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A body is projected upwards with a veloc...

A body is projected upwards with a velocity of `4 xx 11.2 "km s"^(-1)` from the surface of earth.What will be the velocity of the body when it escapes from the gravitational pull of earth ?

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To solve the problem of finding the velocity of a body when it escapes from the gravitational pull of the Earth, we will use the principle of conservation of mechanical energy. Here’s a step-by-step solution: ### Step 1: Understand the Problem We have a body projected upwards with an initial velocity \( v_0 = 4 \times 11.2 \, \text{km/s} \). We need to find its velocity when it escapes Earth's gravitational pull. ### Step 2: Conservation of Mechanical Energy According to the conservation of mechanical energy, the total mechanical energy (kinetic + potential) at the surface of the Earth will equal the total mechanical energy at an infinite distance from the Earth. ...
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DC PANDEY-GRAVITATION-(C) Chapter Exercises
  1. A body is projected upwards with a velocity of 4 xx 11.2 "km s"^(-1) f...

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  2. Starting from the centre of the earth having radius R, the variation o...

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  3. A satellite of mass m is orbiting the earth (of radius R) at a height ...

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  4. At what height from the surface of earth the gravitation potential and...

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  5. The ratio of escape velocity at earth (v(e)) to the escape velocity at...

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  6. Kepler's third law states that square of period revolution (T) of a pl...

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  7. The reading of a spring balance corresponds to 100 N while situated at...

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  8. The gravitational field due to an uniform solid sphere of mass M and r...

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  9. What would be the value of acceleration due to gravity at a point 5 km...

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  10. Two particles of equal mass (m) each move in a circle of radius (r) un...

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  11. What would be the escape velocity from the moon, it the mass of the mo...

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  12. Two spheres of masses 16 kg and 4 kg are separated by a distance 30 m ...

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  13. Orbital velocity of an artificial satellite does not depend upon

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  14. Gravitational potential energy of body of mass m at a height of h abov...

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  15. According to Kepler's law of planetary motion, if T represents time pe...

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  16. If mass of a body is M on the earth surface, then the mass of the same...

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  17. Two spherical bodies of masses m and 5m and radii R and 2R respectivel...

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  18. The force of gravitation is

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  19. Dependence of intensity of gravitational field (E) of earth with dista...

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  20. Keeping the mass of the earth as constant, if its radius is reduced to...

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  21. A body of mass m is raised to a height 10 R from the surface of the ea...

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