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If unit of force, velocity and …

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If unit of force, velocity and energy are 100dyne, 10 cm/s and 400ergs. What is the maximum error in kinetic energy obtained by the measurement

Posted by Manpreet Kaur 7 years, 6 months ago

CBSE > Class 11 > Physics

1 answers

Himanshu Jha 7 years, 6 months ago

The Dimensional formulae of force = [ MLT^-2 ] energy = [ML²T^-2] velocity = [LT^-1] Thus We have [MLT^-2] = 10N.......(i) [ML²T^-2] = 100J .....(ii) [LT-1] = 5ms^-1 .......(iii) and Dividing equation (ii) by eq.(i) ,we have [L] = 100J/10N = 100Nm/10N = 10m. Substituting the unit of [L] in eq. (iii) , we have [T^-1] = 5ms^-1/[L] = 5ms^-1/ 10m [ T ] = 10m/5ms^-1 = 2s. Substituting the units of [L] and [ T] in eq.( i) we have [M] = 10N / [L] [T^-2] = 10N × 4s² / 10m = 4kg. Hope it helps !!!☺☺

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