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  • Stuck here, help me understand: The work done to raise a mass m from the surface of the earth to a height h, which is equal to the radius of the earth is :

The work done to raise a mass m from the surface of the earth to a height h, which is equal to the radius of the earth is : 

 

  • Option 1)

    mgR 

  • Option 2)

    2 mgR 

  • Option 3)

    1/2 mgR 

  • Option 4)

    3/2 mgR 

 

Answers (1)

U_s = \frac{- Gmm}{R } \\\\ U_p = \frac{- Gmm}{2R } \\\\ \Delta U = \frac{Gmm}{R } \left ( 1- \frac{1}{2} \right ) = \\\\ \Delta U = \frac{1}{2} \frac{Gmm}{R} \\\\ W = \Delta U = \frac{1 G mmR}{2 R*R} = \frac{1}{2}mgR


Option 1)

mgR 

Option 2)

2 mgR 

Option 3)

1/2 mgR 

Option 4)

3/2 mgR 

Posted by

Vakul

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