If A and B are two Hermitian operators, showthat AB and BA may

not be Hermitian, but that (AB + BA) andi(AB-BA) are both

hermitian. Prove that the expectation value ofA2 is

always real and non-negative. If A2=2,find the

eigenvalues of A.

To place a communications satellite into a geosynchronous orbit at an altitude of 22,240 mi above the surface of the earth, the satellite first is released from a space shuttle , which is in a circular orbit at an altitude of 185 mi, and then is propelled by an upper-stage booster to its final altitude. as the satellite passes through a, the booster's motor is fired to insert the satellite into an elliptic transfer orbit. the booster is again fired at b to insert the satellite into a geosynchronous orbit. knowing that the second firing increases the speed of the satellite by 4810ft/s, determine (a.) the speed of the satellite as it approaches b on the elliptic transfer orbit, (b.) the increase in speed resulting from the first firing at a.

Abeam of electrons moves at right angles to a magnetic field of 4.5 × 10-2 tesla. if the electrons have a velocity of 6.5 × 106 meters/second, what is the force acting on the electrons? the value of q = -1.6 × 10-19 coulombs.

If a 2 ounce coin is dropped from the top of the washington monument and has a final velocity of 300 mph (miles per hour) when it hits the ground, how much kinetic energy will it have at that time?