Home
Class 12
PHYSICS
Two uniform solid spheres of equal radii...

Two uniform solid spheres of equal radii `R`, but mass `M`. and `4 M` have a centre to centre separation `6 R`, as shown in the figure. The two spheres are held fixed. A projectile of mass `m` is projected from the surface of the sphere of mass `M` directly towards the center of the second sphere. If the minimum speed `v` of the projectile so that it reaches the surface of the second sphere is `sqrt((x G M)/(y R))`, then find `(x,+y)`.
'(##CEN_KSR_PHY_JEE_C10_038_Q05##)'

Text Solution

Verified by Experts

The correct Answer is:
8
Promotional Banner

Topper's Solved these Questions

  • GEOMETRICAL OPTICS

    CENGAGE PHYSICS|Exercise Integer Type|4 Videos
  • HEATING EFFECT OF CURRENT

    CENGAGE PHYSICS|Exercise Thermal Power in Resistance Connected in Circuit|28 Videos

Similar Questions

Explore conceptually related problems

Two uniform soild spheres of equal radii R but mass M and 4M have a centre to centre separation 6 R , as shows in Fig. (a) The two spheres are held fixed. A projectile of mass m is projected from the surface of the sphere of mass M directly towards the centre of teh second. Obtain an expression for the minimum speed upsilon of the projectile so that it reaches the surface of second sphere.

Suppose two planets (spherical in shape) of radii R and 2R, but mass M and 9 M respectively have a centre to centre separation 8 R as shown in the figure. A satellite of mass 'm' is projected from the surface of the planet of mass 'M' directly towards the centre of the second planet. The minimum speed 'v' required for the satellite to reach the surface of the second planet is sqrt((a)/(7) (GM)/(R )) then the value of 'a' is ________. [Given : The two planets are fixed in their position]

If a particle of mass 'm' is projected from a surface of bigger sphere of mass '16M' and radius '2a' then find out the minimum velocity of the particle such that the particle reaches the surface of the smaller sphere of mass M and radius 'a'. Given that the distance between the centres of two spheres is 10 a.

The gravitational field due to an uniform solid sphere of mass M and radius a at the centre of the sphere is

Two stars of masses M and 4M have radii x and 3x respectively. The distance between centres of two stars is 12x. A body of mass m is fired from the surface of bigger sphere towards smaller sphere. Find the minimum initial speed (in terms of G, x, M) required to reach the surface of smaller star.

A solid sphere of mass M and radius R is pulled by a force F as shown in figure . If the sphere does not slip over the surface , then frictional force acting on the sphere is

Two solid spherical planets of equal radii R having masses 4M and 9M their centre are separated by a distance 6R. A projectile of mass m is sent from theplanet of mass 4 M towards the heavier planet. What is the distance r of the point from the lighter planet where the gravitational force on the projectille is zero ?

Find the moment of inertia of a sphere about a tangent to the sphere, while the mass of the sphere is M and the radius of the sphere is R.

CENGAGE PHYSICS-GRAVITATION-Question Bank
  1. A body is projected vertically upward from. the surface of the earth.w...

    Text Solution

    |

  2. The ratio of escape velocity at the earth (v(e)) to the escape velocit...

    Text Solution

    |

  3. Escape velocity for a projectile at the earth's surface is v(e^(+)) A ...

    Text Solution

    |

  4. The gravitational force between two identical uniform solid-gold spher...

    Text Solution

    |

  5. At what height from the surface of earth the gravitation potential and...

    Text Solution

    |

  6. A particle is projected upward from the surface of the earth (radius R...

    Text Solution

    |

  7. A spherical cavity of radius (R)/(2) is made in a sphere of radius R a...

    Text Solution

    |

  8. Calculate the energy needed for moving a mass of 4 kg from the centre ...

    Text Solution

    |

  9. On a hypothetical planet, satellite can only revolve in quantized ener...

    Text Solution

    |

  10. A satellite is fired from the surface of the moon of mass M and radius...

    Text Solution

    |

  11. The minimum speed should m be projected from point P in the presence o...

    Text Solution

    |

  12. A particle is projected vertically upward the surface of the earth (ra...

    Text Solution

    |

  13. A particle is projected from point A, which is at a distance 4 R from ...

    Text Solution

    |

  14. Assuming that the earth hąs constant density, at what distance d (in (...

    Text Solution

    |

  15. Two solid spherical planets of equal radii R have masses 4 M and 9 M. ...

    Text Solution

    |

  16. Consider a nebula in the form of a ring of radius R and mass M. A star...

    Text Solution

    |

  17. The figure below shows a spherical shell of mass M -and radius R in a ...

    Text Solution

    |

  18. Two uniform solid spheres of equal radii R, but mass M. and 4 M have a...

    Text Solution

    |

  19. A body which is initially at rest at a height h=6400 km above the surf...

    Text Solution

    |

  20. Gravitational acceleration on the surface of a planet is (sqrt(6))/(g)...

    Text Solution

    |