a new system of units, unit of mass is taken as 10 kg, unit of length Om and unit of time is 1 minute. The value of 20 N weight of a body the new unit wil be
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unit of Force = 1 N
unit of Work done = J' = 10 J
unit of Time : T = 1 second.
unit of Mass : M' = ?
Work done = Force * Displacement
1 J = 1 N * 1 meter
1 J' = 1 N * new-meter = 10 J
=> Unit of displacement and length = new-meter = 10 meters.
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Force = Mass * Length / Time²
1 N = new-kg * new-meter / sec²
1 N = new-kg * 10 meter/ sec²
but 1 N = 1 kg * 1 meter/sec²
=> new-kg = 1/10 = 10⁻¹ kg = 0.1 kg
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