A plant moving along an elliptical orbit is closet to the Sun at a distance r₁ and farthest away at a distance of r₂ . If V₁ and V₂ are the linear velocities at these points respectively, then find the ratio v_1/v₂

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If the earth be at one half of its present distance from the sun, them how many days will be there in  a year?

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Calculate the force of attraction between two bodies, each of mass 100 kg 1 m apart on the surface of the earth.

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The acceleration due to gravity on a planet is 1.96\({ ms }^{ -2 }\). If it is safe to jump from a height of 2m on the earth, then what will be the corresponding safe height on the planet?

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Does the concentration of the earth's mass near its centre change the variation of g with height compared with a homogeneous sphere, how?

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The escape speed on the earth is 11.2 km/s.What is its value for a planet having double the radius and eight times the mass of the earth?

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Does the change in gravitational potential energy of a body between two given points depends upon the nature of path followed, why?

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The mount everest is 8848 m above sea level. Estimate the acceleration due to gravity at this height, given that mean g on the surface of the earth is 9.8\({ m }/s^{ 2 }\)

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What will be the value of g at the bottom of sea 7km deep?Diameter of the earth is 12800 km and g on the surface of the earth is 9.8\({ m }/s^{ 2 }\)

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Give two uses of polar satellites.

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Two artificial satellites, one of mass 400 kg and another of mass 2500 kg, are set in the same orbit around a planet. What is the ratio of their (i) orbital velocities, (ii) time periods?

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Can we determine the gravitational mass of a body inside on artificial satellite?

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What is the time period of revolution of polar satellite of Earth?

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A satellite is orbiting around the Earth with a speed v. To make the satellite escape, what is the minimum percentage increase in its speed?

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If a satellite is revolving around a planet of density \(\rho\), show that the entity \(\rho\) T² is a universal constant. When a satellite is orbiting close to earth, then

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