Avector has a magnitude of 5.0 m and is directed east , vector b has a magnitude of 4.0 m and is directed 35° west of due north.

*what are the magnitude of vector a+b?
**what are the direction of vector a+b?
***what are the magnitude of vector b-a ?
what are the direction of vector b-a?
draw a vector diagram for each combination

The atoms in a nickel crystal vibrate as harmonic oscillators with an angular frequency of 2.3 × 1013 rad/s. the mass of a nickel atom is 9.75 × 10-26 kg. what is the difference in energy between adjacent vibrational energy levels of nickel? (h = 6.626 × 10-34 j • s, , 1 ev = 1.60 × 10-19 j)

Students in an introductory physics lab are performing an experiment with a parallel-plate capacitor made of two circular aluminum plates, each 11 cm in diameter, separated by 1.0 cm. how much charge can be added to each of the plates before a spark jumps between the two plates? for such flat electrodes, assume that value of 3×106n/c of the field causes a spark.

Estimate of the number of stars in our galaxy