Gravitation
Q. How does the gravitational force between two objects change if both masses are doubled?
A.
It becomes four times stronger
B.
It becomes twice as strong
C.
It remains the same
D.
It becomes half as strong
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Solution
Doubling both masses results in a fourfold increase in gravitational force, as it is directly proportional to the product of the masses.
Correct Answer: A — It becomes four times stronger
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Q. How does the gravitational force between two objects change if the distance between them is halved?
A.
It doubles
B.
It quadruples
C.
It remains the same
D.
It halves
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Solution
According to Newton's law of gravitation, if the distance is halved, the force increases by a factor of 4 (F ∝ 1/r²).
Correct Answer: B — It quadruples
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Q. How does the gravitational force between two objects change if the mass of one object is tripled?
A.
It triples
B.
It doubles
C.
It remains the same
D.
It increases by a factor of nine
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Solution
Gravitational force is directly proportional to the product of the masses. Tripling one mass triples the force.
Correct Answer: A — It triples
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Q. How does the gravitational potential change as you move away from a planet?
A.
It increases.
B.
It decreases.
C.
It remains constant.
D.
It oscillates.
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Solution
The gravitational potential decreases as you move away from a planet.
Correct Answer: B — It decreases.
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Q. How does the gravitational potential energy of a system of two masses change as they move closer together?
A.
It increases.
B.
It decreases.
C.
It remains constant.
D.
It becomes zero.
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Solution
The gravitational potential energy decreases as the two masses move closer together.
Correct Answer: B — It decreases.
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Q. How does the gravitational potential energy of an object change when it is lifted to a height 'h' above the ground?
A.
It decreases.
B.
It increases.
C.
It remains the same.
D.
It becomes zero.
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Solution
The gravitational potential energy increases as the object is lifted to a height 'h' above the ground.
Correct Answer: B — It increases.
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Q. If a satellite is in a geostationary orbit, what is its orbital period?
A.
24 hours
B.
12 hours
C.
6 hours
D.
1 hour
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Solution
A geostationary satellite has an orbital period equal to the Earth's rotation period, which is 24 hours.
Correct Answer: A — 24 hours
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Q. If a satellite is in a stable orbit, what can be said about the net force acting on it?
A.
It is zero
B.
It is equal to the gravitational force
C.
It is equal to the centripetal force
D.
It is equal to the sum of gravitational and centripetal forces
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Solution
In a stable orbit, the net force acting on the satellite is zero because the gravitational force provides the necessary centripetal force.
Correct Answer: A — It is zero
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Q. If a satellite is launched into a higher orbit, how does its potential energy change compared to its initial orbit?
A.
It decreases
B.
It remains the same
C.
It increases
D.
It becomes zero
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Solution
The potential energy of a satellite increases when it is moved to a higher orbit due to the increase in distance from the Earth's center.
Correct Answer: C — It increases
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Q. If a satellite is moved to a higher orbit, what happens to its orbital period?
A.
It decreases.
B.
It increases.
C.
It remains the same.
D.
It becomes zero.
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Solution
The orbital period of a satellite increases when it is moved to a higher orbit, according to Kepler's third law.
Correct Answer: B — It increases.
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Q. If a satellite is moving in a circular orbit, what is the relationship between its centripetal acceleration and gravitational acceleration?
A.
Centripetal = Gravitational
B.
Centripetal > Gravitational
C.
Centripetal < Gravitational
D.
No relationship
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Solution
For a satellite in a stable circular orbit, the centripetal acceleration is equal to the gravitational acceleration.
Correct Answer: A — Centripetal = Gravitational
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Q. If a satellite is moving in a circular orbit, what type of energy does it possess?
A.
Only kinetic energy
B.
Only potential energy
C.
Both kinetic and potential energy
D.
Neither kinetic nor potential energy
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Solution
A satellite in a circular orbit possesses both kinetic energy due to its motion and potential energy due to its position in the gravitational field.
Correct Answer: C — Both kinetic and potential energy
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Q. If a satellite's altitude is doubled, how does its orbital speed change?
A.
Increases by √2
B.
Decreases by √2
C.
Remains the same
D.
Increases by 2
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Solution
If a satellite's altitude is doubled, its orbital speed decreases by √2.
Correct Answer: B — Decreases by √2
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Q. If a satellite's altitude is increased, what happens to its orbital period?
A.
It decreases
B.
It increases
C.
It remains constant
D.
It becomes zero
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Solution
As the altitude increases, the orbital period increases due to the greater distance from the Earth's center.
Correct Answer: B — It increases
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Q. If a satellite's speed is greater than the escape velocity, what will happen?
A.
It will enter a stable orbit
B.
It will escape Earth's gravitational pull
C.
It will crash into the Earth
D.
It will remain in a circular orbit
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Solution
If a satellite's speed exceeds the escape velocity, it will escape Earth's gravitational pull and move away into space.
Correct Answer: B — It will escape Earth's gravitational pull
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Q. If a satellite's speed is less than the required orbital speed, what will happen?
A.
It will remain in orbit.
B.
It will fall back to Earth.
