the force, F newtons (N) between two particles is inversely proportional to the square of the distance, d m, between them. When th

Question

the force, F newtons (N) between two particles is inversely proportional to the square of the distance, d m, between them. When the particles are 2m apart,
the force between them is 10 N. Find
1- the force between the particles when they are 5m apart,
2- the distance between the particles when the force between them is 25 N.

thienthanh · Answer

The  force  is 1.6N and the  distance  between them is 1.3 meters    The force between them  An  inverse variation  from  force  to the square of  distance  is represented s:  k = Fd^2    Where k represents the  variation constant     When F = 10, d = 2.  So, we have:  k = 10 * 2^2  k = 40    Substitute k = 40 in k = Fd^2  Fd^2 = 40    When d = 5, we have:  F * 5^2 = 40    This gives  25F = 40    Divide by 25  F = 1.6    Hence, the  force  is 1.6N    The distance between them  In (a), we have:  Fd^2 = 40    When F = 25, we have:  25 * d^2 = 40    This gives  25d^2 = 40    Divide by 25  d^2 = 1.6    Take the square root of both sides  d = 1.3    Hence, the  distance  between them is 1.3 meters    Read more about  variation  at:  https://brainly.com/question/14254277    #SPJ1

The force between them

The distance between them

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