Exercise 8

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11/14/2016MasteringPhysics: Print View with AnswersCh 8 SupplementalOverview[ Edit ]Summary ViewDiagnostics ViewPrint View with AnswersCh 8 SupplementalDue: 6:59pm on Wednesday, November 16, 2016To understand how points are awarded, read the Grading Policy for this assignment.Exercise 8.6Description: The mass of a regulation tennis ball is 57 g (although it can vary slightly), and tests have shown that the ballis in contact with the tennis racket for 30 ms. (This number can also vary, depending on the racket and swing.) We shallassume a.The mass of a regulation tennis ball is 57 g (although it can vary slightly), and tests have shown that the ball is in contact withthe tennis racket for 30 ms. (This number can also vary, depending on the racket and swing.) We shall assume a 30.0 mscontact time. The fastest known served tennis ball was served by “Big Bill” Tilden in 1931, and its speed was measured to be73 m/s.Part AWhat impulse did Big Bill exert on the tennis ball in his record serve? Assume that the positive direction is along the finaldirection of motion of the ball.Express your answer with the appropriate units.ANSWER:J 4.2Also accepted: 4.16, 4.2Part BWhat force did Big Bill exert on the tennis ball in his record serve?Express your answer with the appropriate units.ANSWER:Fx 140Also accepted: 139 , 140Part CIf Big Bill's opponent returned his serve with a speed of 55 m/s, what impulse did he exert on the ball, assuming onlyhorizontal motion? Assume that the positive direction is the direction the ball is traveling before it is hit by the opponent'sracket.Express your answer with the appropriate myct/assignmentPrintView?assignmentID 49090131/10

11/14/2016JMasteringPhysics: Print View with Answers 7.3Also accepted: 7.30, 7.3Part DWhat force did he exert on the ball, assuming only horizontal motion?Express your answer with the appropriate units.ANSWER:Fx 240Also accepted: 243 , 240Exercise 8.10Description: A bat strikes a 0.145 kg baseball. Just before impact, the ball is traveling horizontally to the right at v1;when it leaves the bat, the ball is traveling to the left at an angle of theta above horizontal with a speed of v2 . The .A bat strikes a 0.145 kg baseball. Just before impact, the ball is traveling horizontally to the right at 43.0 m/s ; when it leavesthe bat, the ball is traveling to the left at an angle of 31.0 above horizontal with a speed of 58.0 m/s . The ball and bat arein contact for 1.63 ms .Part AFind the horizontal and vertical components of the average force on the ball. Let x be to the right and y be upwardExpress your answers using three significant figures separated by a comma.ANSWER:,Fx Fy , 8250, 2660NExercise 8.17Description: The expanding gases that leave the muzzle of a rifle also contribute to the recoil. A .30 caliber bullet hasmass m1 and a speed of v1 relative to the muzzle when fired from a rifle that has mass m2. The loosely held rifle recoilsat a speed of v.The expanding gases that leave the muzzle of a rifle also contribute to the recoil. A .30 caliber bullet has mass 7.20 10 3 kgand a speed of 601 m/s relative to the muzzle when fired from a rifle that has mass 2.90 kg . The loosely held rifle recoils ata speed of 2.05 m/s relative to the earth.Part entPrintView?assignmentID 49090132/10

11/14/2016MasteringPhysics: Print View with AnswersFind the momentum of the propellant gases in a coordinate system attached to the earth as they leave the muzzle of therifle.ANSWER:p 1.63 kg m/sExercise 8.20Description: You are standing on a sheet of ice that covers the football stadium parking lot in Buffalo; there is negligiblefriction between your feet and the ice. A friend throws you a m1 kg ball that is traveling horizontally at 10.0 m/s. Yourmass is .You are standing on a sheet of ice that covers the football stadium parking lot in Buffalo; there is negligible friction betweenyour feet and the ice. A friend throws you a 0.500 kg ball that is traveling horizontally at 10.0 m/s. Your mass is 79.0 kg .Part AIf you catch the ball, with what speed do you and the ball move afterward?Express your answer with the appropriate units.ANSWER:v 6.29 10 2Part BIf the ball hits you and bounces off your chest, so afterward it is moving horizontally at 8.0 m/s in the opposite direction,what is your speed after the collision?Express your answer with the appropriate units.ANSWER:v 0.114Exercise 8.23Description: Two identical m kg masses are pressed against opposite ends of a light spring of force constant 1.75 N/cm,compressing the spring by l from its normal length. (a) Find the speed of each mass when it has moved free of the springon a.Two identical 0.300 kg masses are pressed against opposite ends of a light spring of force constant 1.75 N/cm,compressing the spring by 13.0 cm from its normal length.Part AFind the speed of each mass when it has moved free of the spring on a frictionless, horizontal signmentPrintView?assignmentID 49090133/10

