A proton moving perpendicular to a magnetic field of strength 3.7 mT experiences a force due to the field of 5.8 ✕ 10-21 N. (a) Calculate the speed of the proton. (b) Calculate the kinetic energy of the proton.

As you are trying to move a heavy box of mass m, you realize that it is too heavy for you to lift by yourself. there is no one around to , so you attach an ideal pulley to the box and a massless rope to the ceiling, which you wrap around the pulley. you pull up on the rope to lift the box. use g for the magnitude of the acceleration due to gravity and neglect friction forces. once you have pulled hard enough to start the box moving upward, what is the magnitude f of the upward force you must apply to the rope to start raising the box with constant velocity? express the magnitude of the force in terms of m, the mass of the box.

Exercise 2. find the wavelength of a photon emitted when an electron jumps from the n = 3 energy level down to the n = 2 energy level. where is this photon in the electromagnetic spectrum?

The frequency of the fundamental of the guitar string is 320 hz. at what speed v do waves move along that string?