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 = 1 kg`
New unit of time `T_t = 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 = [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) kg m^2 s^(-2)`
`E_1 = 3464 xx 10^5 kg m^2 "sec"^(-2)`
`:.` The new unit of energy `E_1 = 3.464 xx 10^5` joule .