If unit of mass is taken as 1 kg, of time a 1 minute and that acceleration due to gravity is taken as 9.81 ms^(-2) . What is the unit of energy?

If unit of mass is taken as 1 kg, of time a 1 minute and that accelera

1.	If unit of mass is taken as 1 kg, of time a 1 minute and that acceleration due to gravity is taken as 9.81 ms^(-2) . What is the unit of energy?
Answer» Solution :New unit of ENERGY `=E_1` New unit of mass `M_(1) = 1 kg` New unit of time `T_(1) = 1 "MINUTE" = 60 "sec"` New unit of LENGTH `= L_(1)` `E_(1) = [M_(1) L_(1) T_(1)^(-2) ]` New unit of acceleration due to gravity, `g_(1) = 9.81 ms^(-2)` `g_(1) = L_(1)T_(1) ^(-2)L_(1) = g_(1) T_(1)^(-2) = 9.81 xx (60)^(2) "meter" ` `E_(1) = [ 1 kg xx (9.81 xx 60^(2) )^(2) m^(2) (60)^(-2) S^(-2) ]` `E_(1) = (1 xx 9.81 xx 60 xx 60 xx 9.81 xx 60 xx 60)/( 60 xx 60) "kgm"^(2) s^(2)` `E_(1) = 3.464 xx 10^(5) "kg" m^(2) sec^(-2)` `THEREFORE` The new unit of energy `E_(1) = 3.464 xx 10^(5)` joule.