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The unit of force in SI system is newton...

The unit of force in SI system is newton (N) and in CGS system is dyne. One newton is equal to 1 kg m `s^(-2)` and 1 dyne is equal to 1 g cm `s^(-2)`. How many dynes make one newton?

Text Solution

Verified by Experts

Given that: 1 N = 1 kg m `s^(-2)`
1 dyne = 1 g cm `s^(-2)`
But 1 kg = 1000 g and 1 m = 100 cm
`therefore` 1 N = 1 kg m `s^(-2)` = (1 kg) (1 m `s^(-2)`)
`((1 kg)(1 m))/((1 s^(2))) = ((1000 g)(100 cm))/((1 s^(2))) = 10^(5) g cm s^(-2) = 10^(5)` dyne.
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Knowledge Check

  • 1 dyne (a unit of force in CGS system) equals to

    A
    `10^(3) g cm//s^(2)`
    B
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    C
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    D
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  • The unit of force in SI system is newton and it is given as 1 newton = 1 kg m s^(-2) . In CGS system its unit is dyne and it is given as 1 dyne = 1 g cm s^(-2) . Arrange the following steps in a sequential order to relate the SI unit and CGS unit of force: (A) Write the conversions of kg and m, into g and cm, respectively. (B) Substitute the conversions in 1 newton = 1 kg m s^(-2) (C) Write the relation between 1 newton and 1 dyne. (D) Write in place of 1 g cm s^(-2) as 1 dyne.

    A
    A C B D
    B
    A B D C
    C
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    D
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  • The unit of force in SI system is newton and it is given as 1 newton ="1 kg m s"^(-2) . In CGS system its unit is dyne and it is given as "1 dyne=1 g cm s"^(-2) . Arrange the following steps in a sequential order to relate the SI unit and CGS unit of force. (a) Write the conversions of kg and m, into g and cm, respectively (b) Substitute the conversions in 1 newton = 1 kg m s^2. (c) Write the relation between 1 newton and 1 dyne. (d) Write in place of "1 g cm s"^(-2) as 1 dyne.

    A
    acbd
    B
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    D
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