Question

name the various gravitational unit of force. convert the gravitational unit in MKS system into SI unit
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Answer 1

Answer:

A kilopond can be converted to the SI unit newton by multiplication with the standard acceleration gn: 1 kp = gn ⋅ 1 kg = 9.80665 kg⋅m⋅s−2 = 9.80665 N.

Explanation:

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Answer 2

Answer:

Explanation:

The gravitational unit of force is the same as any other force. In the SI system, it’s the Newton.

There is something called the Universal Gravitational Constant which connects the force of gravity between two masses and the distance between them, but it’s not a force in itself, but, as the name suggests, a constant.

The formula for the force of gravity [math]f[ between two objects of mass [math]m_1[/math] and [math]m_2 separated by distance [math]d[/math] is

f = \frac{G{m_1}{m_2}}{d^2}

where [math]G[/math] is the universal gravitational constant. The u

G are m^3.kg^{-1}.s^{-2

ii)The dimensional formula of G is  

[M  −1  L  3  T  −2  ],

i.e., a=−1,b=3,c=−2

SI system

CGS system M  1

​ =1kg   M  2  =1g L  1

​ =1m   L  2 =1cm

T  1 =1s  

2  =1s

By using n  2

​ =n  1​ [  M  2 M  1  ]  a  [  L  2 L  1  ]  b  [  T  2 T 1   ]  c

 

Value of G in CGS unit

= 6.67×10  −8  cm  3  gs  −2

 = 6.67×10  −8  [  kg g ​]  −1  [  m cm ​]  3  [  s s ​]  −2

 =6.67×10  −8  [  10  3 g g ​ ]  −1  [  10  2  cm cm ​ ]  3  [  s s ​  ]  −2

 =6.67×10  −11

 

∴G=6.67×10  −11  MKS units.

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