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If the persent units of length , time an...

If the persent units of length , time and mass `( m , s, kg)` are changed to `100 m , 100 s, and (1)/(10) kg `, then how will the new unit of force change ?

Text Solution

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Unit of velocity `= m s^(-1)`,
In new system `= ( 100 m)/( 100 s) = ( m)/( s)` (same)
Unit of force `= ( kg xx m)/(s^(2))`
In new system `= ( 1)/( 10) kg xx ( 100 m xx 100 m)/( 100 s xx 100 s) = (1)/( 10) ( kg xx m^(2))/( s^(2))`
Unit of pressure `= ( kg) /( m xx s^(2))`
In new system `= (1)/( 10) kg xx (1)/(100) m xx (1)/( 100 s xx 100 s) = 10^(-7) ( kg)/( m xx s^(2))`
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