Gravitation
Q. What is the weight of a 10 kg object on the surface of a planet where g = 12 m/s²?
A.
120 N
B.
100 N
C.
80 N
D.
60 N
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Solution
Weight W = mg = 10 * 12 = 120 N.
Correct Answer: A — 120 N
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Q. What is the weight of a 10 kg object on the surface of the Earth? (g = 9.8 m/s²)
A.
9.8 N
B.
19.6 N
C.
98 N
D.
0.98 N
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Solution
Weight W = m * g = 10 kg * 9.8 m/s² = 98 N
Correct Answer: B — 19.6 N
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Q. What is the work done in moving a mass from a point A to point B in a uniform gravitational field?
A.
Depends on the path taken
B.
Zero
C.
Equal to the change in gravitational potential energy
D.
Equal to the gravitational force times distance
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Solution
The work done is equal to the change in gravitational potential energy, which depends on the initial and final positions.
Correct Answer: C — Equal to the change in gravitational potential energy
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Q. What is the work done in moving an object from a point A to point B in a uniform gravitational field?
A.
Depends on the path taken
B.
Zero
C.
Depends on the mass of the object
D.
Depends on the height difference
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Solution
The work done in moving an object in a uniform gravitational field depends only on the height difference between points A and B.
Correct Answer: D — Depends on the height difference
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Q. What is the work done in moving an object from one point to another in a gravitational field?
A.
Depends on the path taken
B.
Is always zero
C.
Depends only on the initial and final positions
D.
Is maximum at the highest point
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Solution
The work done in moving an object in a gravitational field depends only on the initial and final positions, not the path taken.
Correct Answer: C — Depends only on the initial and final positions
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Q. What type of orbit does a satellite in a geosynchronous orbit have?
A.
Elliptical orbit
B.
Circular orbit
C.
Parabolic orbit
D.
Hyperbolic orbit
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Solution
A geosynchronous satellite typically has a circular orbit to maintain a constant position relative to the Earth's surface.
Correct Answer: B — Circular orbit
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Q. Which of the following correctly describes gravitational field lines?
A.
They point away from the mass.
B.
They are always straight lines.
C.
They never intersect.
D.
They can be closed loops.
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Solution
Gravitational field lines never intersect because it would imply two different gravitational forces acting on the same point.
Correct Answer: C — They never intersect.
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Q. Which of the following correctly describes gravitational potential energy?
A.
It is a scalar quantity.
B.
It is a vector quantity.
C.
It can be negative.
D.
Both A and C.
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Solution
Gravitational potential energy is a scalar quantity and can be negative when the object is within the gravitational field of another mass.
Correct Answer: D — Both A and C.
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Q. Which of the following correctly describes the gravitational field strength at a distance r from a mass M?
A.
g = GM/r
B.
g = GM/r²
C.
g = Gm/r²
D.
g = Gm/r
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Solution
The gravitational field strength (g) at a distance r from a mass M is given by g = GM/r².
Correct Answer: B — g = GM/r²
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Q. Which of the following correctly describes the gravitational force between two objects?
A.
It depends on the medium between them
B.
It is independent of the distance between them
C.
It is proportional to the product of their masses
D.
It can be shielded by other masses
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Solution
The gravitational force is proportional to the product of the masses of the two objects.
Correct Answer: C — It is proportional to the product of their masses
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Q. Which of the following correctly describes the gravitational force?
A.
It is always attractive
B.
It can be repulsive
C.
It acts only at short distances
D.
It is stronger than electromagnetic force
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Solution
The gravitational force is always attractive and acts over long distances, though it is weaker than the electromagnetic force.
Correct Answer: A — It is always attractive
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Q. Which of the following correctly describes the relationship between gravitational potential and gravitational field?
A.
Potential is the derivative of field.
B.
Field is the derivative of potential.
C.
Both are independent.
D.
They are equal.
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Solution
The gravitational field is the negative gradient of gravitational potential.
Correct Answer: B — Field is the derivative of potential.
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Q. Which of the following factors does NOT affect the gravitational force acting on a satellite?
A.
Mass of the satellite
B.
Mass of the Earth
C.
Distance from the center of the Earth
D.
Speed of the satellite
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Solution
The gravitational force depends on the masses of the objects and the distance between them, but not on the speed of the satellite.
Correct Answer: D — Speed of the satellite
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Q. Which of the following factors does NOT affect the gravitational force between a satellite and the Earth?
A.
Mass of the satellite
B.
Mass of the Earth
C.
Distance between the satellite and the Earth
D.
Speed of the satellite
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Solution
The gravitational force depends on the masses and the distance, but not on the speed of the satellite.
Correct Answer: D — Speed of the satellite
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Q. Which of the following factors does NOT affect the gravitational force on a satellite?
A.
Mass of the satellite
B.
Mass of the Earth
C.
Distance from the center of the Earth
D.
Speed of the satellite
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Solution
The gravitational force on a satellite depends on its mass, the mass of the Earth, and the distance from the center of the Earth, but not on the speed of the satellite.
Correct Answer: D — Speed of the satellite
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Q. Which of the following factors does NOT affect the orbital period of a satellite?
A.
Mass of the satellite
B.
Height of the orbit
C.
Mass of the Earth
D.
Gravitational constant
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Solution
The mass of the satellite does not affect the orbital period; it is determined by the height of the orbit and the mass of the Earth.
