Question

find the value of g in science​

Answer 1

Answer:

In the first equation above, g is referred to as the acceleration of gravity. Its value is 9.8 m/s2 on Earth.

...

The Value of g Depends on Location.

Location Distance from Earth's center (m) Value of g (m/s2)

Earth's surface 6.38 x 106 m 9.8

1000 km above surface 7.38 x 106 m 7.33

Answer 2

g also know as Acceleration due to gravity.On earth ot has value about $9.8ms^{-2}$.

We can use:

$F=G\frac{m_{1}m_{2}}{r^2}$

To find 'g' value.

where:

• G is gravitational constant.
• $m_{1} \:and \:m_{2}$ are masses of two bodies.
• r is distance between them.
• F is force due to gravity between them.

Since,we can write F as

$F=mg$

$\implies mg=G\frac{m_{1}m_{2}}{r^2}$

$\implies g=G\frac{m_{1}}{r^2}$

$\tt but$

$G=6.67× {10}^{ - 11} {m}^{3} {kg}^{ - 1} {s}^{ - 2}$

$m_{1} = mass_{earth} = 6 \times {10}^{24} kg$

$r = radius_{earth} = 6.4 \times {10}^{6} m$

$\implies g = (6.67 \times {10}^{ - 11}) (\frac{6\times {10}^{24} }{ {(6.4 \times 10 {}^{6} )}^{2} } )$

$\implies g = \frac{40 \times {10}^{13} }{40.96 \times {10}^{12} }$

$\implies g = 0.98 \times 10$

$\orange{ \boxed{ \therefore g = 9.8 {ms}^{ - 2} }}$

HOPE THIS HELPS!!