(Solved): Pls help asap will give u thumbs up thanks on parts b and c Two billiard balls with the same mass \ ...

Pls help asap will give u thumbs up thanks on parts b and c

Two billiard balls with the same mass \( m \) move towards one another. Ball one moves in the positive \( x \)-direction with a speed of \( v_{1 \mathrm{i}} \), and ball two moves in the negative \( x \)-direction with a speed of \( v_{2 \mathrm{i}} \). The two balls collide elastically, and both balls change direction after the collision. \( 33 \% \) Part (a) Write an expression for the horizontal component of the system's initial momentum, \( p_{\mathrm{i}, \mathrm{x}} \), in terms of \( m, v_{1 \mathrm{i}} \) and \( v_{2 \mathrm{i}} \). \( p_{\mathrm{i}, \mathrm{x}}=\mathrm{m}\left(\mathrm{v}_{1 \mathrm{i}}-\mathrm{v}_{2 \mathrm{i}}\right) \quad \checkmark \) Correct! \( \nabla 33 \% \) Part (b) Write an expression for the horizontal component of the system's final momentum, \( p_{\mathrm{f}, \mathrm{x}} \), in terms of \( m \) and the final speeds of ball one and ball two, \( v_{2 \mathrm{f}} \). \[ p_{\mathrm{f}, \mathrm{x}}= \] Hints: deduction per hint. Hints remaining: \( \underline{2} \) Feedback: deduction per feedback. \( \triangle 33 \% \) Part (c) If the initial speeds of the balls were \( v_{1 \mathrm{i}}=2.0 \mathrm{~m} / \mathrm{s} \) and \( v_{2 \mathrm{i}}=1.0 \mathrm{~m} / \mathrm{s} \), what would be the final speed and direction of ball two, \( v_{2 \mathrm{f}} \), in \( \mathrm{m} \) per second?