Question

Suppose we employ a system in which the unit of mass equals 100 kg, the unit of length equals 1 km and the unit of time 100 s and call the unit of energy eluoj (joule written in reverse order), then

• A. 1 eluoj = 10⁴ joule
• B. 1 eluoj = 10^-3 joule
• C. 1 eluoj = 10^-4 joule
• D. 1 joule = 10³ eluoj

Answer 1

Answer: (A)

1 eluoj = 10⁴ joule

Answer 2

$\lbrack E\rbrack = \lbrack ML^{2}T^{- 2}\rbrack$

1 eluoj $= [ 100 \mathrm {~kg} ] \times [ 1 \mathrm {~km} ] ^ { 2 } \times [ 100 \mathrm { sec } ] ^ { - 2 }$

$= 100kg \times 10^{6}m^{2} \times 10^{- 4}\sec^{- 2}{} = 10^{4}kgm^{2} \times \sec^{- 2}{}$

$= 10^{4}Joule$