Question: In Problem 90, you showed that the quantity x 2 + y 2 + z 2 -(ct) 2 has the same value (0) in both

In Problem 90, you showed that the quantity x² + y² + z² -(ct)² has the same value (0) in both S and S’. Such a quantity is called an invariant. From the results of Problem 89, the quantity p²_x + p²_y + p²_z – (E/c)² must also be an invariant. Show that this quantity has the value -m₀c² in both the S and S’ reference frames.

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From Equation 3928 p 2 c 2 E 2 E 0 2 or p 2 E c 2 m 0 2 c 2 Since m 0 is the rest mass ie the mass ... View full answer

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