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Q.1 A spring of mass M = 3 kg and spring constant k = 4 p 2 Nm -1 . The spring lies on a frictionless surface and one end of the spring is fixed to a wall. It can be assumed at any time that velocity of any point on the spring is directly proportional to its distance from the wall. What is the time period of oscillation of the spring (in second) if the free end of the spring is slightly pulled from its natural length and released. Q.2) Two particles approach from a very large distance along parellel lines. These lines are separated by perpendicular distance L. The mass, charge and velocity of each particle are respectively given by M, Q, V and 2M, 2Q, 2V. a. If the least saparation between the particles is b, what is the speed of M in center of mass frame when particles are closest. b. If , find the least separation between the particles.


 Q.1  A spring of mass M = 3 kg and spring constant k = 4p2 Nm-1. The spring lies on a frictionless surface and one end of the spring is fixed to a wall. It can be assumed at any time that velocity of any point on the spring is directly proportional to its distance from the wall. What is the time period of oscillation of the spring (in second) if the free end of the spring is slightly pulled from its natural length and released.

 

 

Q.2) Two particles approach from a very large distance along parellel lines. These lines are separated by perpendicular distance L. The mass, charge and velocity of each particle are respectively given by M, Q, V and  2M, 2Q, 2V.

a. If the least saparation between the particles is b, what is the speed of M in center of mass frame when particles are closest.
 

b.  If , find the least separation between the particles.


Grade:upto college level

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