Home
Class 11
PHYSICS
(a) If gravitational field is given by v...

(a) If gravitational field is given by `vecE=-2xhati-3y^(2)hatj`. If gravitational potential is zero at `(0,0)`, find potential at `(1,2)`
(b) If gravitational potential is `V=x^(2)Y`, find gravitational field at `(1,2)`.

Text Solution

AI Generated Solution

To solve the given problem step by step, we will break it down into two parts as per the question. ### Part (a): Finding the Potential at (1, 2) 1. **Understanding the Gravitational Field**: The gravitational field is given by: \[ \vec{E} = -2x \hat{i} - 3y^2 \hat{j} ...
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

If gravitational potential is V = xy^(2) , find the gravitational field at (2,1)

If gravitational field is given by E -x hat(i) - 2 y^(2) hat(j) . When gravitational potential is zero ar (0,0) find potential cat (2,1)

The gravitational field in a region is given by vecE=-(20Nkg^(-1))(hati+hatj) . Find the gravitational potential at the origin (0,0) in J kg^(-1)

In some region, the gravitational field is zero. The gravitational potential in this region

Explain gravitational potential at a point and gravitational potential energy of a body in a gravitational field. Establish a relation between them.

Where is the gravitational field zero and where is the gravitational potential zero, in case of Earth?

Let V and E denote the gravitational potential and gravitational field at a point. It is possile to have

In a certain region of space gravitational field is given by I = - (k//r) . Taking the reference point to be at r = r_(0) , with gravitational potential V = V_(0) , find the gravitational potential at distance r .

Gravitational potential in a region is given by V = -(x+y+z) J/kg . Find the gravitational intensity at (2,2,2)

The gravitational potential due to a mass distribution is V=A/sqrt(x^2+a^2) . Find the gravitational field.

CP SINGH-GRAVITATION-EXERCISE
  1. (a) If gravitational field is given by vecE=-2xhati-3y^(2)hatj. If gra...

    Text Solution

    |

  2. Two identical copper spheres of radius R are in contact with each othe...

    Text Solution

    |

  3. Two sphere of masses m and M are situated in air and the gravitational...

    Text Solution

    |

  4. Two particles of equal mass 'm' go around a circle of radius R under t...

    Text Solution

    |

  5. Two point masses A and B having masses in the ratio 4:3 are separated ...

    Text Solution

    |

  6. If R is the radius of the earth and g the acceleration due to gravity ...

    Text Solution

    |

  7. Mass remaining constant, the radius of the earth shrinks by 1%. The ac...

    Text Solution

    |

  8. Two planets have the same average density but their radii are R(1) and...

    Text Solution

    |

  9. The density of a newly discovered planet is twice that of earth. The a...

    Text Solution

    |

  10. Acceleration due to gravity on moon is 1//6 of the acceleration due to...

    Text Solution

    |

  11. Consider a planet in some solar system which has a mass double the mas...

    Text Solution

    |

  12. Which graph correctley presents the variation of acceleration due to g...

    Text Solution

    |

  13. Let the acceleration due to gravity be g(1) at a height h above the ea...

    Text Solution

    |

  14. The weight of an object in the coal mine, sea level and at the top of ...

    Text Solution

    |

  15. Suppose the earth increases its speed of rotation . At what new time p...

    Text Solution

    |

  16. Suppose the acceleration due to gravity at earth's surface is 10ms^-2 ...

    Text Solution

    |

  17. Two bodies of masses m and 4m are placed at a distance r. The gravitat...

    Text Solution

    |

  18. Four particles each of mass m are placed at the vertices of a square o...

    Text Solution

    |

  19. Infinite number of masses, each of 1 kg, are placed along the x-axis a...

    Text Solution

    |

  20. A particle of mass M is placed at the centre of a uniform spherical sh...

    Text Solution

    |

  21. The magnitude of the gravitational field at distance r(1) and r(2) fro...

    Text Solution

    |