Home
Class 11
PHYSICS
An apple of mass 250 g falls from a tree...

An apple of mass 250 g falls from a tree. Calculate the acceleration of Earth towards the apple.
Mass of the Earth `=5.983xx10^(24)kg`
Radius of the Earth `=6.378xx10^(6)mandG=6.67xx10^(-11)Nm^(2)kg^(-2)`

Text Solution

Verified by Experts

Here m = 250, g = 0.250 kg,
`R=6.378xx10^(6)m`
Acceleration of Earth towards an apple
`a^(1)=(F)/(M)=(Gm)/(R^2)`
`=((6.67xx10^(-11))xx(0.25))/((6.378xx10^(6))^(2))`
`=4.1xx10^(-25)m//s^(2)`
Promotional Banner

Topper's Solved these Questions

  • GRAVITATION

    PREMIERS PUBLISHERS|Exercise OTHER IMPORTANT QUESTION & ANSWERS (CONCEPTUAL QUESTIONS)|34 Videos
  • GRAVITATION

    PREMIERS PUBLISHERS|Exercise OTHER IMPORTANT QUESTION & ANSWERS (LONG ANSWER QUESTIONS)|10 Videos
  • KINEMATICS

    PREMIERS PUBLISHERS|Exercise Other important questions & answers (V. Numerical problems).|166 Videos

Similar Questions

Explore conceptually related problems

A rocket is fired vertically with a speed of 5 km s^(-1) from the earth’s surface. How far from the earth does the rocket go before returning to the earth ? Mass of the earth = 6.0 x× 10^(24) kg, mean radius of the earth = 6.4 xx 10^(6) m , G = 6.67 xx 10^(-11) " N "m^(2) kg^(-2) .

A satellite orbits the earth at a height of 500km from its surface. Mass of the earth =6xx10^(24)kg Radius of the earth =6.4xx10^(6)m Mass of the satellite = 300kg G=6.67xx10^(-11)Nm^(2)kg^(-2) Calculate (i) kinetic energy (ii) potential energy and (iii) total energy of the satellite.

6xx10^(24)kg : Mass of the Earth :: 6.4xx10^(6)m : ______________.

A satellite orbits the earth at a height of 400 km above the surface. How much energy must be expended to rocket the satellite out of the earth’s gravitational influence? Mass of the satellite = 200 kg, mass of the earth = 6.0 ×x 10^(24) kg, radius of the earth = 6.4 xx 10^(6) m , G = 6.67 xx 10^(-11) N m^(2)) kg^(-2) .

Calculate the radius of the earth if the density of the earth is equal to the density of the nucleus. [mass of earth 5.97xx10^(24) kg].

Calculaste the gravitational force due to the Earth on Mahendra if mass of Earth is 6xx10^(24)kg Radius is 6.4xx10^(6)m,g=9.77m//s^(2) and mass of Mahendra is 75 kg.

PREMIERS PUBLISHERS-GRAVITATION-OTHER IMPORTANT QUESTION & ANSWERS (NUMERICAL PROBLEMS)
  1. Determine the speed with which the Earth would have to rotate on is ax...

    Text Solution

    |

  2. At a point above the surface of Earth, the gravitational potential is ...

    Text Solution

    |

  3. A remote sensing satellite of the Earth revolves in a circular orbit ...

    Text Solution

    |

  4. A body of mass 100 kg falls on the Earth from infinity. What will be i...

    Text Solution

    |

  5. What is the relation between height h and depth d for the same change ...

    Text Solution

    |

  6. A satellite orbits the earth at a height of 500km from its surface. Ma...

    Text Solution

    |

  7. A satellite revolves round a planet in an elliptical orbit. Its maximu...

    Text Solution

    |

  8. At what height from the surface of Earth the gravitational force will ...

    Text Solution

    |

  9. Two particles of equal mass m go round a circle of radius R under the ...

    Text Solution

    |

  10. On a planet whose size is the same and mass 4 times as that of the Ear...

    Text Solution

    |

  11. If a planet were suddenly stopped in its circular orbit, how much time...

    Text Solution

    |

  12. An apple of mass 250 g falls from a tree. Calculate the acceleration o...

    Text Solution

    |

  13. If the radius of the Earth were increased by a factor 5, by what facto...

    Text Solution

    |

  14. Find the percentage decrease in the weight of the body when taken to ...

    Text Solution

    |

  15. Determine the speed with which the Earth would have to rotate on is ax...

    Text Solution

    |

  16. At a point above the surface of Earth, the gravitational potential is ...

    Text Solution

    |

  17. A remote sensing satellite of the Earth revolves in a circular orbit ...

    Text Solution

    |

  18. A body of mass 100 kg falls on the Earth from infinity. What will be i...

    Text Solution

    |

  19. What is the relation between height h and depth d for the same change ...

    Text Solution

    |

  20. A satellite orbits the earth at a height of 500km from its surface. Ma...

    Text Solution

    |