Question

5. State the universal law of gravitation. Derive the formula to find the
magnitude of the gravitational force between the earth and an object on
the surface of the earth. 3m

Answer 1

$\maltese \: \red{\mid{\underline{\overline{\textbf{Answer}}}\mid}}$

According Universal law of gravitation the force of attraction between two bodies is directly proportional to product of their masses and inversely proportional to square of distance between them.

Now let's say there are two bodies A and B of masses M and m respectively.They are D distance apart from each other, now let's say that the force of attraction between both bodies is F.

Now we can say that

• F is directly proportional to Mm
• F is inversely proportional to d^2.

Now after combining both points we can say that :

$f = \frac{GMm}{ {d}^{2} }$

Here G is the universal Gravitational constant.

Which have a value of :

$6.673 \times {10}^{ - 11}$

______________________________________

BY SCIVIBHANSHU

THANK YOU

STAY CURIOUS

To appreciate me you can mark my answer Brainliest.

Answer 2

Newton's law of gravitation:-

Every objects in the universe attracts each other with a force which is directly proportional with the mass of them and inversely proportional with the square of distance between them.

Let, mass of Earth = m′

mass of object = m″

Distance between them = d

We know,

F = GMm/d²

∴ F(in this case) = Gm′m″/d².

More:-

About gravitational force:-

• It is a force which was discovered by Newton with the ideas of Tyco Brahe and Johannes Kepler.
• It is an attractive force and not repulsive.
• It is a force which is limited to point masses only.
• It is the weakest force after,

1. Strong Nuclear Force,
2. Electromagnetic Force, and
3. Weak Nuclear Force.

• It is not dependent on a medium.