A force of 40N acts on a body.If the units of mass and length are doubled and the unit of time is tripled,then what is the force in the new system?

Asked by snehamapink | 14th Sep, 2012, 06:38: PM

Expert Answer:

FOrce = 40N
 
unit of mass is doubled
unit of length is doubled
unit of time is tripled
 
dimension of force = [MLT-2]
the new dimensions will be:
 
M' = 2M
L'  = 2L
T' = 3T
 
thus [M'L'T'-2] = 4/9[MLT-2]
 
thus in new dimensions F = 40 *4/9 = 160/9 N'

Answered by  | 15th Sep, 2012, 02:23: PM

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