Frictionless ice surface As shown above, a 0.140-kg ice hockey puck (m1) has a velocity of 35.0 m/s and is moving to the right (in the positive x direction) toward a 60.0-kg ice hockey goalie (m2) who is originally moving backward (i.e., toward the right, in the positive x direction) at 0.100 m/s. The puck and goalie have a perfectly inelastic collision. We can assume that the friction between the ice and the puck-goalie system is negligible as is the air resistance. Although I will not be collecting the details of your work on this problem because it is an online multiple-choice question, I urge you to follow the steps outlined below to solve it. (a) Use the GFS method to show and explain each step of your work. (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, and v' to label the before-and-after sketch. (c) Immediately after this perfectly inelastic collision, what is the recoil velocity of the puck and goalie in m/s to three significant figures? To answer this question, write out the equation you will use to find the recoil velocity, simplify it using the Given, and then solve for the recoil velocity v' in m/s to three significant figures. (d) To check your work, calculate the change in the puck-goalie system's internal kinetic energy (AKE). To find AKE, 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'). For this problem, you should find that AKE equals -85.1 J. 0.304 m/s O 0.253 m/s O 0.292 m/s O 0.181 m/s O 0.219 m/s
Frictionless ice surface As shown above, a 0.140-kg ice hockey puck (m1) has a velocity of 35.0 m/s and is moving to the right (in the positive x direction) toward a 60.0-kg ice hockey goalie (m2) who is originally moving backward (i.e., toward the right, in the positive x direction) at 0.100 m/s. The puck and goalie have a perfectly inelastic collision. We can assume that the friction between the ice and the puck-goalie system is negligible as is the air resistance. Although I will not be collecting the details of your work on this problem because it is an online multiple-choice question, I urge you to follow the steps outlined below to solve it. (a) Use the GFS method to show and explain each step of your work. (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, and v' to label the before-and-after sketch. (c) Immediately after this perfectly inelastic collision, what is the recoil velocity of the puck and goalie in m/s to three significant figures? To answer this question, write out the equation you will use to find the recoil velocity, simplify it using the Given, and then solve for the recoil velocity v' in m/s to three significant figures. (d) To check your work, calculate the change in the puck-goalie system's internal kinetic energy (AKE). To find AKE, 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'). For this problem, you should find that AKE equals -85.1 J. 0.304 m/s O 0.253 m/s O 0.292 m/s O 0.181 m/s O 0.219 m/s
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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IGNORE THE GFS METHOD. JUST SOLVE THE PROBLEM.
Transcribed Image Text:## Educational Resource: Perfectly Inelastic Collision
### Diagram Explanation
- **System of Interest:** The diagram shows a system before the collision involving a hockey puck (\( m_1 \)) and a goalie (\( m_2 \)) on a frictionless ice surface. The puck moves to the right with velocity \( v_1 \), while the goalie moves in the same direction with velocity \( v_2 \).
- **Collision Description:** The interaction leads to a perfectly inelastic collision.
### Problem Description
A 0.140-kg ice hockey puck (\( m_1 \)) travels at 35.0 m/s toward a 60.0-kg goalie (\( m_2 \)), moving backward at 0.100 m/s, both in the direction of increasing x. Assume negligible friction and air resistance.
### Steps to Solve
Despite the automated nature of this question, the following tasks aid conceptual understanding:
#### (a) Use the GFS Method
- Detail each step of the solution.
#### (b) Illustrate Before and After the Collision
- Sketch the puck-goalie system at both stages.
- Correctly label velocities \( v_1 \), \( v_2 \), and \( v' \).
#### (c) Calculate the Recoil Velocity
- Determine the recoil velocity \( v' \) post-collision to three significant figures.
#### (d) Verify by Checking Kinetic Energy Change (\( \Delta KE \))
- Compute the change in internal kinetic energy (\( \Delta KE \)).
- Calculate \( \Delta KE = -85.1 \, \text{J} \).
### Answer Choices for Recoil Velocity
- 0.304 m/s
- 0.253 m/s
- 0.292 m/s
- 0.181 m/s
- 0.219 m/s
This exercise requires a comprehensive application of momentum and energy conservation principles.
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