Question

if energy e momentum p and force f are chosen as fundamental units then find the dimensions of mass in new system​

Answer 1

energy can be kinetic energy and we know that E=1/2×mass×velocity

2E=1/2×mass×velocity2 .

momentum is P=mass×velocity

P=mass×velocity

force F=mass×acceleration

F=mass×acceleration

So the SI equivalents are:

E is kg.m2.s−2kg.m2.s−2

P is kg.m.s−1kg.m.s−1F is kg.m.s−2kg.m.s−2

So for SI units:

a second is force/momentum: F.P−1F.P−1

a meter is energy/force: E.F−1E.F−1

velocity is meters/seconds which is E.P.F−2E.P.F−2