Question

write the formula for
1) newtons universal law of gravitation force
2) acceleration due to gravity​

Answer 1

Answer:

Hope this helps you! Not my own but inspired from seniors answers and collected information.

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Explanation:

Universal Gravitation Equation

Newton’s conclusion about the magnitude of gravitational forces is summarized symbolically as

$F = G\frac{m_{1} m_{2} } {r^{2} }$

where,

  *F is the gravitational force between bodies

  *m1 is the mass of one of the objects

  *m2 is the mass of the second object

  *r is the distance between the centres of two objects

  *G is the universal gravitational constant

According to the universal law of gravitation,

$f = \frac {GmM} {(r+h)^2}$

Where,

   * f = force between two bodies,

   * G = universal gravitational constant (6.67×10-11 Nm2/kg2)

   * m = mass of the object,

   * M = mass of the earth,

   * r = radius of the earth.

   * h = height at which the body is from the surface of the earth.

As the height (h) is negligibly small compared to the radius of the earth we re-frame the equation as follows,

$f = \frac {GmM} {r^2}$

Now equating both the expressions,

$mg = \frac {GmM} {r^2}$

⇒ $g = \frac {GM} {r^2}$

Therefore, the formula of acceleration due to gravity is

$g = \frac {GM} {r^2}$

Note: It depends on the mass and radius of the earth.

Answer 2

Answer:

these your answers

I hope this helful