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?
First write the dimension of each quantity and then relate them. Force [F]=[MLT−2]=100N............(i) length[L]=[L]=10m................(ii) Time [t]=[T]=100s..............(iii) Substituting values of L and T from Eqs.(ii) and (iii) in Eq.(i) , we get M×10×(100)−2=100 ⇒=100×100=100M×10 ⇒=M=100×1000kg=105kg
