Answer
Verified
474.3k+ views
Hint: G is the force between two bodies of unit mass separated by distance r. G is known as a universal gravitational constant. g is the acceleration produced in a body falling under the action of gravitational pull of the earth. Here g is called acceleration due to gravity. Equation for g is $F=mg$ and Equation for G is $F=G\dfrac{{{m}_{1}}m}{{{r}^{2}}}$.
Complete step by step answer:
The gravitational force between two masses m1 and m2 is proportional to the product of mass and is inversely proportional to square of the distance (r) apart,
$\begin{align}
& F\propto \dfrac{{{m}_{1}}{{m}_{2}}}{{{r}^{2}}} \\
& F=G\dfrac{{{m}_{1}}{{m}_{2}}}{{{r}^{2}}} \\
\end{align}$
Gravity – the force of attraction exerted by the earth on other objects is called gravity. The direction of force F is towards the center of the earth which is called the vertically downward direction force. This force is also called gravitational force and given as -
$F=mg$
Let m be the mass of an object and m1 be the mass of earth. And r is the radius of the earth.
$\begin{align}
& F=G\dfrac{{{m}_{1}}m}{{{r}^{2}}} \\
& mg=G\dfrac{{{m}_{1}}m}{{{r}^{2}}} \\
& g=G\dfrac{{{m}_{1}}}{{{r}^{2}}} \\
\end{align}$
The term $G\dfrac{{{m}_{1}}}{{{r}^{2}}}$is called acceleration due to gravity and is denoted by the letter g.
Hence relation between g and G is $g=G\dfrac{{{m}_{1}}}{{{r}^{2}}}$
Note: Students should remember that g is much different from G.
The value of g is $g=9.8m/{{s}^{2}}$ or for simplicity we use$g=10m/{{s}^{2}}$.
And the value of G is so small and becomes appreciable only if two bodies have large masses. And approximately equal to $6.674\times {{10}^{-11}}N{{m}^{2}}/k{{g}^{2}}$
Complete step by step answer:
The gravitational force between two masses m1 and m2 is proportional to the product of mass and is inversely proportional to square of the distance (r) apart,
$\begin{align}
& F\propto \dfrac{{{m}_{1}}{{m}_{2}}}{{{r}^{2}}} \\
& F=G\dfrac{{{m}_{1}}{{m}_{2}}}{{{r}^{2}}} \\
\end{align}$
Gravity – the force of attraction exerted by the earth on other objects is called gravity. The direction of force F is towards the center of the earth which is called the vertically downward direction force. This force is also called gravitational force and given as -
$F=mg$
Let m be the mass of an object and m1 be the mass of earth. And r is the radius of the earth.
$\begin{align}
& F=G\dfrac{{{m}_{1}}m}{{{r}^{2}}} \\
& mg=G\dfrac{{{m}_{1}}m}{{{r}^{2}}} \\
& g=G\dfrac{{{m}_{1}}}{{{r}^{2}}} \\
\end{align}$
The term $G\dfrac{{{m}_{1}}}{{{r}^{2}}}$is called acceleration due to gravity and is denoted by the letter g.
Hence relation between g and G is $g=G\dfrac{{{m}_{1}}}{{{r}^{2}}}$
Note: Students should remember that g is much different from G.
The value of g is $g=9.8m/{{s}^{2}}$ or for simplicity we use$g=10m/{{s}^{2}}$.
And the value of G is so small and becomes appreciable only if two bodies have large masses. And approximately equal to $6.674\times {{10}^{-11}}N{{m}^{2}}/k{{g}^{2}}$
Recently Updated Pages
Who among the following was the religious guru of class 7 social science CBSE
what is the correct chronological order of the following class 10 social science CBSE
Which of the following was not the actual cause for class 10 social science CBSE
Which of the following statements is not correct A class 10 social science CBSE
Which of the following leaders was not present in the class 10 social science CBSE
Garampani Sanctuary is located at A Diphu Assam B Gangtok class 10 social science CBSE
Trending doubts
A rainbow has circular shape because A The earth is class 11 physics CBSE
Which are the Top 10 Largest Countries of the World?
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
How do you graph the function fx 4x class 9 maths CBSE
What is BLO What is the full form of BLO class 8 social science CBSE
The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths
Give 10 examples for herbs , shrubs , climbers , creepers
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
Change the following sentences into negative and interrogative class 10 english CBSE