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solve

Figure shows the direction of movement of three spheres immediately after cutting the string that connecting A and B.
Due to Tension force and Electrostatic force Ball A and B moves with velocity vA and vB as shown in figure.
Ball C moves with speed vCy along the direction of y-axis.

After resolving velocity vectors and applying momentum conservation,

m × vAy + m × vBy + m × vCy = 0 ...................(1)

By symmetry, vAy = vBy = v ,  hence from eqn.(1)  we get  vCy = 2 |v|  ....................(2)

Final kinetic energy of system = change in potential energy

........................(3)
using eqn.(2) and after simplification, we get    ....................(4)
By substituting respective values in eqn.(4) , we get vCy = 2√2 m/s

Answered by Expert 21st May 2019, 1:37 PM
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Tags: speed