Assignment name: 5.1-5.3 Extra P X + X - > C A apclassroom.collegeboard.org/93/assessments/assignments/49764966 2 X # ON Update : 5.1-5.3 Extra Practice Submit X 1 2 3 4 6 6 7 8 9 10 7 of 10 > This question is a long free-response question. Show your work for each part of the question. (15 points, suggested time 25 minutes) +V O Region of Magnetic Field Hole +9 m Plates' A potential difference V exists between two parallel plates that are separated by a distance d. A particle of mass m and charge + q is accelerated from rest through the potential difference, and as a result moves between the plates in a straight line in the plane of the page, as shown above. The particle reaches the right-hand plate with a speed v, passes through a hole in the plate, and enters a region containing a uniform magnetic field. The particle then follows the semicircular path shown. Gravitational effects are negligible. (a) Would the speed v of the particle be greater, smaller, or the same if the magnitude of the particle's charge was greater? Explain your answer. B JU X X2 3 C 2 C Q Search 10:44 PM 2/9/2023Assignment name: 5.1-5.3 Extra P X + X - > C A apclassroom.collegeboard.org/93/assessments/assignments/49764966 LEX # ON Update : 5.1-5.3 Extra Practice Submit X 1 2 3 4 5 6 7 8 9 10 7 of 10 A potential difference V exists between two parallel plates that are separated by a distance d. A particle of mass m and charge + q is accelerated from rest through the potential difference, and as a result moves between the plates in a straight line in the plane of the page, as shown above. The particle reaches the right-hand plate with a speed v, passes through a hole in the plate, and enters a region containing a uniform magnetic field. The particle then follows the semicircular path shown. Gravitational effects are negligible. (a) Would the speed v of the particle be greater, smaller, or the same if the magnitude of the particle's charge was greater? Explain your answer. B 0 / 10000 Word Limit (b) A student derives the equation v = for the speed of the particle. Whether or not the equation is correct, is it consistent with your answer to part (a)? Explain your reasoning. B I y X X2 3 CQ # 1 0 0 / 10000 Word Limit (c) A student equates the following two expressions to determine how an increase in the magnitude of the magnetic field affects the radius of its path in the field. " for the magnitude of the net force on an object in uniform circular motion with radius r qu B for the magnitude of the force on a charged particle in a magnetic field of magnitude B Describe the relationship between the magnetic field magnitude and the radius of the particle's path indicated by these expressions, and indicate how an increase in the magnetic field affects the radius. B 0 / 10000 W (d) Another student writes the equation T = (B2 + qV) 2Vm for the radius of the path. Whether or not the equation is correct, is it consistent with your answer to part (c)? Explain your reasoning C Q Search 73' 10 10:44 PM 2/9/2023Assignment name: 5.1-5.3 Extra P X + X C A apclassroom.collegeboard.org/93/assessments/assignments/49764966 Update : 5.1-5.3 Extra Practice Submit X 1 2 3 4 5 6 7 8 9 10 0 / 10000 Word Limit (c) A student equates the following two expressions to determine how an increase in the magnitude of the magnetic field affects the radius of its path in the field. for the magnitude of the net force on an object in uniform circular motion with radius r qu B for the magnitude of the force on a charged particle in a magnetic field of magnitude B Describe the relationship between the magnetic field magnitude and the radius of the particle's path indicated by these expressions, and indicate how an increase in the magnetic field affects the radius. BIU XXOCR BE 0 / 10000 Word Limit (d) Another student writes the equation r 2Vm for the radius of the path. Whether or not the equation is correct, is it consistent with your answer to part (c)? Explain your reasoning. (B +qV) B I y X X2 3 CR E E Q 0 / 10000 Word Limit (e) An electric field can be applied in the region containing the magnetic field that will cause the particle to have a component of motion out of the page (toward the reader). What is the direction of such an electric field? Justify your answer. 0 / 10000 Word Limit Q Search 10:44 PM 2/9/2023Assignment name: 5.1-5.3 Extra P X + X C A apclassroom.collegeboard.org/93/assessments/assignments/49764966 2 X # ON Update : 5.1-5.3 Extra Practice Submit X 1 2 3 4 5 6 7 8 9 10