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

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

1.	If unit of mass is taken as 1kg, of time as 1 minute and that acceleration due to gravity is taken as 9.81ms^(-2), what is the unit of energy?
Answer» Solution :New uunit of energy `= E_(1)` New UNIT of MASS `M_(2)= 1kg` 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 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)= [1kg 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) kg m^(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.