Physics $101$: Final Exam

$0\mathrm{.}80(9\mathrm{.}0)+0=0\mathrm{.}80(-3\mathrm{.}0)+1\mathrm{.}6$

$7\mathrm{.}4+2\mathrm{.}4=-2\mathrm{.}4+1\mathrm{.}6v$

Problems $10$&$11$ refer to the collision of two carts on a frictionless surface, as depicted in the figure. Cart #$1$ has a mass of $0\mathrm{.}80$ kg and an initial speed of $9\mathrm{.}0\frac{m}{s}$ before colliding with cart #$2,$ which is initially at rest and has a mass of $1\mathrm{.}6$ kg $.$

As a result of the collision, cart #$1$ rebounds and moves to the left at $3\mathrm{.}0\frac{m}{s}.$ What is the speed of cart #$2$ after the collision?

A$)2\mathrm{.}4\frac{m}{s}$

B$)4\mathrm{.}0\frac{m}{s}$

D$)8\mathrm{.}0\frac{m}{s}$

If$,$ instead of rebounding, cart #$1$ came to a stop as a result of the collision, which of the following statements about cart #$2$ after the collision would be true:

A$.$ Cart #$2$ would move faster if cart #$1$ stopped

B$)$ Cart #$2$ would move slower if cart #$1$ stopped

C$)$ Cart #$2$ would move the same speed if cart #$1$ stopped