Mechanics - Gravitation

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Q1. 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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Q2. The gravitational potential energy of an object of mass m at height h is given by which formula? (2023)

Solution:

The gravitational potential energy is given by the formula U = mgh, where m is mass, g is acceleration due to gravity, and h is height.

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Q3. Which of the following factors does NOT affect the gravitational force between two masses? (2023)

Solution:

The color of the objects does not affect the gravitational force between them.

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Q4. 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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Q5. Which of the following correctly describes the relationship between gravitational force and mass? (2019)

Solution:

The gravitational force is directly proportional to the product of the masses of the two objects.

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Q6. 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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Q7. 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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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. Which of the following factors does NOT affect the gravitational force between two objects? (2021)

Solution:

The shape of the objects does not affect the gravitational force; only mass and distance do.