Newtons Law of 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. 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 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 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 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 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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Q. If the Earth were to suddenly shrink to half its radius while maintaining its mass, what would happen to the gravitational force at its surface?
A.
It would double
B.
It would remain the same
C.
It would become half
D.
It would become four times stronger
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Solution
The gravitational force at the surface is inversely proportional to the square of the radius. If the radius is halved, the force becomes four times stronger.
Correct Answer: D — It would become four times stronger
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Q. If the mass of the Earth is 6 x 10^24 kg and the radius is 6.4 x 10^6 m, what is the gravitational force on a 1 kg mass at the surface?
A.
9.8 N
B.
6.67 N
C.
10 N
D.
8.9 N
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Solution
Using F = G * (m1 * m2) / r^2, F = (6.67 x 10^-11) * (6 x 10^24 * 1) / (6.4 x 10^6)^2 = 9.8 N.
Correct Answer: A — 9.8 N
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Q. If the mass of the Earth is 6 x 10^24 kg and the radius is 6.4 x 10^6 m, what is the gravitational acceleration at the surface of the Earth?
A.
9.8 m/s²
B.
10 m/s²
C.
9.81 m/s²
D.
11 m/s²
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Solution
Using g = G * M / R², where G = 6.67 x 10^-11 N m²/kg², M = 6 x 10^24 kg, and R = 6.4 x 10^6 m, we find g ≈ 9.8 m/s².
Correct Answer: A — 9.8 m/s²
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Q. If the mass of the Earth is 6 × 10^24 kg and its radius is 6.4 × 10^6 m, what is the acceleration due to gravity at its surface?
A.
9.8 m/s²
B.
10 m/s²
C.
9.81 m/s²
D.
8.9 m/s²
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Solution
g = G * M / R² = (6.67 × 10^-11) * (6 × 10^24) / (6.4 × 10^6)² = 9.81 m/s²
Correct Answer: C — 9.81 m/s²
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Q. If the mass of the Earth is M and its radius is R, what is the gravitational acceleration at the surface of the Earth?
A.
g = GM/R^2
B.
g = GMR^2
C.
g = G/MR^2
D.
g = MR/G
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Solution
The gravitational acceleration at the surface of the Earth is given by g = GM/R^2.
Correct Answer: A — g = GM/R^2
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Q. If the mass of the Earth is M and the radius is R, what is the gravitational acceleration at the surface of the Earth?
A.
g = GM/R^2
B.
g = GMR^2
C.
g = G/R
D.
g = M/R^2
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Solution
The gravitational acceleration at the surface of the Earth is given by g = GM/R^2.
Correct Answer: A — g = GM/R^2
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Q. If the mass of the Earth were to double while the radius remains the same, what would happen to the weight of an object on its surface?
A.
It would double
B.
It would remain the same
C.
It would increase by a factor of four
D.
It would decrease by half
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Solution
Weight is proportional to mass; thus, if the Earth's mass doubles, the weight of an object on its surface also doubles.
Correct Answer: A — It would double
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Q. If the mass of the Earth were to increase while the radius remains constant, what would happen to the gravitational force experienced by an object on its surface?
A.
It would decrease
B.
It would increase
C.
It would remain the same
D.
It would become zero
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Solution
If the mass of the Earth increases, the gravitational force experienced by an object on its surface would increase.
Correct Answer: B — It would increase
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Q. If the radius of a planet is halved while keeping its mass constant, how does the gravitational acceleration at its surface 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 radius is halved, the gravitational acceleration becomes four times stronger, as g is inversely proportional to the square of the radius.
Correct Answer: A — It becomes four times stronger
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Q. If the radius of a planet is halved, what happens to the gravitational acceleration on its surface?
A.
It doubles
B.
It halves
C.
It becomes one-fourth
D.
It remains the same
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Solution
g ∝ 1/R². If R is halved, g becomes 4 times greater.
Correct Answer: A — It doubles
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Q. If the radius of the Earth were to double, what would happen to the weight of an object on its surface?
A.
It would double
B.
It would remain the same
C.
It would become four times less
D.
It would become four times more
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Solution
Weight is proportional to 1/r^2; if the radius doubles, the weight becomes four times less.
Correct Answer: C — It would become four times less
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Q. If the radius of the Earth were to increase by a factor of 2, 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 become one-fourth
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Solution
Gravitational acceleration is inversely proportional to the square of the radius. If the radius doubles, g becomes 1/(2^2) = 1/4 of the original value.
Correct Answer: C — It would halve
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Q. If two objects are moved closer together, what happens to the gravitational force between them?
A.
It decreases
B.
It increases
C.
It remains constant
D.
It becomes zero
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Solution
As the distance between two masses decreases, the gravitational force increases according to the inverse square law.
Correct Answer: B — It increases
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Q. If two objects are moved to a distance of half their original separation, 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
Show solution
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 two objects are placed at a distance of 1 m apart, what is the gravitational force between them if both have a mass of 1 kg?
A.
6.67 x 10^-11 N
B.
9.8 x 10^-11 N
C.
1.67 x 10^-11 N
D.
0 N
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Solution
F = G * (m1 * m2) / r^2 = (6.67 x 10^-11) * (1 * 1) / (1^2) = 6.67 x 10^-11 N.
Correct Answer: A — 6.67 x 10^-11 N
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Q. If two objects are placed in space, how does the gravitational force between them change if the distance is halved?
A.
It becomes half
B.
It becomes double
C.
It becomes four times stronger
D.
It remains the same
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Solution
If the distance is halved, the gravitational force increases by a factor of four, as it is inversely proportional to the square of the distance.
Correct Answer: C — It becomes four times stronger
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Q. Two objects of masses 3 kg and 4 kg are placed 1 m apart. What is the gravitational force between them? (G = 6.67 × 10^-11 N m²/kg²)
A.
8.01 × 10^-11 N
B.
8.01 × 10^-10 N
C.
8.01 × 10^-9 N
D.
8.01 × 10^-8 N
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Solution
F = G * (m1 * m2) / r² = (6.67 × 10^-11) * (3 * 4) / (1²) = 8.01 × 10^-11 N
Correct Answer: A — 8.01 × 10^-11 N
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Q. What happens to the gravitational force between two masses if one mass is tripled?
A.
It triples
B.
It doubles
C.
It remains the same
D.
It increases by a factor of 9
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Solution
The gravitational force is directly proportional to the product of the masses. If one mass is tripled, the force also triples.
Correct Answer: A — It triples
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Q. What happens to the gravitational force between two masses if the distance between them is tripled?
A.
It triples
B.
It becomes one-third
C.
It becomes one-ninth
D.
It remains the same
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Solution
The gravitational force is inversely proportional to the square of the distance. If the distance is tripled, the force becomes 1/(3^2) = 1/9 of the original force.
Correct Answer: C — It becomes one-ninth
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Q. What happens to the gravitational force between two objects if one object's mass is tripled?
A.
It triples
B.
It halves
C.
It remains the same
D.
It increases by a factor of 9
Show solution
Solution
The gravitational force is directly proportional to the product of the masses. If one mass is tripled, the force also triples.
Correct Answer: A — It triples
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