If the unit of force is 100 N, unit of length is 10 m and unit of time is 100 s, what is the unit of mass in this system of units?

Answers (1)

The dimensions of -

Force = [M^{1}L^{1}T^{-2}]

          =100 N               ..........(i)

Length = [L^{1}]

          = 10 m         ...........(ii)

Time  = [T^{1}]

         = 100 sec   ...........(iii)

Now let us substitute the values of eq. (ii) & (iii) in eq. (i)

We get,

M\times10\times100^{-2}=100

\frac{10M}{10000}=100

Thus, M=10^{5}kg, L=10^{1}m,F=10^{2}N \; and \; T=10^{2}seconds

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