question_answer 61)

                  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?                

Answer:

                  Force\[=[ML{{T}^{-2}}]=100N\] ?(i)                 \[[L]=10\,m\]                 \[[T]=100\,s\]                 From eqn. (i) \[M=\frac{100}{L{{T}^{-2}}}=\frac{100{{T}^{2}}}{L}\]                 \[=\frac{100\times {{(100)}^{2}}}{10}={{10}^{5}}kg\]