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Easy

Question

A mass M is split into two parts m and (M-m) and then they are separated by a certain distance. If the gravitational force between them is to be maximum.

  1. m equals M divided by 3
  2. m equals M divided by 4
  3. m equals M divided by 2
  4. m equals 0

The correct answer is: m equals M divided by 2


    F equals fraction numerator G left parenthesis M minus m right parenthesis m over denominator r squared end fraction
    fraction numerator d over denominator d m end fraction open square brackets fraction numerator G left parenthesis M minus m right parenthesis m over denominator r squared end fraction close square brackets equals 0
text  which gives  end text M minus 2 m equals 0 text  or  end text m equals M divided by 2

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