Question

HII GUYS PLEASE HELP ME IT'S URGENT....
UNIVERSAL LAW OF GRAVITATION DERIVATION ??? CLASS 9th ....

Answer 1

✔️✔️️The universal law of gravitation states that:-

⭕️ every object in the universe attracts every other object with a force called the gravitational force.

⭕️The force acting between two objects is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers.

✔️✔️consider this example :-

⭕️️Two objects of masses m1 and m2.

⭕️ between them r

⭕️the force (F) of attraction acting between them is given by the universal law of gravitation as:-

⭕️⭕️f=G m1 m2 / r²

✔️✔️G=universal gravitation constant.

✔️✔️Value is G= 6.67×10^-11 Nm^2/kg^2 

✔️✔️derivation :-

F  ∝  m 1 m 2 

F  ∝  1/r²

✴️✴️Or✴️✴

️ F = Gm 1 m 2 /r ²

G= 6.67 × 10 -11 Nm² /kg ²

$\huge\bf{\boxed {\red{\mathfrak{thank \: you :)}}}}$

Answer 2

$\huge\mathfrak\red{Answer :}$


According to universal law of gravitational... two bodies in a universe attract each other with a force that is directly proportional to their masses and inversally proportional to the square of distance between them...

i.e.

F $\alpha$ $m_{1}\:m_{2}$ ....(1)

F $\alpha$ $\dfrac{1}{r}^{2}$ .....(2)

From (1) and (2)

F = $\dfrac{G(m_{1}\:\times\:m_{2)}}{{r}^{2}}$

→ Here...

F = Gravitational force

$m_{1}$ = mass 1

$m_{2}$ = mass 2

r = distance between centre of masses.

→ Value of G = 6.7 × 10¹¹ Nm²/kg²

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