Question

‘g’ च G में क्या सम्बन्ध है ?

Answer 1

Answer:

$g = \dfrac{GM}{R^{2} }$

Explanation:

चूँकि हम गणितीय रूप में गुरुत्वाकर्षण के न्यूटन नियम को जानते हैं।

$F = \dfrac{GMm}{R^{2} }$........................................(1)

जहाँ M = पृथ्वी का द्रव्यमान, m = वस्तु का द्रव्यमान,  R = पृथ्वी की त्रिज्या।

हम यह भी जानते हैं कि जब पृथ्वी की सतह से वस्तु गिरती है तो वस्तु एक गुरुत्वाकर्षण बल का अनुभव करती है।

F = mg ...............................................(2)

समीकरण (1)  तथा (2)का उपयोग करते हुए

$g = \dfrac{GM}{R^{2} }$

Answer 2

The relation between g and G is as follows :

Explanation:

The gravitational force between two masses is given by the formula as :

$F=\dfrac{GmM}{d^2}$...........(1)

Here,

G is the universal gravitational constant

m is the mass of object

M is the mass of the Earth

d is the distance from Earth

We know that the weight of an object is the force with which the Earth attracts it. The weight of object is given by :

$W=mg$........(2)

From equation (1) and (2) we get :

$mg=\dfrac{GmM}{d^2}$

$g=\dfrac{GM}{d^2}$

So, this is the relation between g and G. Hence, this is the required solution.

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