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Calculate the speed of Jupiter if the ma...

Calculate the speed of Jupiter if the mass of Jupiter is `1.9 xx 10^(27) kg`. Distance from the sun is `7.8 xx 10^(11)m` and the mass of the sun is `2 xx 10^(30) kg`.

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To calculate the speed of Jupiter as it revolves around the Sun, we can use the concept of gravitational force and centripetal force. Here’s a step-by-step solution: ### Step 1: Understand the Forces Involved Jupiter is held in its orbit around the Sun by the gravitational force exerted by the Sun. This gravitational force also acts as the centripetal force required to keep Jupiter in its circular orbit. ### Step 2: Write the Formula for Gravitational Force The gravitational force \( F_g \) between two masses (the Sun and Jupiter) is given by: \[ ...
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MODERN PUBLICATION-GRAVITATION-Revision Exercises (Numerical Problems )
  1. A body of mass 30 kg attracts another body of mass 20 kg with force F....

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  2. Calculate the speed of Jupiter if the mass of Jupiter is 1.9 xx 10^(27...

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  3. How will the acceleration due to gravity change if the radius of earth...

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  4. The mass of a body is 60 kg on the surface of earth. How much will it ...

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  5. At what height above the surface of earth, the acceleration due o to g...

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  6. How much below the earth's surface the acceleration due to gravity red...

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  7. What will be percentage decrease in weight of body when taken to the d...

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  8. Calculate the change in weight of a 20 kg body, when it is taken from ...

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  9. At what height from the surface of earth the value of g is same as at ...

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  10. What will be acceleration due to gravity on a planet whose mass is 4 t...

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  11. Moon takes nearly 27 days to revolve around earth. If the mass od moon...

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  12. A planet of mass m is revolving around the sun in an elliptical orbit....

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  13. Two planets A and B are at distances of 10^(9) m and 10^(11) m from th...

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  14. What will be gravitational intensity (I) and gravitational potential (...

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  15. A satellite is revolving around the earth in a circular orbit of radiu...

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  16. What is the maximum height attained by a body projected with a velocit...

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  17. Two satellites S(1) and S(2) are revolving around a planet P in circul...

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  18. The mass of Saturn is 95 times that of earth and radius is 9.5 times t...

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  19. Three mass points each of mass m are placed at the vertices of an equi...

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