10 questions · Form 4 Physics Bab 3: Gravitation
10 questions · plays in fullscreen
Prefer reading to quizzing? All 10 questions are listed below with the answer and explanation under each one.
1. A body of mass 2 kg moves in a circle of radius 0.5 m at a constant speed of 4 m s-1. What is the centripetal force required?
Answer: C
F_c = m v² / r = 2 × 4²0.5 = 2 × 160.5 = 642 = 32 N.
2. Which of Kepler's laws states that a planet sweeps out equal areas in equal intervals of time?
Answer: C
Kepler's Second Law (Law of Areas) states that a line segment joining a planet and the Sun sweeps out equal areas during equal intervals of time.
3. If Earth's radius is R, at what height h above Earth's surface is gravitational acceleration equal to g4?
Answer: A
g ∝ 1r². For g' = g4, the total radius from Earth's centre must double to 2R. Thus r = R + h = 2R => h = R.
4. What provides the centripetal force required to keep a satellite orbiting around the Earth?
Answer: B
The gravitational force exerted by the Earth on the satellite acts as the centripetal force maintaining the circular orbit.
5. Calculated from Earth's surface (M = 5.97 × 1024 kg, R = 6.37 × 106 m, G = 6.67 × 10-11 N m² kg-2, what is Earth's approximate escape velocity?
Answer: B
v_e = √[2 × 6.67 × 10-11 × 5.97 × 10246.37 × 106] ≈ 11,180 m s-1 ≈ 11.2 km s-1.
6. Calculate the linear orbital speed of a satellite orbiting Earth at an altitude where distance from Earth's centre is 7.0 × 106 m. (Earth's mass M = 6.0 × 1024 kg, G = 6.67 × 10-11 N m² kg-2
Answer: C
v = √(GM / r) = √[6.67 × 10-11 × 6.0 × 10247.0 × 106] = √5.717 × 107 ≈ 7.56 × 103 m s-1.
7. Why does an astronaut in an orbiting space station experience a feeling of weightlessness?
Answer: B
The astronaut and space station fall towards Earth at the same acceleration due to gravity, creating a weightless free-fall environment.
8. What is the shape of planetary orbits around the Sun according to Kepler's First Law?
Answer: B
Kepler's First Law states that all planets move in elliptical orbits with the Sun at one focus.
9. Two objects of mass 50 kg and 80 kg are placed 2 m apart. Calculate the gravitational force between them. (G = 6.67 × 10-11 N m² kg-2
Answer: A
F = G(m1)m2r² = 6.67 × 10-11 × 50 × 802² = 2.668 × 10-74 = 6.67 × 10-8 N.
10. What is the orbital period of a geostationary satellite?
Answer: C
A geostationary satellite has an orbital period identical to Earth's rotation period, which is 24 hours.