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The gravitational field in a region is g...

The gravitational field in a region is given by `E=(2veci+vecj)Nkg^-1` show that no work is done by the gravitational field when particle is move on the line `3y+2x=5`.

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`3y+2x=5 implies y=-2/3x+5/3`
`tan theta=-(2//3)`

Gravitational field along the straight line `3y+2x=5`
`E'=2cos(90- theta)-2cos theta`
`=3sin theta-2 cos theta`
`=3xx2/(sqrt(13))-2xx3/(sqrt(13))=0`
`W=mE'=0`
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CP SINGH-GRAVITATION-EXERCISE
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  4. Two particles of equal mass 'm' go around a circle of radius R under t...

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  5. Two point masses A and B having masses in the ratio 4:3 are separated ...

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  6. If R is the radius of the earth and g the acceleration due to gravity ...

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  7. Mass remaining constant, the radius of the earth shrinks by 1%. The ac...

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  8. Two planets have the same average density but their radii are R(1) and...

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  9. The density of a newly discovered planet is twice that of earth. The a...

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  10. Acceleration due to gravity on moon is 1//6 of the acceleration due to...

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  11. Consider a planet in some solar system which has a mass double the mas...

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  12. Which graph correctley presents the variation of acceleration due to g...

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  13. Let the acceleration due to gravity be g(1) at a height h above the ea...

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  14. The weight of an object in the coal mine, sea level and at the top of ...

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  15. Suppose the earth increases its speed of rotation . At what new time p...

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  16. Suppose the acceleration due to gravity at earth's surface is 10ms^-2 ...

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  17. Two bodies of masses m and 4m are placed at a distance r. The gravitat...

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  18. Four particles each of mass m are placed at the vertices of a square o...

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  19. Infinite number of masses, each of 1 kg, are placed along the x-axis a...

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  20. A particle of mass M is placed at the centre of a uniform spherical sh...

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  21. The magnitude of the gravitational field at distance r(1) and r(2) fro...

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