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Two spherical bodies of mass M and 5 M and radii R and 2R released in free space with initial separation between their centres equal to 12 R. If they attract each other due to gravitational force only, then the distance covered by smaller body before collision is

  • Option 1)

    4.5 R

  • Option 2)

    7.5 R

  • Option 3)

    1.5 R

  • Option 4)

    2.5 R

 

Answers (2)

best_answer

As we learnt

Properties of Gravitational Force -

(i) Always attractive

(ii) It is central force

(iii) Weakest force

 

- wherein

Ratio of  F_{g}; ; to ; ; F_{e}  between two electrons  is 10^{-43}

 As their centre of mass remains unchanged 

Mx_{1}=5mx_{2}   or  x_{1}=5x_{2}

x_{1}+x_{2}=9R

x_{1}=7.5 R


Option 1)

4.5 R

Incorrect Option

Option 2)

7.5 R

Correct Option

Option 3)

1.5 R

Incorrect Option

Option 4)

2.5 R

Incorrect Option

Posted by

Aadil

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7.5R

Posted by

Gajal Joshi

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