In a new system the unit of mass is kg, unit of length is m and unit of time is s. The value of 1J in this new system is
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In a new system, the unit of mass is m kg, unit of length is l m and unit of time is t s. The value of 1 joule (J) in this new system is _______.
Now, as the question says :-
Mass = m kg
Length = l m
Time = t s
Now, We know that 1 J = kgm²/s²
Hence,
New mass = m kg.
1 kg = m¹.
Similarly,
New time = t s.
1 s = t^{-1}
But we need 1 s² = t^{-2}.
And,
New length = l m.
1 m = m¹
At last, 1 m² = l².
The new value of 1 J is m¹ l² t^{-2}.
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