If one joule of energy is converted to a new system of units in which length is measured in 10m, mass in 10 kilogram and time in 1 minute.What is the value of energy in this new system.

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Solution

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$space 1 J equals open parentheses fraction numerator left parenthesis 0.1 right parenthesis cross times left parenthesis 10 K g right parenthesis cross times 0.01 cross times left parenthesis 10 m right parenthesis squared over denominator open parentheses begin display style 1 over 3600 end style m i n squared close parentheses end fraction close parentheses equals 3600 cross times left parenthesis 0.1 right parenthesis cross times left parenthesis 0.01 right parenthesis cross times open parentheses fraction numerator left parenthesis 10 K g right parenthesis cross times left parenthesis 10 m squared right parenthesis over denominator m i n squared end fraction close parentheses rightwards double arrow 3.6 cross times open parentheses fraction numerator left parenthesis 10 K g right parenthesis cross times left parenthesis 10 m squared right parenthesis over denominator m i n squared end fraction close parentheses H e n c e space v a l u e space i n space t h e space n e w space s y s t e m space w i l l space b e space equals 3.6 space space o r space space 36 cross times 10 to the power of negative 1 end exponent H o p e space y o u space u n d e r s t o o d R e g a r d s$

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