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ADNAN MUHAMMED

Grade 12,

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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 the force in the new system becomes ? ​

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 the force in the new system becomes ? ​

Grade:11

1 Answers

Aravind Kannan Rathinasabapathi
10 Points
6 years ago
new M unit = 2 x kg
new L unit =2 x m
new T unit=3 x s
(new T unit)2 = 9 x s2
 
We know,
F= mass x accelaration=1kg x 1ms-2  =1 kgms-2 = 1 N
Dimensional Formula MLT-2
Hence, New Units of Force = Value x New units for force (From Dimensional Analysis)
= 40 x ½ new units of M x ½ new units of L / {1/9 (new units of T)2 } 
= 90 new units of force

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