an object is defined as: (2023)

Solution:

Gravitational potential energy is defined as the work done against gravity to move an object to a height.

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Q2. What is the gravitational field strength at a distance r from a mass M? (2022)

Solution:

The gravitational field strength (g) at a distance r from a mass M is given by g = GM/r^2.

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Q3. The gravitational potential energy of an object of mass m at a height h is given by: (2022)

Solution:

Gravitational potential energy is calculated using the formula U = mgh.

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Q4. Which of the following is the correct expression for gravitational potential energy (U) of an object of mass m at a height h? (2020)

Solution:

The gravitational potential energy is given by U = mgh, where h is the height above the reference point.

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Q5. The gravitational force is a function of which of the following? (2023)

Solution:

The gravitational force depends on the masses of the objects and the distance between them, as per Newton's law of gravitation.

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Q6. The gravitational potential energy of an object of mass m at a height h is given by which formula? (2023)

Solution:

The gravitational potential energy is given by the formula U = mgh.

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Q7. If the distance between two masses is doubled, what happens to the gravitational force between them? (2020)

Solution:

According to the inverse square law, if the distance is doubled, the force becomes 1/(2^2) = 1/4 of the original force.

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Q8. Which planet has the highest gravitational acceleration? (2020)

Solution:

Jupiter has the highest gravitational acceleration among the planets in our solar system, approximately 24.79 m/s².

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Q9. The gravitational force between two objects is 10 N. If the distance between them is tripled, what will be the new force? (2022)

Solution:

If the distance is tripled, the force becomes F/9, which is approximately 1.11 N.

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Q10. If the mass of the Earth were to double while its radius remains the same, what would happen to the acceleration due to gravity? (2022)

Solution:

If the mass of the Earth doubles, the acceleration due to gravity also doubles, as it is directly proportional to mass.