Part 1
(a) First we consider the interaction of two objects, one of
mass m1 and the other of mass m2, where m1 > m2. The two objects
are moving with the same speed v toward each other. After they
collide the object of mass m1 has its same speed but is moving at
an angle θ relative to its initial velocity. Draw a picture showing
the momentum before the collision and the momentum after the
collision. Include an appropriate x-y coordinate axis. Make sure
your momentum vectors have appropriate sizes as well as
direction.
(b) Find the components of the final velocity of the object of
mass m2.
(c) Find the components of the impulse delivered to the object
of mass m1, and then the components of the impulse delivered to the
object of mass m2 during the collision. How are these two impulses
related?
(d) Is the force on the object of mass m1 equal to, greater
than, or less than the force exerted on the object of mass m2?
Explain.
Part 2 (a) Now consider an explosion where the initial object is
at rest and explodes into three pieces of different masses m1 <
m2 < m3. After the explosion the first two masses move with the
same speed v but with velocities separated by 60 degrees. Draw a
picture showing the momenta of the three pieces after the
collision. Include an appropriate x-y coordinate system. 2 (b) Find
the x- and y-coordinates of the velocity of the third piece of mass
m3. Evaluate any trig functions in your answers.