Question

Short note on gravitational unit

Answer 1

$\huge\mathfrak{Answer}$

⭐The gravitational metric system is a non-standard system of units, which does not comply with the International System of Units (SI).

⭐It is built on the three base quantities length, time and force with base units metre, second and kilopond respectively.

Answer 2

$\text{\underline{\underline{Gravitational\:unit:}}}$

$\implies$SI unit is kilogram-metre (kg-m).

$\implies$It is the gravitational unit of work in SI like joule is the absolute unit of work in SI.

$\implies$Work done is said to be one kg-m.

$\implies$When a force of 1 kgf moves a body through a distance of 1 m in the direction of the applied force.


$\boxed{W\:=\:Fd\:Cos\theta}$

1 kg-m $\sf{= 1 \: kgf \times 1 \: m \times cos0}$

1 kg-m $\sf{= 9.8 \: N \times 1 \: m}$

1 kg-m $\sf{= 9.8 \: joule \: (as \: 1 \: kgf = 9.8 \: N) }$

$\sf{1 \: kg-m = 9.8 \: J}$


So,

$\text{\underline{1\:kg-m\:=\:9.8\:J}}$