Correct Answer: A — Mass of the satellite
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Q. Which of the following factors does NOT affect the orbital speed of a satellite?
A.
Mass of the satellite
B.
Mass of the Earth
C.
Radius of the orbit
D.
Gravitational constant
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Solution
The mass of the satellite does not affect its orbital speed; it is determined by the mass of the Earth and the radius of the orbit.
Correct Answer: A — Mass of the satellite
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Q. Which of the following is a characteristic of a polar orbiting satellite?
A.
It orbits above the equator
B.
It has a fixed position relative to the Earth
C.
It passes over the poles
D.
It is used for communication
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Solution
A polar orbiting satellite passes over the poles, allowing it to cover the entire surface of the Earth over time.
Correct Answer: C — It passes over the poles
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Q. Which of the following is a consequence of Newton's law of gravitation?
A.
The orbits of planets are elliptical
B.
Masses repel each other
C.
Gravitational force is a vector quantity
D.
All objects fall at the same rate in a vacuum
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Solution
Newton's law of gravitation leads to the conclusion that the orbits of planets are elliptical, as described by Kepler's laws.
Correct Answer: A — The orbits of planets are elliptical
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Q. Which of the following is a consequence of the law of universal gravitation?
A.
The orbits of planets are elliptical
B.
All objects fall at the same rate in a vacuum
C.
Gravity is a contact force
D.
Mass does not affect gravitational attraction
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Solution
The law of universal gravitation leads to the conclusion that the orbits of planets are elliptical, as described by Kepler's laws.
Correct Answer: A — The orbits of planets are elliptical
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Q. Which of the following is NOT a characteristic of a satellite in a stable orbit?
A.
It experiences no net force.
B.
It moves with constant speed.
C.
It has a constant distance from the Earth.
D.
It is in free fall.
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Solution
A satellite in a stable orbit does experience a net force (gravitational force), but it is in free fall, moving with constant speed along a curved path.
Correct Answer: A — It experiences no net force.
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Q. Which of the following is true about the escape velocity from the surface of the Earth?
A.
It is independent of the mass of the object
B.
It is dependent on the mass of the Earth
C.
It is dependent on the radius of the Earth
D.
All of the above
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Solution
Escape velocity is independent of the mass of the object, but it depends on the mass and radius of the Earth.
Correct Answer: D — All of the above
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Q. Which of the following is true about the period of a satellite in a low Earth orbit compared to a satellite in a geostationary orbit?
A.
The period is longer for the low Earth orbit
B.
The period is shorter for the low Earth orbit
C.
The periods are the same
D.
The period depends on the satellite's mass
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Solution
A satellite in a low Earth orbit has a shorter orbital period compared to a geostationary satellite due to its closer proximity to Earth.
Correct Answer: B — The period is shorter for the low Earth orbit
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Q. Which of the following is true about the period of a satellite in a low Earth orbit compared to a satellite in a high Earth orbit?
A.
The period is longer for low Earth orbit
B.
The period is shorter for low Earth orbit
C.
The periods are the same
D.
It depends on the satellite's mass
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Solution
The period of a satellite in a low Earth orbit is shorter than that of a satellite in a high Earth orbit due to the stronger gravitational pull.
Correct Answer: B — The period is shorter for low Earth orbit
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Q. Which of the following is true for a satellite in a low Earth orbit?
A.
It has a very high orbital speed
B.
It has a very low orbital speed
C.
It does not experience any gravitational force
D.
It is not affected by atmospheric drag
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Solution
A satellite in a low Earth orbit has a very high orbital speed due to the proximity to the Earth and the gravitational pull.
Correct Answer: A — It has a very high orbital speed
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Q. Which of the following orbits allows a satellite to cover the entire surface of the Earth over time?
A.
Geostationary orbit
B.
Polar orbit
C.
Circular orbit
D.
Elliptical orbit
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Solution
A polar orbit allows a satellite to pass over the entire surface of the Earth as the Earth rotates beneath it.
Correct Answer: B — Polar orbit
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Q. Which of the following orbits is used for weather satellites?
A.
Geostationary orbit
B.
Polar orbit
C.
Elliptical orbit
D.
Low Earth orbit
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Solution
Weather satellites typically use polar orbits to cover the entire surface of the Earth as the planet rotates beneath them.
Correct Answer: B — Polar orbit
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Q. Which of the following statements about geostationary satellites is true?
A.
They orbit the Earth in a polar orbit
B.
They have a period of 24 hours
C.
They are closer to the Earth than low Earth orbit satellites
D.
They can be used for global positioning
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Solution
Geostationary satellites have an orbital period equal to the Earth's rotation period, which is 24 hours.
Correct Answer: B — They have a period of 24 hours
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Q. Which of the following statements about gravitational potential energy (U) is true?
A.
U increases as two masses move closer together
B.
U decreases as two masses move closer together
C.
U is always positive
D.
U is independent of distance
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Solution
Gravitational potential energy decreases as two masses move closer together, as U = -G * (m1 * m2) / r.
Correct Answer: B — U decreases as two masses move closer together
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Q. Which of the following statements about gravitational potential energy is true?
A.
It is always positive.
B.
It can be negative.
C.
It is independent of the reference point.
D.
It increases with distance.
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Solution
Gravitational potential energy can be negative depending on the reference point chosen.
Correct Answer: B — It can be negative.
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