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A relativistic particle is moving with a velocity of (3.0x10^5 m/s) i + (4.0x10^6 m/s) j....

A relativistic particle is moving with a velocity of (3.0x10^5 m/s) i + (4.0x10^6 m/s) j. Another relativistic particle which is 4 times massive than the first particle is moving with velocity of (3.0x10^5 m/s) i - (1.0x10^6 m/s) j. The particles collide and the collision is perfectly inelastic.

  1. What are the velocities of the particles just after the collision?

  2. What percent of energy is lost just after the collision?

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