Two objects collide head on in an elastic collision. Assume they have equal masses but unequal velocities, such that the one coming in from the right is moving at 7 m/s toward the left, and the one coming in from the left is moving at 4 m/s toward the right. After the collision, what is the velocity of the one that came in from the left? (Use + to the right and - to the left to distinguish direction in your answer.) Answer in m/s.

to solve the question please use the equations below.  - a mass M moving with a velocity V1i collides with mass 2M moving with a velocity V2i. After the collision the first mass has a velocity V1f. make a diagram of the initial momemtub vectors and final momentum vectors in a (x,y) plane. determine the final velocity of the second mass in (I J K) notation. determine the final velocity of the second mass in terms of speed and angle. V1i=12 i -5J     V2i= -3i +2J     V1f= 8i +7J

Two blocks are released from rest on either side of a frictionless half-pipe (see the Figure below). Block B is less massive than block A. The height HB from which block B is released is less than HA, the height from which block A is released. The blocks collide elastically on the flat section. HA B HB 1) After the collision, which is correct? Block A rises to a height greater than HA and block B rises to a height less than HB. Block A rises to a height less than HA and block B rises to a height greater than HB. Block A rises to height HA and block B rises to height HB. Block A rises to height HB and block B rises to height HA. The heights to which the blocks rise depends on where along the flat section they collide. Submit

For the same collision as above, motion sensors record the velocities as a function of time for both carts. The graph of this function for the heavier cart is this: 2 t What qualities can we expect to see for a graph of velocity vs. time coming from the motion sensor recording the lighter cart's motion during the same collision? [Note: In our lab, the motion sensors are looking at their respective carts from opposite directions, so the positive direction for one sensor is the negative direction for the other, but for the purposes of this question, we will assume that the sensors agree upon the positive direction .] O The graph goes no higher than dotted line #2. The graph crosses dotted line #2, but goes no higher than dotted line #1. The graph crosses both dotted lines. There is not enough information to determine whether the graph crosses either dotted line.