Gravitation

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
Q. If the mass of the Earth were to double, what would happen to the gravitational force between two objects on its surface?
  • A. It would double
  • B. It would remain the same
  • C. It would be halved
  • D. It would quadruple
Q. If the mass of the Earth were to double, what would happen to the gravitational force it exerts on an object at 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
Q. If the mass of the Earth were to double, what would happen to the gravitational force between the Earth and an object on its surface?
  • A. It would double
  • B. It would remain the same
  • C. It would halve
  • D. It would quadruple
Q. If the mass 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 be halved
  • D. It would be quartered
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
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
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
Q. If the radius of the Earth is 6400 km, what is the total distance from the center of the Earth to a satellite in a geostationary orbit? (2000)
  • A. 36000 km
  • B. 42000 km
  • C. 32000 km
  • D. 28000 km
Q. If the radius of the Earth is doubled, what will be the change in gravitational acceleration at its surface?
  • A. It will double
  • B. It will remain the same
  • C. It will be halved
  • D. It will increase by 4 times
Q. If the radius of the Earth is doubled, what will be the change in gravitational force experienced by an object on its surface?
  • A. It will double
  • B. It will remain the same
  • C. It will be halved
  • D. It will be quartered
Q. If the radius of the Earth is R and a satellite is in a circular orbit at a height h above the Earth's surface, what is the expression for the orbital speed v of the satellite?
  • A. v = sqrt(GM/(R+h))
  • B. v = sqrt(GM/R)
  • C. v = sqrt(GM/(R-h))
  • D. v = sqrt(GM/(R^2 + h^2))
Q. If the radius of the Earth is R and a satellite is in a geostationary orbit, what is the height of the satellite above the Earth's surface?
  • A. R/2
  • B. R
  • C. R/3
  • D. R/4
Q. If the radius of the Earth is R and a satellite is in a low Earth orbit at a height h, what is the expression for the gravitational force acting on the satellite?
  • A. G * M * m / (R + h)^2
  • B. G * M * m / R^2
  • C. G * M * m / (R - h)^2
  • D. G * M * m / (R + h)
Q. If the radius of the Earth is R, what is the gravitational acceleration at a height R above the Earth's surface?
  • A. g/4
  • B. g/2
  • C. g
  • D. g/8
Q. If the radius of the Earth is R, what is the radius of a satellite in a geostationary orbit?
  • A. R
  • B. 2R
  • C. 3R
  • D. 4R
Q. If the radius of the Earth were to double, what would happen to the gravitational acceleration at its surface?
  • A. It would double
  • B. It would remain the same
  • C. It would be halved
  • D. It would be quartered
Q. If the radius of the Earth were to double, what would happen to the gravitational force experienced by a satellite in low Earth orbit?
  • A. It would double
  • B. It would remain the same
  • C. It would decrease to one-fourth
  • D. It would increase to four times
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
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
Q. If the radius of the Earth were to shrink to half its size while keeping its mass constant, what would happen to the gravitational acceleration at the surface?
  • A. It doubles
  • B. It halves
  • C. It remains the same
  • D. It quadruples
Q. If the radius of the orbit of a satellite is doubled, what happens to its orbital speed?
  • A. It remains the same
  • B. It doubles
  • C. It increases by a factor of √2
  • D. It decreases by a factor of √2
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
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
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
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
Q. In a gravitational field, the potential energy of an object is maximum at which point?
  • A. At the surface of the Earth
  • B. At infinity
  • C. At the center of the Earth
  • D. At the highest point in the field
Q. In which of the following scenarios does a satellite experience weightlessness?
  • A. When it is stationary on the ground
  • B. When it is in free fall
  • C. When it is at rest in space
  • D. When it is moving at constant speed
Q. The gravitational field inside a uniform spherical shell is:
  • A. Zero
  • B. Constant
  • C. Increases linearly
  • D. Decreases linearly
Q. The gravitational field strength at the surface of a planet is 9.8 N/kg. What is the gravitational potential at the surface if the radius of the planet is 6.4 x 10^6 m?
  • A. -62.72 x 10^6 J/kg
  • B. -9.8 J/kg
  • C. -19.6 x 10^6 J/kg
  • D. -39.2 x 10^6 J/kg
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