Question

Calculate the gravitational force between two objects of masses 1 Kg each and distance between their centres of masses as 1 m and placed in water having density 1000 kg. m^‐³ The answer which I find correct with explanation ,will be marked as brainliest​

Answer 1

Answer:

The required gravitational force is 6.67 × 10⁻¹¹ N

Step-by-step explanation:

Given :

• the masses of two objects are 1 kg each.
• the distance between the centers of masses of two objects is 1 m
• the two objects are placed in water having density 1000 kg/m³

To find :

the gravitational force between the two objects

Solution :

 The gravitational force between the two objects is given by,

    $\setlength{\unitlength}{7mm} \begin{picture}(6,6)\thicklines\put(2,2){\circle{14}}\put(8,2){\circle{14}} \put(2,2){\circle*{0.15}} \put(8,2){\circle*{0.15}} \put(2,2){\line(1,0){6}} \put(4,2){\line( - 1,1){0.5}} \put(6,2){\line(1,1){0.5}} \put(4,2){\line( - 1, - 1){0.5}} \put(6,2){\line( 1, -1){0.5}} \put(4.5,0.7){\vector( - 1,0){2.7}} \put(5.4,0.7){\vector(1,0){2.8}}\put(4.75,0.6){ \bf d }\put( 3.3, - 1){ \framebox{ \bf F = \displaystyle \dfrac{Gm_1m_2 }{ d^2} }}\end{picture}$

m₁ = m₂ = 1 kg

d = 1 m

G = 6.67 × 10⁻¹¹ Nm²/kg²

Substitute the values,

 $\sf F=\dfrac{6.67 \times 10^{-11} \times 1 \times 1}{1^2} \\\\ \sf F=6.67 \times 10^{-11} \ N$

Therefore, the gravitational force between two objects of masses 1 kg each and distance between their centers of masses as 1 m is 6.67 × 10⁻¹¹ N

The gravitational force between two objects depends on

• the masses of two objects
• the distance between their center of masses

It does not depend on the medium where the objects are placed. Hence, the gravitational force is same irrespective of the medium.