11/14/2016MasteringPhysics: Print View with AnswersExpress your answer with the appropriate units.ANSWER:v 2.22 Exercise 8.25Description: A hunter on a frozen, essentially frictionless pond uses a rifle that shoots m1 bullets at v. The mass of thehunter (including his gun) is m2, and the hunter holds tight to the gun after firing it. (a) Find the recoil speed of the hunterif he fires .A hunter on a frozen, essentially frictionless pond uses a rifle that shoots 4.20 g bullets at 955 m/s . The mass of the hunter(including his gun) is 72.5 kg , and the hunter holds tight to the gun after firing it.Part AFind the recoil speed of the hunter if he fires the rifle horizontally.ANSWER:v 5.53 10 2m/sPart BFind the recoil speed of the hunter if he fires the rifle at 54.0 above the horizontal.ANSWER:v 3.25 10 2m/sExercise 8.31: Asteroid CollisionDescription: Two asteroids of equal mass in the asteroid belt between Mars and Jupiter collide with a glancing blow.Asteroid A, which was initially traveling at v A1 40.0 m/s with respect to an inertial frame in which asteroid B was atrest, is deflected 30.0 d.Two asteroids of equal mass in the asteroid belt between Mars and Jupiter collide with a glancing blow. Asteroid A, which wasinitially traveling at vA1 40.0 m/s with respect to an inertial frame in which asteroid B was at rest, is deflected 30.0 fromits original direction, while asteroid B travels at 45.0 to the original direction of A, as shown in entPrintView?assignmentID 49090134/10

11/14/2016MasteringPhysics: Print View with AnswersPart AFind the speed of asteroid A after the collision.ANSWER:vA2 29.3m/sPart BFind the speed of asteroid B after the collision.ANSWER:vB2 20.7m/sPart CWhat fraction of the original kinetic energy of asteroid A dissipates during this collision?ANSWER:0.196Exercise 8.37Description: On a very muddy football field, a m1 linebacker tackles an m2 halfback. Immediately before the collision,the linebacker is slipping with a velocity of v1 north and the halfback is sliding with a velocity of v2 east. (a) What is themagnitude of the.On a very muddy football field, a 120 kg linebacker tackles an 75 kg halfback. Immediately before the collision, the linebackeris slipping with a velocity of 8.5 m/s north and the halfback is sliding with a velocity of 7.2 m/s east.Part entPrintView?assignmentID 49090135/10

11/14/2016MasteringPhysics: Print View with AnswersWhat is the magnitude of the velocity at which the two players move together immediately after the collision?ANSWER:v 5.9m/sPart BWhat is the direction of this velocity ?ANSWER:θ 28 east of north.Exercise 8.44Description: A ## kg block is attached to a very light horizontal spring of force constant ## N/m and is resting on asmooth horizontal table. (See the figure below .) Suddenly it is struck by a ## kg stone traveling horizontally at ## m/s tothe right, whereupon.A 15.0 kg block is attached to a very light horizontal spring of force constant 425 N/m and is resting on a smooth horizontaltable. (See the figure below .) Suddenly it is struck by a 3.00 kg stone travelinghorizontally at 8.00 m/s to the right, whereupon the stone rebounds at 2.00 m/shorizontally to the left.Part AFind the maximum distance that the block will compress the spring after the collision.(Hint: Break this problem into twoparts the collision and the behavior after the collision and apply the appropriate conservation law to each part.)Enter your answer using three significant figures.ANSWER:x 0.376mProblem 8.65Description: Just before it is struck by a racket, a tennis ball weighing 0.560 N has a velocity of (20.0 m/s)i unit (4.0m/s)j unit. During the 3.00 ms that the racket and ball are in contact, the net force on the ball is constant and equal to (380.Just before it is struck by a racket, a tennis ball weighing 0.560 N has a velocity of (20.0 m/s) i (4.0 m/s) j3.00 ms that the racket and ball are in contact, the net force on the ball is constant and equal to. During the (380 N) i (110 N) j.Part entPrintView?assignmentID 49090136/10

