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- A pendulum consists of a small object called a bob hanging from a light cord of fixed length, with the top end of the cord fixed, as represented in Figure OQ5.6. The bob moves without friction, swinging equally high on both sides. It moves from its turning point A through point B and reaches its maximum speed at point C. (a) Of these points, is there a point where the bob has nonzero radial acceleration and zero tangential acceleration? If so, which point? What is the direction of its total acceleration at this point? (b) Of these points, is there a point where the bob has nonzero tangential acceleration and zero radial acceleration? If so, which point? What is the direction of its total acceleration at this point? (c) Is there a point where the bob has no acceleration? If so, which point? (d) Is there a point where the bob has both nonzero tangential and radial acceleration? If so, which point? What is the direction of its total acceleration at this point? Figure OQ5.6A 700-g rock is attached to a half-meter (massless) string and is spun on the other end on vertical plane. The rock makes a complete revolution every 0.21 seconds. What is the tension of the string at the top of the circular trajectory, and at the bottom of the circular trajectory? What is the difference in total energy at the top and bottom of the trajectory?Q4. A ball of mass m attached to one end of a thin, light, inextensible string moves with speed vo in a circle of radius ro in free space. Calculate the work required to reduce the radius from rotor by pulling the other end of the string through a smooth tube that is perpendicular to the plane of the circle. Express the result in terms of m, vo, ro and r. (HINTS: 1) Tension in the string is a central force and therefore the angular momentum is conserved 2) If radius changes then the speed changes, hence the KE. (Use work-energy theorem) See the representative figure given below: ७o
- A .20 kg baseball is thrown in the air at 18 m/s at an angle of 35 degrees. How much potential and kinetic energy does it have .50 seconds into its flight? What are its potential and kinetic energies at the very top of its arc? Please answer the question on paper. I do not understand when it is typed out. Thank you3. An object is launched from the surface of the Earth with speed v₁ at an angle = 30° to an axis perpendicular to the surface. The object's low-orbit path is displayed in the figure below, reaching a maximum height (called apogee) of 3R from the Earth's center, where R₂ = 6371 km. The mass of the Earth is M = 5.972 × 1024 kg. b. Is energy conserved in this motion?" 3R २A 0.050kg pendulum is hung from the ceiling of a train so that when the train sits motionless on a banked curve which turns to the right with a turn radius of 210m, the pendulum hangs at an angle of 8.0° to the right of a line perpendicular to the ceiling and floor of the train. How fast is the train going around the same curve if the pendulum bob swings 12° to the left of a line running perpendicular to the floor and ceiling?
- A1 013-kg satellite orbits the Earth at a constant altitude of 99-km. (a) How much energy must be added to the system to move the satellite into a circular orbit with altitude 208 km? 517.49 MJ (b) What is the change in the system's kinetic energy? 1034.98 Is the satellite moving faster or slower when it's orbit is at a higher altitude? MJ (c) What is the change in the system's potential energy? -517.49 You appear to have correctly calculated the change in potential energy using your incorrect result from parts (a) and (b). MJ Need Help? Read It Watch ItA 977-kg satellite orbits the Earth at a constant altitude of 101-km. (a) How much energy must be added to the system to move the satellite into a circular orbit with altitude 205 km? 892.8 How is the total energy of an object in circular orbit related to the potential energy? MJ (b) What is the change in the system's kinetic energy? 178 Is the satellite moving faster or slower when it's orbit is at a higher altitude? MJ (c) What is the change in the system's potential energy? MJThe racing airplane is beginning an inside loop in the vertical plane. The tracking station at Orecords the followeing data for a particular instant: r= 82 m, t= 19.0 m/s, - 74.5 m/s, 0-33, 0-0.58 rad/s, and 0-0.33 rad/s Determine the values of v. v. p, and t this instant. U, 6 Answers: m/s m Click if you wvould like to Show Work for this question: Oeen Sho Werk
- A rock is attached to an end of a 0.80 m rope. You whirl the 2.0 kg rock in a circle while holding m the other end of the rope. If it moves at a constant speed of 6.0 -, what is the work done on S the rock for every revolution it makes? O 90 J zero 72 J O 16 JA light, rigid rod is 77.0 cm long. Its top end is pivoted on a frictionless, horizontal axle. The rod hangs straight down at rest with a small, massive ball attached to its bottom end. You strike the ball, suddenly giving it a horizontal velocity so that it swings around in a full circle. What minimum speedat the bottom is required to make the ball go over the top of the circle? Answer : 5.49 m/s. A Satellite in an elliptical orbit is moving from position A, where its Kinetic energy is 15 MJ and its total mechanical energy is 27 MJ, to a new position B, where its kinetic energy is 12 Mj. What is the work done (if any) by the net force acting on the satellite, when it moves from A to B? Is the satellite getting closer or going away from the planet it is orbiting around? What is the total mechanical energy of the satellite at point B?