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?

Explanation

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.