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Q.

Force between two masses of 1 kg each, are separated by a distance 1 meter will be:


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a

6.67 × 10-11 N

b

9.8 N

c

6.67 × 10-8 N

d

6.67 × 10-12 N 

answer is A.

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Detailed Solution

Force between two masses of 1 kg each, are separated by a distance 1 meter will be 6.67 × 10-11 N.
Given,
Mass of two bodies is equal.
So, m1= m2=1 kg
Distance between them, r=1 meter
And gravitational constant, G= 6.67 × 10-11 Nm2kg-2
“Universal law of gravitation states that the force of attraction between two bodies of mass m1 and m2 which are kept at a distance d from each other is directly proportional to the product of masses and it is inversely proportional to the square of the distance in which they are kept.”
i.e., F α m1 m2  and F α 1d2
or, combining these, we may write, F=Gm1 m2d2
Putting the values in the above equation, we get
So, F= 6.67 × 10-11 1 ×112
  F= 6.67 × 10-11 N
 
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