A small block of mass 250-g is connected to two springs with spring constant k1 (20N/m) and k2 (40N/m, both springs have not been stretched either compressed). The system is set at vertical position (K1 connected to a ceiling, block in middle, K2 connected to ground). (a) Find the equilibrium position of the block (b) Prove the block performs SHM with a small displacement from its equilibrium position Find the frequency of the SHM

Acyclotron is used to produce a beam of high-energy deuterons that then collide with a target to produce radioactive isotopes for a medical procedure. deuterons are nuclei of deuterium, an isotope of hydrogen, consisting of one neutron and one proton, with total mass 3.34×10−27kg. the deuterons exit the cyclotron with a kinetic energy of 6.40 mev .a-what is the speed of the deuterons when they exit? b-if the magnetic field inside the cyclotron is 1.25 t, what is the diameter of the deuterons' largest orbit, just before they exit? c-if the beam current is 350 μa how many deuterons strike the target each second?