A 25kg box starts from rest and slides down a 200m frictionless ramp that has an angle of 20degrees from the horizontal. What is the acceleration of the box. 4pts. Draw a Freebody diagram, assign a meaningful coordinate system, identify all forces acting on the free body diagram.
2pts. Apply Newton’s second law to show how you calculate net force and the relationship between mass and acceleration.
2pts. Identify known and unknown variables.
2pts. Solve

Cyclotrons are widely used in nuclear medicine for producing short-lived radioactive isotopes. these cyclotrons typically accelerate h- (the hydride ion, which has one proton and two electrons) to an energy of 5 mev to 20 mev. this ion has a mass very close to that of a proton because the electron mass is negligible—about 1 2000 of the proton’s mass. a typical magnetic field in such cyclotrons is 1.9 t. (a) what is the speed of a 5.0-mev h-? (b) if the h- has energy 5.0 mev and b = 1.9 t, what is the radius of this ion’s circular orbit?