Consider a system of two particles in the XY plane: m1 = 2.00 kg is at the location r1=(1.00i + 2.00j) m and has a velocity of (3.00i + 0.500j) m/s; m2=3.00 kg is at r2= (-4.00i-0.500j)m and has velocity (3.00i- 2.00j)m/s. (a) Plot these particles on a grid or graph paper. Draw their position vectors and show their velocities. (b) Find the position of the center of mass of the system and mark it on the grid. (c) Determine the velocity of the center of mass and also show it on the diagram.

In a ballistic pendulum demonstration gone bad, a 0.54 gg pellet, fired horizontally with kinetic energy 3.30 JJ , passes straight through the 400 gg Styrofoam pendulum block. If the pendulum rises a maximum height of 0.52 m , how much kinetic energy did the pellet have after emerging from the Styrofoam?

Two 1.9 kg bodies, A and B, collide. The velocities before the collision are v A= (14î + 34 j) m/s and v = (-15î + 9.0j) m/s. After the collision, v = (-7.oî + 16 j) m/s. (a) What is the final velocity of B? m/s (b) What is the change in the total kinetic energy (including sign)? 121.69 J The net external force on the two particle system is zero; thus, the net momentum of the system cannot change. The net momentum along the x axis before the collision must equal that after the collision. Same for the y axis. Use the definition of kinetic energy to find the total K before the collision and the total K after.

Joey has a mass of 50 kg and he is standing at rest on the friction-less ice. His partner tosses him a ball with a mass of 10 kg and a speed of 6 m/s. Joey catches the ball firmly and he slides backward  on the ice with a speed of Which below? 4 m/s 1 m/s 6 m/s