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Two smooth spherical non conducting shells A and B each of radius R having uniformly distributed charge Q and -Q on their surfaces are released on a smooth non conducting surface when the distance between their centres is 10R. The mass of A is m and that of B is 2m. What is the speed of A just before it collides with B? (Neglect gravitational interaction)Please help as soon as possible as jee mains is very near. Thankyou

Two smooth spherical non conducting shells A and B each of radius R having uniformly distributed charge Q and -Q on their surfaces are released on a smooth non conducting surface when the distance between their centres is 10R. The mass of A is m and that of B is 2m. What is the speed of A just before it collides with B? (Neglect gravitational interaction)Please help as soon as possible as jee mains is very near. Thankyou

Grade:12th pass

1 Answers

Pushkar Prateek
23 Points
4 years ago
Here we will use two concepts, considering both spheres as a single system.
1. Loss in electrostatic P.E of the system = Gain in K.E. of the system.
2. Since no net external force acts on the system so linear momentum of the system remains conserved.
From 1.  
½ m Va+ ½  2m Vb2   =  KQ2/2R  – KQ2/10R     (Separation between the spheres just before collision will be 2R)
From 2.
m Va = 2m Vb
Solving above two equations we get
Va = \sqrt{8KQ^2/15R}

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