*) write out the solution on paper **step by
step**;

*) clearly show all steps using variable notation and algebraic
manipulation whenever possible;

*) express the solution **in symbolic form**;
and

*) substitute numerical values in the last step (not the first) so
as to obtain the numerical results.

Answer the following additional questions assuming the system is comprised of the cart and the package:

**a)** is the x-component of the momentum of the
package conserved before the collision? Explain (briefly).

**b)** is the x-component of the momentum of the cart
conserved before the collision? Explain.

**c)** is the y-component of the momentum of the
package conserved before the collision? Explain.

**d)** is the y-component of the momentum of the
cart conserved before the collision? Explain.

**e)** is the x-component of the momentum of the
system conserved during the collision? Explain.

**f)** is the y-component of the momentum of the
system conserved during the collision? Explain.

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