Q1 · medium · AI-verified
Newton's Law of Gravitation states that the gravitational force between two masses is proportional to the product of the masses and inversely proportional to:
- Distance between them
- Square root of the distance between them
- Square of the distance between them
- Cube of the distance between them
Q2 · medium · AI-verified
If the radius of Earth is suddenly halved (mass remaining constant), the acceleration due to gravity on its surface would become:
- 4g
- g/4
- 2g
- g/2
Q3 · medium · AI-verified
What is the escape velocity from the surface of Earth? (Given: g = 9.8 m/s², R = 6.4 × 10⁶ m)
- 8.5 km/s
- 9.8 km/s
- 11.2 km/s
- 7.9 km/s
Q4 · hard · AI-verified
The binding energy of a satellite of mass m in a circular orbit of radius r around Earth (mass M) is:
- GMm/r
- GMm/(4r)
- 2GMm/r
- GMm/(2r)
Q5 · hard · AI-verified
At what height above Earth's surface will the value of acceleration due to gravity be 25% of its surface value? (Take Earth's radius R)
- 2R
- R
- 3R
- R/2