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if the unit of force work kilonewton, that of time millisecond and that of power kilowatt, what would be the unit of mass and length ? |
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Answer» Hello Dear. Here is the answer--- →→→→→→→→→→→ Given--- Unit of Force = k N Unit of time = millisecond. Unit of Power = k W For the Unit of the Length, Using the Relation, Power = Force × Velocity ⇒ Unit of Power = Unit of Force × Unit of Velocity ⇒ 1 k W = 1 k N × Unit of Velocity
⇒ Unit of Velocity = 1kW/1kN = W/N = [Since, 1 W = N/ms] = 1 m/s. Now, Using the FORMULA, Speed = Distance/Time Unit of Speed = Unit of Distance/Unit of Time
1 m/s = Unit of Distance/1 millisecond
Unit of Distance = 1 m/s × 1 MILLISECONDS = 1 m/s × 10⁻³ seconds. = 1 × 10⁻³ m = 1 millimeter We know the unit of length is same as the unit of Distance, THUS the unit of length will be 1 millimeter. ↔↔↔↔↔↔↔↔↔↔↔ For the unit of Mass, Using the Formula,
a = ⇒ = = 10³ m/s² =1 km/s² ⇒ Unit of acceleration = km/s² Using the Formula, Force = Mass × Acceleration ⇒ Unit of Force = Unit of Mass × Unit of Acceleration ⇒ Unit of Mass = Unit of Force/Unit of Acceleration ⇒ ⇒ ⇒ Unit of Mass = kg. Thus, the unit of mass will be kg. →→→→→→→→→→ Hope it helps. Have a Nice day. |
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