2 kg and 3 kg blocks are placed on a smooth horizontal surface and connected by spring which is
unstretched initially. The blocks are imparted velocities as shown in the figure. Maximum speed of 3 kg block in the subsequent motion will be $n \times v_{0}$ , find the value of n .

Question

2 kg and 3 kg blocks are placed on a smooth horizontal surface and connected by spring which is

unstretched initially. The blocks are imparted velocities as shown in the figure. Maximum speed of 3 kg block in the subsequent motion will be $n \times v_{0}$ , find the value of n .

TestHub · Accepted Answer

Velocity of centre of mass is v 0 ​ towards left and both the blocks 2kg and 3kg will perform SHM with speed at mean position as 3 v 0 ​ and 2 v 0 ​ . So, The maximum speed of the 2 kg block will be 3 v 0 ​ + v 0 ​ = 4 v 0 ​ . The maximum speed of the 3 kg block will be 2 v 0 ​ + v 0 ​ = 3 v 0 ​ .

Physics - Center of Mass Question with Solution | TestHub

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