As shown above, a 0.130-kg ice hockey puck (m1) has a velocity v1 of 33.0 m/s and is moving to the right (in the positive x direction) toward a 65.0-kg ice hockey goalie (m2) who is originally moving backward (i.e., toward the right, in the positive x direction) at v2 m/s. The puck and goalie have an elastic collision and the puck is reflected back in the direction from which it came while the goalie's new backward velocity (i.e., he is still moving toward the right, in the positive x direction) becomes v2' = 1.30 m/s. We can assume that the friction between the ice and the puck-goalie system is negligible as is the air resistance. Please read the following questions carefully and follow the instructions to solve each part of this problem. (a) Please write neatly and clearly, use the GFS method to show and explain each step of your work, and use only standard variables like the ones we have employed in class. In addition, please explicitly show any unit conversions this problem may require. Please do not type your solution on this Bb page. (b) Draw a sketch of the puck-goalie system before and after the collision, being sure to label and draw correctly all the velocities involved. Use m1, m2, v1, v2, v1', and v2' to label the before-and-after sketch. (c) Write out the equations you will use to find v2, simplify them using the Given, and then solve for v2 but do not plug in any numbers yet. Next, plug in the numbers to find v2 in m/s to three significant figures. Hint: Can you use the "short cut" equation to solve this problem? (d) Write out the equation(s) you will use to find v1' but do not plug in any number yet. Next, plug in the numbers to find v1' to three significant figures. Hint: Your answer must include this velocity's correct sign. (e) As a result of this elastic collision, what is the change in the puck-goalie system's internal kinetic energy (AKE)? To answer this question, calculate to three significant figures the total internal kinetic energy of the puck-goalie system just prior to the collision (KE) and then subtract it from its total internal kinetic energy to three significant figures just after the collision (KE'). Please write out the equation(s) you will use before plugging in any numbers. (A Does the result vou obtained for AKE make sense? Why or why not? Explain.

As shown above, a 0.130-kg ice hockey puck (m1) has a velocity v1 of 33.0 m/s and is moving to the right (in the positive x direction) toward a 65.0-kg ice hockey goalie (m2) who is originally moving backward (i.e., toward the right, in the positive x direction) at v2 m/s. The puck and goalie have an elastic collision and the puck is reflected back in the direction from which it came while the goalie's new backward velocity (i.e., he is still moving toward the right, in the positive x direction) becomes v2' = 1.30 m/s. We can assume that the friction between the ice and the puck-goalie system is negligible as is the air resistance. Please read the following questions carefully and follow the instructions to solve each part of this problem. (a) Please write neatly and clearly, use the GFS method to show and explain each step of your work, and use only standard variables like the ones we have employed in class. In addition, please explicitly show any unit conversions this problem may require. Please do not type your solution on this Bb page. (b) Draw a sketch of the puck-goalie system before and after the collision, being sure to label and draw correctly all the velocities involved. Use m1, m2, v1, v2, v1', and v2' to label the before-and-after sketch. (c) Write out the equations you will use to find v2, simplify them using the Given, and then solve for v2 but do not plug in any numbers yet. Next, plug in the numbers to find v2 in m/s to three significant figures. Hint: Can you use the "short cut" equation to solve this problem? (d) Write out the equation(s) you will use to find v1' but do not plug in any number yet. Next, plug in the numbers to find v1' to three significant figures. Hint: Your answer must include this velocity's correct sign. (e) As a result of this elastic collision, what is the change in the puck-goalie system's internal kinetic energy (AKE)? To answer this question, calculate to three significant figures the total internal kinetic energy of the puck-goalie system just prior to the collision (KE) and then subtract it from its total internal kinetic energy to three significant figures just after the collision (KE'). Please write out the equation(s) you will use before plugging in any numbers. (A Does the result vou obtained for AKE make sense? Why or why not? Explain.