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UT PHY 317K - Review for Exam
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PHY 317K 1st Edition Lecture 12Outline of Last LectureI. Angular Velocity and Acceleration VectorsII. Torque and the Vector Cross ProductIII. Angular MomentumIV. Conservation of Angular MomentumOutline of Current LectureI. Practice ProblemsCurrent LecturePractice Problems:1.A cart loaded with bricks has a total mass of 21.6 kg and is pulled at constant speed by a rope. The rope is inclined at 27.8 ◦ de- grees above the horizontal and the cart moves 31.7 m on a horizontal floor. The coefficient of kinetic friction between ground and cart is 0.329. The acceleration of gravity is 9.8 m/s2 .How much work is done on the cart by the rope?Answer: 1.88133 kJ2.A weight lifter lifts a mass m at constant speed to a height h in time t. How much work W is done by the weight lifter?Answer: W = mgh3. A block of mass 4 kg, which has an initial speed of 5m/s at time t=0,slides on a horizontalsurface. Find the magnitude of the work that must be done on the block to bring it to rest. Answer: 50J4. A 0.321 kg mass is attached to a spring with a spring constant 199 N/m so that the mass is allowed to move on a horizontal frictionless surface. The mass is released from rest when the spring is compressed 0.184 m. Find the maximum force on the mass. Answer: 36.616 N5. Find the maximum acceleration. Answer: 114.069 m/s2.6. Two cars are lifted to the same elevation in a service station. If one car is twice as massive as the other, how do their potential energies compare? Answer: The car which is twice as massive as the other will have twice potential energy.7. A 0.2 kg bead slides on a curved wire, starting from rest at point A as shown in the figure. The segment from A to B is frictionless, and the segment from B to C is rough. Thepoint Aisatheight6.1mandthepointCisat height 2.3 m with respect to point B. Find the speed of the bead at B. The acceleration due to gravity is 9.8 m/s2 . Answer: 10.9343 m/s8. If the bead comes to rest at C, find the change in mechanical energy due to friction as it moves from B to C. Answer: −7.448 J9. An ostrich with a mass of 152 kg is running to the right with a velocity of 13 m/s. Find the momentum of the ostrich Answer: 1976 kg · m/s10. A spring with a force constant of 5.4 N/m has a relaxed length of 2.36 m. When a mass isattached to the end of the spring and allowed to come to rest, the vertical length of the spring is 3.88 m. Calculate the elastic potential energy stored in the spring. Answer: 6.23808


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