acceleration due to gravity and escape velocity questions with solutions

Showing 1–10 of 43 questions

• MCQeasyGravitationacceleration due to gravity and escape velocity

  At a height h above Earth's surface, g equals its value at a depth d below the surface. For h, d≪R and uniform Earth density, approximately:

  Options

  • Option A

    d=h

  • Option B

    d=2h

  • Option C

    h=2d

  • Option D

    d=4h

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• Multi-correctmediumGravitationacceleration due to gravity and escape velocity

  A planet has the same mean density as Earth but twice Earth's radius. Which statements are correct?

  Select all that apply

  • Option A

    Surface g is twice Earth's

  • Option B

    Escape speed is twice Earth's

  • Option C

    Surface potential magnitude is four times Earth's

  • Option D

    Mass is eight times Earth's

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• MCQeasyGravitationacceleration due to gravity and escape velocity

  A 90 kg body placed at 2R distance from surface of earth experiences gravitational pull of: (R = Radius of earth, g = 10 m s⁻²)

  Options

  • Option A

    300 N

  • Option B

    225 N

  • Option C

    120 N

  • Option D

    100 N

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• Multi-correctmediumGravitationacceleration due to gravity and escape velocity

  A planet has the same average density as Earth but radius 2$R_E.$ Compared with Earth, which statements are correct?

  Select all that apply

  • Option A

    Surface g is twice

  • Option B

    Escape speed is twice

  • Option C

    Escape speed is 2√2 times

  • Option D

    Magnitude of surface gravitational potential is four times

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• MCQeasyGravitationacceleration due to gravity and escape velocity

  To project a body of mass m from earth's surface to infinity, the required kinetic energy is (assume, the radius of earth is Rₑ, g = acceleration due to gravity on the surface of earth) :

  Options

  • Option A

    2mgRₑ

  • Option B

    mgRₑ

  • Option C

    ½mgRₑ

  • Option D

    4mgRₑ

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• NumericeasyGravitationacceleration due to gravity and escape velocity

  At height h=R above Earth's surface, the acceleration due to gravity is g₀/n, where g₀ is surface gravity. Find n.

  Your answer

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• MCQmediumGravitationacceleration due to gravity and escape velocity

  Two planets A and B have radii R and 1.5R and densities ρ and ρ/2 respectively. The ratio of acceleration due to gravity at the surface of B to that at A is:

  Options

  • Option A

    2 : 3

  • Option B

    2 : 1

  • Option C

    4 : 3

  • Option D

    3 : 4

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  13 April 2023 Evening Shift

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• MCQmediumGravitationacceleration due to gravity and escape velocity

  At what distance above and below the surface of the earth a body will have same weight, (take radius of earth as R.)

  Options

  • Option A

    (√5 - 1)R

  • Option B

    (√3 - 1)R/2

  • Option C

    R/2

  • Option D

    (√5 - 1)R/2

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• MCQmediumGravitationacceleration due to gravity and escape velocity

  A planet has mass 16Mₑ and radius 4Rₑ, where Mₑ and Rₑ are the mass and radius of Earth. The ratio of its escape speed to Earth's escape speed is:

  Options

  • Option A

    4 : 1

  • Option B

    2 : 1

  • Option C

    1 : √2

  • Option D

    1 : 4

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• MCQeasyGravitationacceleration due to gravity and escape velocity

  The acceleration due to gravity on the surface of earth is g. If the diameter of earth reduces to half of its original value and mass remains constant, then acceleration due to gravity on the surface of earth would be :

  Options

  • Option A

    g/4

  • Option B

    2g

  • Option C

    g/2

  • Option D

    4g

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