DIGITAL LESSONS > A-LEVEL GRAVITATIONAL FIELD

Gravitational Field

You’ll learn about Newton’s Law of Universal Gravitation, gravitational field lines, orbits, and satellite dynamics. From escape speeds to potential gradients, this chapter unveils the profound principles of gravitational physics.

 

👨🏻‍🏫5 Lessons * 2 Hours/Week

💻25 Conceptual Videos & 40 Example Question Videos

Mastery Practices

🟩Easy

A mass m is at fixed point Q. It produces a gravitational potential at point P, distant r from Q.

This gravitational potential is equal to the external work done on unit mass in moving it

A
from P to Q
C
from P to infinity
B
from Q to P
D
from infinity to P
Video Explanation

Answer

🟩Easy

The Earth has a mass of 5.97 ×10²⁴ kg and a radius of 6370 km. What is the difference in gravitational potential between the Earth’s surface and a point at an altitude of 3000 km?

A
5.28 J kg ⁻¹
C
7.02 × 10⁷ J kg ⁻¹
B
2.00 × 10⁷ J kg ⁻¹
D
6.25 × 10⁸ J kg ⁻¹
Video Explanation

Answer

🟩Easy

Two isolated masses m₁ and m₂ are separated by a distance r.

Which expression gives the gravitational field strength caused by m₁ at m₂?

Video Explanation

Answer

🟨Medium

The gravitational field strength outside a uniform sphere of mass M is the same as that of a point mass M at the centre of the sphere. The Earth, which may be assumed to be spherical and of radius r, has a gravitational field strength g at its surface.

Which expression gives the gravitational field strength at a height h above the ground?

Video Explanation

Answer

🟨Medium

The figure below shows the gravitational potential near the surface of the asteroid 951 Gaspra. Determine the mass of the asteroid.

 

A
1.00 x 10 ¹⁶ kg
B
2.00 x 10 ¹⁶ kg
C
3.00 x 10 ¹⁶ kg
D
4.00 x 10 ¹⁶ kg
Video Explanation

Answer

🟨Medium

A boy can jump to a maximum height of on the surface of Earth. If he were on another planet whose radius is four times that of Earth’s, and density is only half that of Earth’s, determine the maximum height the boy can attain when he jumps.

Video Explanation

Answer

🟨Medium

A satellite of mass 50 kg moves from a point where the gravitational potential due to the Earth is -20 MJ kg ⁻¹, to another point where the gravitational potential is -60 MJ kg ⁻¹.

In which direction does the satellite move and what is its change in potential energy?

A
closer to the Earth and a loss of 2000 MJ of potential energy
B
closer to the Earth and a loss of 40 MJ of potential energy
C
further from the Earth and a gain of 2000 MJ of potential energy
D
further from the Earth and a gain of 40 MJ of potential energy
Video Explanation

Answer

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