Fri September 14, 2012 By:

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?

Expert Reply
Sat September 15, 2012
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'
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