Gravitation: Universal Law, Free Fall & Orbits: 18 MCQs

All 18 multiple-choice questions from this kit, free and with no sign-up.

Warm-up · 8 questions

Q1. Which statement best describes the nature of the gravitational force between two masses?

Beginner
A It is always repulsive.
B It acts only when the masses touch.
C It can be attractive or repulsive.
D It is always attractive.

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Q2. The gravitational force between two objects is $F$. If the distance between them is doubled, the new force is:

Beginner
A $F/2$
B $4F$
C $F/4$
D $2F$

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Q3. The SI unit of the universal gravitational constant $G$ is:

Beginner
A $\text{m/s}^2$
B $\text{N m}^2/\text{kg}^2$
C $\text{N kg}^2/\text{m}^2$
D $\text{N/kg}$

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Q4. An astronaut in orbit feels weightless because:

Beginner
A The spacecraft is beyond Earth's gravity.
B Gravity is zero in space.
C The astronaut has no mass in orbit.
D The astronaut and spacecraft are in free fall together.

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Q5. A body has mass 10 kg on Earth. What is its mass on the Moon?

Beginner
A About 1.6 kg
B 10 kg
C About 98 kg
D Zero

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Q6. Which quantity is a force?

Beginner
A Gravitational constant $G$
B Weight
C Acceleration due to gravity $g$
D Mass

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Q7. The value of $g$ at Earth's surface is approximately:

Beginner
A $6.67 \times 10^{-11}\ \text{m/s}^2$
B $7.9\ \text{m/s}^2$
C $9.8\ \text{m/s}^2$
D $11.2\ \text{m/s}^2$

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Q8. Newton's law of universal gravitation states $F = G m_1 m_2 / r^2$, with $G = 6.67 \times 10^{-11}\ \text{N m}^2/\text{kg}^2$.

Beginner
A True
B False

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Building up · 5 questions

Q9. A satellite is in a low circular orbit around Earth. Its orbital speed is about:

Intermediate
A $9.8\ \text{km/s}$
B $11.2\ \text{km/s}$
C $7.9\ \text{km/s}$
D $3.0 \times 10^8\ \text{km/s}$

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Q10. The gravitational force between two masses is $F$. If both masses are doubled and the distance is halved, the new force is:

Intermediate
A $8F$
B $2F$
C $4F$
D $16F$

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Q11. Why does the Moon not crash into Earth?

Intermediate
A Earth's gravity does not reach the Moon.
B The Moon is repelled by Earth.
C The Moon has enough tangential speed to keep missing Earth as it falls.
D The Moon is outside the solar system's gravity.

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Q12. A 1 kg book rests on a table. The gravitational force between Earth and the book is approximately:

Intermediate
A $98\ \text{N}$
B $6.67 \times 10^{-11}\ \text{N}$
C $1\ \text{N}$
D $9.8\ \text{N}$

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Q13. A feather and a hammer are dropped on the Moon. What happens?

Intermediate
A The feather lands first because it is lighter.
B The hammer lands first because it is heavier.
C They land at the same time because there is no air resistance.
D Neither falls because the Moon has no gravity.

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Topper level · 5 questions

Q14. The gravitational force between two everyday objects is negligible mainly because:

Advanced
A The objects have no mass.
B $G$ is extremely small.
C The distance between them is zero.
D Gravity is repulsive for small masses.

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Q15. A satellite is moved from Earth's surface to an altitude equal to Earth's radius. By what factor does the gravitational force on it change?

Advanced
A It becomes one-quarter of the surface value.
B It remains the same.
C It becomes double the surface value.
D It becomes one-half of the surface value.

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Q16. Which observation most directly supports the inverse-square law of gravitation?

Advanced
A Objects fall to the ground when released.
B The weight of an object is proportional to its mass.
C The gravitational force is always attractive.
D The Moon's orbital period and its distance from Earth satisfy $T^2 \propto r^3$.

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Q17. A satellite is in a low circular orbit around Earth at an altitude of 400 km. Calculate the gravitational force acting on a 1000 kg satellite. Use the formula $$F = G \frac{m_1 m_2}{r^2}$$ where $m_1 = 6 \times 10^{24}\ \text{kg}$ (mass of Earth), $m_2 = 1000\ \text{kg}$ (mass of the satellite), and $r = R + h$ with $R = 6.4 \times 10^6\ \text{m}$ (radius of Earth) and $h = 400 \times 10^3\ \text{m}$ (altitude).

Advanced
A 49 N
B 9.8 N
C 98 N
D 24.5 N

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Q18. Using Kepler's third law, if a planet orbits a star at a distance of 2 AU (astronomical units), what is the ratio of its orbital period squared to the cube of its semi-major axis? Assume the star's mass is similar to that of the Sun. Express your answer in terms of the formula $$T^2 \propto a^3$$.

Advanced
A 9
B 4
C 1
D 8

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