Question

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

Answer 1

Answer:

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  = $\frac{G m1 m2}{r^{2} }$  

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  = $\frac{6.67 x 10^{-11} x m^{2} }{0.036^{2} }$  

  Therefore;

               m   = 4.06 x 10⁴kg

Answer 2

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 $\bold {4.06 x 10^4kg}$.

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.

$\bold{F=G{\frac{m_1m_2}{r^2}}}$

Where,

F =  force =  85 N

G =  gravitational constant = $\bold{6.67 x 10\\^-^1^1}$

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,

$\bold { 85 = \dfrac {6.67\times 10^-^1^1 \times m^2}{0.036^2}}\\\\\bold { m = 4.06 x 10^4kg}$

Therefore, the mass of the given particle is $\bold {4.06 x 10^4kg}$.

To know more about universal law of gravitation, refer to the link:

https://brainly.com/question/858421