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Gravitational potential energy is negative at the surface of Earth.
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Important Questions on Gravitation
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The change in potential energy when a body of mass is raised to a height from the earth's surface is (radius of earth),
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From a solid sphere of mass and radius a spherical portion of radius is removed as shown in the figure. Taking gravitational potential at the potential at the centre of the cavity thus formed is (gravitational constant)
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A mass '' on the surface of the Earth is shifted to a target equal to the radius of the Earth. If '' is the radius and '' is the mass of the Earth, then work done in this process is:
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A satellite of mass is launched vertically upwards with an initial speed from the surface of the earth. After it reaches height ( radius of the earth), it ejects a rocket of mass so that subsequently the satellite moves in a circular orbit. The kinetic energy of the rocket is ( is the gravitational constant; is the mass of the earth):
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A uniform cable of mass and length is placed on a horizontal surface such that its part is hanging below the edge of the surface. To lift the hanging part of the cable upto the surface, the work done should be:
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The energy required to take a satellite to a height
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A rocket has to be launched from earth in such a way that it never returns. If is the minimum energy delivered by the rocket launcher, what should be the minimum energy that the launcher should have, if the same rocket is to be launched from the surface of the moon? Assume that the density of the earth and the moon are equal and that the earth's volume is times the volume of the moon.
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Two bodies, each of mass , are kept fixed with a separation of . A particle of mass is projected from the midpoint of the line joining their centers, perpendicular to the line. The gravitational constant is . The correct statement (s) is (are) :
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Two bodies of masses and are placed at a distance . The gravitational potential at a point on the line joining them, where the gravitational field is zero, is
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Consider a planet moving in an elliptical orbit around the Sun. The work done on the planet by the gravitational force of the Sun:
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If is acceleration due to gravity on the earth's surface, then the gain in the potential energy of an object of mass raised from the surface of the earth to height equal to the radius of the earth is
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Diagram shows the variation of energy with the orbit radius of a satellite in a circular motion. Mark the correct statement.
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Which of the following are correct?
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The mass of a spaceship is 1000 kg. It is to be launched from the earth's surface out into free space. The value of g and R (radius of earth) are and 6400 km respectively. The required energy for this work will be
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The gravitational field due to a mass distribution is defined
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Gravitational potential energy is _____ at the surface of Earth.
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Three mass each are kept at corner of a equilateral triangle and are rotating under effect of mutual gravitational force.
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The radius and mass of earth are increased by Which of the following statements are true at the surface of the earth?
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Inside a uniform spherical shell,
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At surface of earth potential energy of a particle is and potential is . Change in potential energy and potential at height are suppose and . Then.
