Question

Two spheres of masses 10 kg and 20 kg are 5 m apart. Calculate the force of attraction between the masses

Answer 1

masses of the spheres are:
m₁ = 10kg
m₂ = 5kg
distance, r = 5m

Force of attraction between them is due to gravitational attraction.

$F=\frac{Gm_1m_2}{r^2} = \frac{6.67 \times 10^{-11} \times 10 \times 5}{5^2}\ N=1.334 \times 10^{-10}N$

The force of attraction between the spheres is 1.334 × 10⁻¹° N

Answer 2

The force of attraction between the masses is

$Force=5.336\times 10^{-10}\ Newton$

Explanation:

Given:

Mass 1 = M ₁ = 10 kg

Mass 2 = M₂ = 20 kg

Distance Between M₁ and M₂ , r =  5 m

To Find:

Force of Attraction = ?

Solution:

Universal Law of Gravitation:

Newton's law of universal gravitation is usually stated that every particle attracts every other particle in the universe with a force which is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers.

The formula is

$Force=\dfrac{G\times M_{1}\times M_{2}}{r^{2}}$

G = gravitation constant

$G=6.67\times 10^{-11}$

M₁ and M₂ =masses of two spheres

r = distance between M₁ and M₂

Substituting the values we get

$Force=\dfrac{6.67\times 10^{-11}\times 10\times 20}{5^{2}}$

$Force=\dfrac{1334\times 10^{-11}}{25}=5.336\times 10^{-10}\ Newton$

The force of attraction between the masses is

$Force=5.336\times 10^{-10}\ Newton$