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 unit of energy =`E_(1)`
, New unit of mass `M_(1) = 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)=9.81xx(60)^(2)` meter
`E_(1)=|1kg xx(9.81xx60^(2))^(2)m^(2)(60)^(-2)S^(-2)|`
`E_(1)=(1xx9.81xx60xx60xx9.81xx60xx60)/(60xx60) kgm^(2)s^(-2)`
`E_(1) = 3.464 xx10^(5) kg m^(2) sec^(-2)`
`:.` The new unit of energy `E_(1)= 3.464xx10^(5)` joule .