Show that in general a skew-symmetric tensor such as the spin tensor W has only one real principal value λ. Determine λ and the corresponding direction ˆn in terms of the components w1 = −W23, w2 = −W31, w3 = −W12 of the vector ˆω.

An electron and a proton have the same kinetic energy upon entering a region of constant magnetic field and their velocity vectors are perpendicular to the magnetic field. suppose the magnetic field is strong enough to allow the particles to circle in the field. note: you'll need to look up the masses for an electron and proton. 1) what is the ratio of the radii of their circular paths rp/re?

Waves are used in many practical applications to support work, entertainment, and health. one example is the use of ultrasound imaging to safely track the development of a growing fetus. what is a specific example of a practical application of waves in medicine, entertainment, safety, or other fields? provide a brief explanation of how the properties of waves are useful to that application.

How is sound energy produced a. vibrating objects b. objects being heated c. temperature differences d. stationary objects