1. Problem Solving For Conservation of Momentum problems: 1.BEFORE and AFTER 2.Do X and Y Separately

2. Before X Y From Dr. Toback’s website

3. After Y X From Dr. Toback’s website

4. A mass m 1 moves along the x axis with velocity of magnitude v 0 on a frictionless table. It strikes another mass m 2 which is initially at rest. The mass m 1 goes off along the y axis. If half of the original kinetic energy is lost in the collision, with what speed and at what angle does m 2 leave the point of collision? Draw a figure and write the equations but do not solve them! Quiz

5. Polar coordinates

6. Coordinates on a sphere: latitude and longitude

7. A satellite of mass m is attracted to the Earth of mass M with a force of gravity proportional to the inverse square of the distance to the Earth center, r: Calculate the work done by this force: a) If the satellite moves out along a radius vector from B (r B from the origin) to C (r C from the origin). b) if the satellite moves from A to B where A and B are points on a circle, centered at the origin; Find the velocity, the kinetic energy, and the potential energy of a satellite on a circular orbit of radius r.  is a gravitational constant

8. A mass m 1 is going around in a circle on a string on a frictionless table and the string goes through a hole where it is attached to a hanging mass m 2. If the mass m 1 is going around with constant, what must the distance from the mass m 1 to the hole be if the mass m 2 is to remain at rest? m1m1 m2m2

9. A race track designer wants to have the cars able to maintain a speed v max without skidding on a circular track. If the track is flat with a coefficient of friction  what does the radius have to be? A race track designer wants to have the cars able to maintain a speed v max without skidding. At what angle must the track of radius R be banked assuming no friction? Assuming a coefficient of friction  ?

10. Platform rotates with a constant angular velocity  0. At t = 0 it starts rotating with angular acceleration  (t)=  t. At the same time a man starts a distance L from the center and walks in along a straight line painted on the platform towards the center. He decreases his distance from the center at a constant rate, V 0. What force does the platform exert on the man, as a function of his distance from the center?