A particle of mass ' m ' performs uniform circular motion of radius ' r ' with linear speed ' v ' under the application of force ' F '. If m , v and r are all i

Question

A particle of mass ' m ' performs uniform circular motion of radius ' r ' with linear speed ' v ' under the application of force ' F '. If m , v and r are all increased by 50% , the necessary change in force required to maintain the particle in uniform circular motion is

TestHub · Accepted Answer

Given that, Mass = m , Velocity = v , Radius = r We know that, The force is Now, the increment is 50% in mass, velocity and radius Now, new force is F ′ = ( r + 2 r ​ ) ( m + 2 m ​ ) ( v + 2 v ​ ) 2 ​ = 2 3 ​ r 2 3 ​ m × 4 9 ​ v 2 ​ = F × 4 9 ​ Now, the \% change in force F F ′ − F ​ × 100 = ( 4 9 ​ − 1 ) × 100 = 125%

Physics - Circular Motion Question with Solution | TestHub

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