Using the correct relativistic or nonrelativistic formulas. calculate the approximate de broglie wavelength of the following
a) an electron inside a magnetron thats been accelerated through a voltage difference of 9kv
b) a microwave photon with an energy of 10^-2 ev
c) a hockey puck with mass 1.4 mg flying with a speed of 2.3 m/s
d) in the large hadron collider a photon with kinetic energy of 9 t3v
show all your work!

After the near spacecraft passed mathilde, on several occasions rocket propellant was expelled to adjust the spacecraft's momentum in order to follow a path that would approach the asteroid eros, the final destination for the mission. after getting close to eros, further small adjustments made the momentum just right to give a circular orbit of radius 45 km (45 × 10^3 m) around the asteroid. so much propellant had been used that the final mass of the spacecraft while in circular orbit around eros was only 545 kg. the spacecraft took 1.04 days to make one complete circular orbit around eros. calculate what the mass of eros must be.

Amachinist turns the power on to a grinding wheel, at rest, at time t = 0 s. the wheel accelerates uniformly for 10 s and reaches the operating angular velocity of 96 rad/s. the wheel is run at that angular velocity for 40 s and then power is shut off. the wheel slows down uniformly at 1.5 rad/s2 until the wheel stops. in this situation, the time interval of deceleration is closest to:

Current from a charged capacitor lights a bulb. as time goes on the brightness of the