... Question 10 of 10 This is a challenging problem. Solve it on paper, writing out each...

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Question 10 of 10 This is a challenging problem. Solve it on paper, writing out each step carefully. When doing calculations, do not round intermediate values. Note: If you have approached the problem in a principled way, do not abandon your approach if your numerical answer is not accepted; check your calculations! Part 1 A particle with mass M and charge +e and its antiparticle (same mass M, charge-e) are initially at rest, far from each other. They attract each other and move toward each other. (a) Which of the diagrams below correctly shows the energy of the two particle system as a function of separation? 7:54 PM Sat Nov 11. K+U V Avr K+U Part 5 Chapter 6: Homework 2 Save for Later < Question 10 of 10 < Part 6 K+U Save for Later K+U 14 of 14 (e) When the pions are far apart, what is true of their speed? (d) Now consider a specific case: a proton and an antiproton, each with an initial speed of 5.2 x 107 m/s when they are far apart. When these two particles collide, they react to form two new particles: a positive pion (+, charge +e) and a negative pion (.charge-e). Each pion has a rest mass of 2.5 x 10-28 kg. These pions have enough energy that they move away from each other. When these two pions have moved very far away from each other, how fast is each pion going, u? m/s -/15 E education.wiley.com r Later eTextbook and Media Attempts: 0 of 6 used -/15 SUPPORT 82% 4 (f) As the pions move away from each other, the ratio of the absolute value of electric potential energy to the final total kinetic energy K of the two pions as changes. At some point, the potential energy becomes negligible compared to the final total kinetic energy K. We can consider that the value of the ratio is about 0.01 when U < < K, where K is the final total kinetic energy of the two pions. K What will the distance, r, between the pions be when this criterion is satisfied? m Submit Answer Attempts: 0 of 6 used Submit Answer I SUPPORT Attempts: 0 of 6 used Submit Answer Chapter 6: Homework 2 Question 10 of 10 < Part 2 (b) While the particles are moving toward each other, the rest energy of the system 0 Save for Later Part 3 O K+U A G A K+U > (c) If instead, when the particles were far from each other, they were not at rest, but were moving toward each other with the same nonzero speed, which of the diagrams in part (a) would correctly show the energy of this system as a function of separation? K+U K+U small -/15 E Attempts: 0 of 6 used Submit Answer SUPPORT Question 10 of 10 This is a challenging problem. Solve it on paper, writing out each step carefully. When doing calculations, do not round intermediate values. Note: If you have approached the problem in a principled way, do not abandon your approach if your numerical answer is not accepted; check your calculations! Part 1 A particle with mass M and charge +e and its antiparticle (same mass M, charge-e) are initially at rest, far from each other. They attract each other and move toward each other. (a) Which of the diagrams below correctly shows the energy of the two particle system as a function of separation? 7:54 PM Sat Nov 11. K+U V Avr K+U Part 5 Chapter 6: Homework 2 Save for Later < Question 10 of 10 < Part 6 K+U Save for Later K+U 14 of 14 (e) When the pions are far apart, what is true of their speed? (d) Now consider a specific case: a proton and an antiproton, each with an initial speed of 5.2 x 107 m/s when they are far apart. When these two particles collide, they react to form two new particles: a positive pion (+, charge +e) and a negative pion (.charge-e). Each pion has a rest mass of 2.5 x 10-28 kg. These pions have enough energy that they move away from each other. When these two pions have moved very far away from each other, how fast is each pion going, u? m/s -/15 E education.wiley.com r Later eTextbook and Media Attempts: 0 of 6 used -/15 SUPPORT 82% 4 (f) As the pions move away from each other, the ratio of the absolute value of electric potential energy to the final total kinetic energy K of the two pions as changes. At some point, the potential energy becomes negligible compared to the final total kinetic energy K. We can consider that the value of the ratio is about 0.01 when U < < K, where K is the final total kinetic energy of the two pions. K What will the distance, r, between the pions be when this criterion is satisfied? m Submit Answer Attempts: 0 of 6 used Submit Answer I SUPPORT Attempts: 0 of 6 used Submit Answer Chapter 6: Homework 2 Question 10 of 10 < Part 2 (b) While the particles are moving toward each other, the rest energy of the system 0 Save for Later Part 3 O K+U A G A K+U > (c) If instead, when the particles were far from each other, they were not at rest, but were moving toward each other with the same nonzero speed, which of the diagrams in part (a) would correctly show the energy of this system as a function of separation? K+U K+U small -/15 E Attempts: 0 of 6 used Submit Answer SUPPORT

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Solutions Step1 Explanation mechanical energy of the two particle system as a function of separation ... View the full answer