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In two systems(1 and 2) of units, the relation between velocity, acceleration and force is given by and respectively, where and are constants?
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In two systems(1 and 2) of units, the relation between velocity, accel...
Relation between Velocity, Acceleration and Force


System 1


  • Velocity: v

  • Acceleration: a

  • Force: F

  • Relation: F = ma



In System 1, the force acting on an object is directly proportional to the acceleration produced. The proportionality constant is the mass of the object. This relationship is described by Newton's second law of motion.


System 2


  • Velocity: v

  • Acceleration: a

  • Force: F

  • Relation: F = kv^2



In System 2, the force acting on an object is directly proportional to the square of the velocity of the object. The proportionality constant is k. This relationship is described by a different set of laws, such as Bernoulli's principle in fluid mechanics or the Lorentz force law in electromagnetism.


Explanation


These two systems of units describe different physical phenomena, and therefore have different relationships between velocity, acceleration and force. System 1 is used to describe the motion of objects under the influence of forces such as gravity or friction, where the force is directly proportional to the acceleration produced. System 2 is used to describe the forces acting on objects in fluid mechanics or electromagnetism, where the force is proportional to the square of the velocity of the object.


It is important to understand the appropriate system of units to use for a given physical phenomenon, as using the wrong system can lead to incorrect results and predictions.
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In two systems(1 and 2) of units, the relation between velocity, acceleration and force is given by and respectively, where and are constants?
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