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The escape speed of a projectile on the ...

The escape speed of a projectile on the earth's surface is 11.2 `km` `s^(-1)`. A body is projected out with thrice this speed. What is the speed of the body far away from the earth? Ignore the presence of the sun and other planets.

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To solve the problem, we will use the principle of conservation of energy. The total mechanical energy of the body at the surface of the Earth will be equal to the total mechanical energy of the body when it is far away from the Earth. ### Step-by-Step Solution: 1. **Identify the escape speed**: The escape speed from the Earth's surface is given as \( V_E = 11.2 \, \text{km/s} \). 2. **Calculate the initial speed of the body**: The body is projected with thrice the escape speed. Therefore, the initial speed \( V_0 \) of the body is: \[ ...
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NCERT-GRAVITATION-EXERCISE
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  2. Does the escape speed of a body from the earth depend on (a) the mass ...

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  3. A comet orbits the Sun in a highly elliptical orbit. Does the comet ha...

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  4. Which of the following symptoms is likely to afflict an astronaut in s...

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  6. For the above problem, the direction of the gravitational intensity at...

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  8. The mean orbital radius of the Earth around the Sun is 1.5 xx 10^8 km....

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  9. A Saturn year is 29.5 times that earth year. How far is the Saturn fro...

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  10. A body weighs 63 N on the surface of the earth. What is the gravitatio...

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  11. Assuming the earth to be a sphere of uniform mass density, how much wo...

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  12. A rocket is fired vertically with a speed of 5 kms^(-1) from the earth...

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  13. The escape speed of a projectile on the earth's surface is 11.2 km s^(...

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  14. A satellite orbits the earth at a height of 400 km, above the surface....

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  15. Two starts each of one solar mass (=2xx10^(30)kg) are approaching each...

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  16. Two heavy sphere each of mass 100 kg and radius 0.10 m are placed 1.0 ...

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  17. A geostationary satellite orbits the Earth at a height of nearly 36,00...

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  18. A star 2.5 times the mass of the sun and collapsed to a size of 12km r...

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  19. A spaceship is stationed on mars. How much energy must be expended on ...

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