Question

define acceleration due to gravity and obtain an expression for it. please please tell please.​

Answer 1

Answer:

Acceleration due to gravity(denoted by g) is the value with which the object is accelerated downwards due to gravitational force

Explanation:

Expression

g=GM/R^2

Answer 2

Answer

To calculate the value of g, we should put the values of G, M and R

Where G=universal gravitational constant,

$\tt{G = 6.7 \times 10^{ - 11}Nm ^{2}kg ^{2} }$

mass of the earth,

$\tt{M=6×10 ^{24} </p><p> kg, }$

and radius of the earth,

$\tt{R=6.4×10 ^{6} </p><p> m.}$

$\tt{g= </p><p></p><p></p><p> </p><p> \frac{GM}{R ^{2} } }</p><p>$

$\tt{g= \frac{6.67×10 </p><p> ^{ - 11} \times 6 \times </p><p> </p><p> {10}^{24} </p><p> }{(6×10 ^{6} </p><p> ) </p><p> ^{2} } </p><p> =9.8m/s </p><p> ^{2} }$

Thus, the value of acceleration due to gravity of the earth, g=9.8m/s²

Also we know Weight in nothing but the force exerted by the earth with a value of acceleration =9.8m/s²

Now at the poles the value of acceleration due to gravity is higher as compared to the equator as the constant value of g depends on the radius of the earth which decreases when we come down from poles to the equator.