Question

iIf the unit of force is kN ,the length is 1 km and time 100s ,then what will be the unit of mass ?

Answer 1

Force =mx aso dimensional formula of force is [F]= [MLT⁻²]

⇒M=FT²/L

Unit of Force given is 1kilo Newton=1000N

unit of length[L]=1km=1000m

Unit of Time[T]=100sec

after substiuting all the values , we get M as

M=1000x100x100/1000
=10000kg
=10 kilo Kg
∴ Unit of mass will be 10 Kilo kg