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A particle X at rest is a cube of rest-mass m and side L and has...

A particle X at rest is a cube of rest-mass m and side L and has a proper lifetime τ. If the particle is moving with speed √3c/2 with respect to the lab frame (c is the speed of light): Determine a) The total energy of the particle in the lab frame. b) The average distance the particle travels in the lab before decaying. c) Sketch the shape and dimensions of the particle when viewed perpendicular to its motion in the lab frame, include an arrow to indicate its direction of motion on your sketch.

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