Mechanics - Gravitation

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Q1. 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.

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Q2. 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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Q3. The escape velocity from the surface of the Earth is approximately: (2019)

Solution:

The escape velocity from the surface of the Earth is approximately 11.2 km/s.

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Q4. 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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Q5. 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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Q6. The gravitational force is a: (2023)

Solution:

Gravitational force acts at a distance without any physical contact between the masses.

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Q7. What is the acceleration due to gravity at the surface of the Earth? (2022)

Solution:

The standard acceleration due to gravity at the surface of the Earth is approximately 9.81 m/s².

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Q8. What is the gravitational potential energy of a 2 kg mass at a height of 10 m above the ground? (Take g = 9.8 m/s²) (2023)

Solution:

Gravitational potential energy (U) = mgh = 2 kg * 9.8 m/s² * 10 m = 196 J.

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Q9. 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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Q10. 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.