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(a) Suppose that the total three-momentum P = of an isolated system is conserved in all inertial frames. Show that if this is true (which it is), then the fourth component P4 of the total four-momentum P = (P, P 4) has to be conserved as well.
(b) Using the zero-component theorem of Problem 15.35, you can prove the following stronger result very quickly: If any one component of the total four-momentum P is conserved in all frames, then all four components are conserved.
Problem 15.35
Prove the following useful result, called the zero-component theorem: Let q be a four-vector, and suppose that one component of q is found to be zero in all inertial frames. (For example, q4= 0 in all frames.) Then all four components of q are zero in all frames.
a 2.0-kg block is moving right at 1.0 m/s just before it strikes and sticks to a 1.0-kg block iniially at rest. what is the total momentum of the wo blocks after the collision
It is operating at 50% of its rated load at a power factor of .5 leading, compute efficiency using both exact and approximate equivalent circuits as referred to the primary side. Tabulate the percent errors in the currents, voltages, powers
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Write a report specifically for optical fibre relay protection system.
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Derive the transfer function for a system with an function u(t) and an ouput function x(t) described by the following differential equation:d^3x/dt^3+5d^2x/dt^2+17dx/dt+13=d^2u/dt^2+5du/dt+6
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