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

Step-by-step solution

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^ = (m+ m 2 ) (v+ v 2 )^2 (r+ r 2 ) = 3 2 m 9 4 v^2 3 2 r =F 9 4 Now, the % change in force F^ -F F 100= ( 9 4 -1 ) 100=125 %