1. Two spherical objects have equal masses and experience a gravitational force of 85 N towards one
another. Their centers are 36mm apart

All object in the universe attract each other on the basis of the masses and distance between them. The mass of the given particle is .

Universal law of gravitation:

It states that the all object in the universe attract each other on the basis of the masses and distance between them.

Where,

F=  force =  85 N

G=  gravitational constant =

m1=  mass of object 1 = ?

m2  =      mass of object 2 = ?

r=  distance between centers of the masses = 36 mm

As stated in the question,

m1 = m2 = m

Now, put the values in the formula,

Therefore, the mass of the given particle is .

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4.06 x 10⁴kg

Explanation:

Given parameters:

Gravitational force  = 85N

Distance or separation  = 36mm  = 0.036m

Unknown:

Their masses = ?

Solution:

Both of the spherical objects have the same mass as indicated by the object.

From the newton's law of universal gravitation:

      F  =  

F is the gravitational force

G is the universal gravitation constant  = 6.67 x 10⁻¹¹

m1 is the mass of object 1

m2 is the mass of object 2

r is the distance between them

Since m1  = m2 = m

So;

      85  =  

  Therefore;

               m   = 4.06 x 10⁴kg

scientific laws are the result of testing theories and proving them to be facts.