11/14/2016MasteringPhysics: Print View with AnswersWhat is the x component of the impulse of the net force applied to the ball?ANSWER:Jx 1.14N sPart BWhat is the y component of the impulse of the net force applied to the ball?ANSWER:Jy 0.330N sPart CWhat is the x component of the final velocity of the ball?ANSWER:vx 5.00 10 2m/sAlso accepted: 2.96 10 2Part DWhat is the y component of the final velocity of the ball?ANSWER:vy 1.78m/sAlso accepted: 1.78Exercise 8.41Description: At the intersection of Texas Avenue and University Drive, a yellow, subcompact car with mass m1 travelingeast on University collides with a maroon pickup truck with mass m2 that is traveling north on Texas and ran a red light .The two vehicles .At the intersection of Texas Avenue and University Drive, a yellow, subcompact car with mass 900 kg traveling east onUniversity collides with a maroon pickup truck with mass 1800 kg that is traveling north on Texas and ran a red light . The twovehicles stick together as a result of the collision and, after the collision, the wreckage is sliding at 16.0 m/s in the direction 24.0 east of north. The collision occurs during a heavy rainstorm; you can ignore friction forces between the vehicles and thewet ignmentPrintView?assignmentID 49090137/10

11/14/2016MasteringPhysics: Print View with AnswersPart ACalculate the speed of the car before the collision.ANSWER:v 19.5m/sPart BCalculate the speed of the truck before the collision.ANSWER:v 21.9m/sExercise 8.43Description: A m 1 rifle bullet is fired with a speed of v into a ballistic pendulum with mass m 2, suspended from a cord70.0 cm long. (a) Compute the initial kinetic energy of the bullet;. (b) Compute the kinetic energy of the bullet andpendulum .A 11.0 g rifle bullet is fired with a speed of 360 m/s into a ballistic pendulum with mass 10.0 kg , suspended from a cord70.0 cm long.Part ACompute the initial kinetic energy of the bullet;ANSWER:K 713JPart entPrintView?assignmentID 49090138/10

11/14/2016MasteringPhysics: Print View with AnswersCompute the kinetic energy of the bullet and pendulum immediately after the bullet becomes embedded in the pendulum.ANSWER:K 0.783JPart CCompute the vertical height through which the pendulum rises.ANSWER:h 0.798cmExercise 8.53Description: Pluto's diameter is approximately 2370 km, and the diameter of its satellite Charon is 1250 km. Although thedistance varies, they are often about L apart, center to center. (a) Assuming that both Pluto and Charon have the samecomposition and hence.Pluto's diameter is approximately 2370 km, and the diameter of its satellite Charon is 1250 km. Although the distance varies,they are often about 1.95 104 km apart, center to center.Part AAssuming that both Pluto and Charon have the same composition and hence the same average density, find the locationof the center of mass of this system relative to the center of Pluto.ANSWER: 2490kmExercise 8.51Description: Three odd shaped blocks of chocolate have the following masses and center of mass coordinates: (1) m 1,( x 1, y 1); (2) m 2, ( x 2, y 2); (3) m 3, ( x 3, y 3). (a) Find the x coordinate of the center of mass of the system ofthree.Three odd shaped blocks of chocolate have the following masses and center of mass coordinates:(1) 0.300 kg , ( 0.200 m , 0.310 m ); (2) 0.390 kg , ( 0.100 m , 0.380 m ); (3) 0.210 kg , ( 0.280 m , 0.610 m ).Part AFind the x coordinate of the center of mass of the system of three chocolate blocks.ANSWER:xcm 4.47 10 2 mPart entPrintView?assignmentID 49090139/10

11/14/2016MasteringPhysics: Print View with AnswersFind the y coordinate of the center of mass of the system of three chocolate blocks.ANSWER:ycm 8.10 10 2 mCopyright 2016 Pearson. All rights reserved.Legal NoticePrivacy signmentPrintView?assignmentID 4909013Permissions10/10

(including his gun) is 72.5 , and the hunter holds tight to the gun after firing it. P a r t A Find the recoil speed of the hunter if he fires the rifle horizontally. ANSWER: P a r t B Find the recoil speed of the hunter if he fires the rifle at 54.0 above the horizontal. ANSWER: Exercise 8.31: Asteroid Collision .

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