System of units

Name two coherent systems of units.

As far as mechanics is concerned all systems of units are having the same dimensions for a given physical quantity. But for thermodynamics, electricity, magnetism and electromagnetics this is not the case. Why?

The momentum of inertia of a body rotating about a given axis is 12.0 kg m^(2) in the SI system . What is the value of the moment of inertia in a system of units in which the unit of lengths is 5 cm and the unit of mass is 10 g ?

Suppose you system of units has one years as the unit of tiem , one light year as the unit of length and mass of earth as the unit of mass. How much 1 N be equal to the units of force in this system. Take 1 year = 3 xx 10^(5) s , 1 light year = 9.5 xx 10^(15) m and mass and earth = 6 xx 10^(24) kg .

A calorie is a unit of heat or energy and it equals about 4.2 J, where 1 J = 1 kg m^(2) s^(-2) . Suppose we employ a system of units in which the unit of mass equals alpha kg , the unit of length equals is beta m , the unit of time is gamma s . Show tthat a calorie has a magnitude 4.2 alpha^(-1) beta^(-1) gamma^(2) in terms of the new units.

A calorie is a unit of heat or energy and it equals about 4.2 J, where 1 J = 1 kg m^(2) s^(-2) . Suppose we employ a system of units in which the unit of mass equals alpha kg , the unit of length equals is beta m , the unit of time is gamma s . Show tthat a calorie has a magnitude 4.2 alpha^(-1) beta^(-1) gamma^(2) in terms of the new units.

The calorie is a unit of heat or energy and it equals about 4.2 J where 1J=1kgm^(2)s^(-2) . Suppose we employ a system of units in which the unit of mass equals alpha kg, the unit of length equals beta m and the unit of time is gamma s. Show that the calorie has a magnitude of 4.2alpha^(-1) beta^(-2) gamma^(2) in terms of the new units.

Name the three systems of unit and state the various fundamental units in them.

Does the number of significant figures used depend on the system of unit used?

Force acting on a particle is 5 N. If units of length and time are double and unit of mass is halved then find the numerical value of force in the new system of unit .