Answer:
Given [tex]6.67 \frac{Nm^2}{Kg^{2} }[/tex]
We have to change this into CGS(centimeter, gram, and seconds) unit
Question is given in SI(Standard unit) or says MKS(meter kilogram and second) unit.
SI CGS
Newton 100000 Dyne
meter(m) 100 centimeter(cm)
Kilogram(Kg) 1000 gram(g)
N is basically the SI unit of force
length or distance SI unit is meter
mass is measured in KG in SI unit format
[tex]6.67 \frac{100000\times 100 \times 100 }{1000 \times 1000} \frac{dyne \times{cm}^2 }{{g}^2}[/tex]
[tex]6.67\times 1000[/tex]
6670 is the answer
Explanation:
Unit conversion is very easy but one should keep in my mind the dimension also
like if we want to change Newton into Dyne we should know the exact dimension of the force
Force = m a
m = mass
a = acceleration
a has unit [tex]m s^{-2}[/tex]
finally, the force has unit [tex]Kg m s^{-2}[/tex]
dimension is[tex]MLT^{-2}[/tex]
F = [tex]force = 1Kg\times1m s^{-2}[/tex] = Newton in SI unit
[tex]F = force = 1000 g \times 100 cm s^{-2}[/tex] = Dyne in CGS unit
Finally, 1 Newton = 100000 Dyne
numerical = convert 6.67Nm^2 kg^-2 into cgs.
hlo
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Verified answer
Answer:
Given [tex]6.67 \frac{Nm^2}{Kg^{2} }[/tex]
We have to change this into CGS(centimeter, gram, and seconds) unit
Question is given in SI(Standard unit) or says MKS(meter kilogram and second) unit.
SI CGS
Newton 100000 Dyne
meter(m) 100 centimeter(cm)
Kilogram(Kg) 1000 gram(g)
N is basically the SI unit of force
length or distance SI unit is meter
mass is measured in KG in SI unit format
[tex]6.67 \frac{100000\times 100 \times 100 }{1000 \times 1000} \frac{dyne \times{cm}^2 }{{g}^2}[/tex]
[tex]6.67\times 1000[/tex]
6670 is the answer
Explanation:
Unit conversion is very easy but one should keep in my mind the dimension also
like if we want to change Newton into Dyne we should know the exact dimension of the force
Force = m a
m = mass
a = acceleration
a has unit [tex]m s^{-2}[/tex]
finally, the force has unit [tex]Kg m s^{-2}[/tex]
dimension is[tex]MLT^{-2}[/tex]
F = [tex]force = 1Kg\times1m s^{-2}[/tex] = Newton in SI unit
[tex]F = force = 1000 g \times 100 cm s^{-2}[/tex] = Dyne in CGS unit
Finally, 1 Newton = 100000 Dyne
Answer:
numerical = convert 6.67Nm^2 kg^-2 into cgs.
hlo