C.
It will escape into space.
D.
It will move to a higher orbit.
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Solution
If a satellite's speed is less than the required orbital speed, it will not have enough centripetal force to maintain its orbit and will fall back to Earth.
Correct Answer: B — It will fall back to Earth.
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Q. If an object is moved to a height equal to the radius of the Earth, how does the gravitational force acting on it change?
A.
It becomes half
B.
It becomes one-fourth
C.
It remains the same
D.
It becomes zero
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Solution
At a height equal to the radius of the Earth, the gravitational force becomes one-fourth of its value at the surface.
Correct Answer: B — It becomes one-fourth
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Q. If the distance between two masses is doubled, how does the gravitational force between them change?
A.
It becomes four times weaker
B.
It becomes twice as strong
C.
It remains the same
D.
It becomes half as strong
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Solution
According to the inverse square law, if the distance is doubled, the force becomes 1/(2^2) = 1/4 of the original force.
Correct Answer: A — It becomes four times weaker
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Q. If the distance between two masses is doubled, how does the gravitational force change?
A.
It becomes four times weaker
B.
It becomes twice weaker
C.
It remains the same
D.
It becomes four times stronger
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Solution
According to the inverse square law, if the distance is doubled, the force becomes 1/(2^2) = 1/4, or four times weaker.
Correct Answer: A — It becomes four times weaker
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Q. If the distance between two masses is halved, how does the gravitational force between them change?
A.
It remains the same
B.
It doubles
C.
It quadruples
D.
It halves
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Solution
F = G * (m1 * m2) / r², if r is halved, F increases by a factor of 4.
Correct Answer: C — It quadruples
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Q. If the distance between two masses is halved, how does the gravitational force change?
A.
It becomes four times stronger
B.
It becomes twice stronger
C.
It remains the same
D.
It becomes half as strong
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Solution
If the distance is halved, the force becomes 1/(1/2)^2 = 4 times stronger.
Correct Answer: A — It becomes four times stronger
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Q. If the distance between two masses is tripled, how does the gravitational force change?
A.
It becomes 1/3
B.
It becomes 1/9
C.
It becomes 1/6
D.
It remains the same
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Solution
F ∝ 1/r²; if r is tripled, F becomes F/9.
Correct Answer: B — It becomes 1/9
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Q. If the distance between two objects is doubled, how does the gravitational force between them change?
A.
It doubles
B.
It halves
C.
It becomes one-fourth
D.
It remains the same
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Solution
Gravitational force F ∝ 1/r². If r is doubled, F becomes F/4.
Correct Answer: C — It becomes one-fourth
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Q. If the distance from a mass is doubled, how does the gravitational field strength change?
A.
It doubles.
B.
It halves.
C.
It becomes one-fourth.
D.
It becomes one-eighth.
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Solution
The gravitational field strength is inversely proportional to the square of the distance, so it becomes one-fourth.
Correct Answer: C — It becomes one-fourth.
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Q. If the distance from the center of the Earth is doubled, how does the gravitational potential change?
A.
It doubles.
B.
It halves.
C.
It becomes zero.
D.
It quadruples.
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Solution
The gravitational potential is inversely proportional to the distance, so if the distance is doubled, the potential halves.
Correct Answer: B — It halves.
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Q. If the distance from the center of the Earth is doubled, how does the gravitational field strength change?
A.
It doubles.
B.
It halves.
C.
It becomes zero.
D.
It quadruples.
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Solution
The gravitational field strength varies inversely with the square of the distance, so if the distance is doubled, the field strength becomes 1/4.
Correct Answer: B — It halves.
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Q. If the distance from the center of the Earth is doubled, what happens to the gravitational field strength?
A.
It doubles.
B.
It halves.
C.
It becomes one-fourth.
D.
It becomes zero.
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Solution
The gravitational field strength varies inversely with the square of the distance from the center of the Earth, so if the distance is doubled, the field strength becomes one-fourth.
Correct Answer: C — It becomes one-fourth.
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Q. If the Earth were to suddenly shrink in size but maintain its mass, what would happen to the gravitational force at its surface?
A.
It would increase
B.
It would decrease
C.
It would remain the same
D.
It would become zero
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Solution
If the Earth shrinks in size while maintaining its mass, the gravitational force at the surface would increase due to the decrease in radius.
Correct Answer: A — It would increase
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Q. If the Earth were to suddenly shrink to half its radius while keeping its mass constant, what would happen to the gravitational force at its surface?
A.
It would remain the same
B.
It would double
C.
It would become half
D.
It would become four times stronger
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Solution
If the radius is halved, the gravitational force increases by a factor of 4, since F = GM/R^2.
Correct Answer: D — It would become four times stronger
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Q. If the Earth were to suddenly shrink to half its radius while keeping its mass constant, what would happen to the gravitational acceleration at its surface?
A.
It would double
B.
It would remain the same
C.
It would halve
D.
It would quadruple
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Solution
If the radius is halved, the gravitational acceleration would increase by a factor of 4 (g ∝ 1/R²).
Correct Answer: A — It would double
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