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A particle is suspended from a post on top of a can by a light string of length L. as shown in Figure P9.57a. The can and particle are initially moving to the right at constant speed the with the string vertical. The can suddenly comes to rest when it runs into and sticks to a bumper as shown in Figure P9.57b. The suspended panicle swings through an angle θ. (a) Show that the original speed of the cart can be computed from.
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Chapter 9 Solutions
Bundle: Physics for Scientists and Engineers, Technology Update, 9th Loose-leaf Version + WebAssign Printed Access Card, Multi-Term
- As shown in Figure P8.20, a bullet of mass m and speed v passes completely through a pendulum bob of mass M. The bullet emerges with a speed of v/2. The pendulum bob is suspended by a stiff rod (not a string) of length , and negligible mass. What is the minimum value of v such that the pendulum bob will barely swing through a complete vertical circle? Figure P8.20arrow_forwardA cart filled with sand rolls at a speed of 1.0 m/s along a horizontal path without friction. A ball of mass m = 2.0 kg is thrown with a horizontal velocity of 8.0 m/s toward the cart as shown in Figure P11.79. The ball gets stuck in the sand. What is the velocity of the cart after the ball strikes it? The mass of the cart is 15 kg. FIGURE P11.79 Problems 79 and 80.arrow_forwardTwo children, with masses m1 = 35.0 kg and m2 = 43.0 kg, are swinging on a tire swing attached to a tree overhanging a pond. The mass of the tire is negligible. At the lowest point of the swinging motion, the tension in each of the three vertical 4.00-m-long chains supporting the swing is 275 N. a. What is the speed of the children at the lowest point of the swinging motion? b. What is the force exerted on each child by the tire at the lowest point of the swinging motion?arrow_forward
- Homeworkarrow_forwardPool players often pride themselves on their ability to impart a large speed to a pool ball. In the sport of billiards, event organizers often remove one of the rails on a pool table to allow players to measure the speed of their break shots (the opening shot of a game in which the player strikes a ball with his pool cue). With the rail removed, a ball can fly off the table, as shown in the figure. h d The surface of the pool table is h = 0.750 m from the floor. The winner of the competition wants to know if he has broken the world speed record for the break shot of 32 mph (about 14.3 m/s). If the winner's ball landed a distance of d = 5.15 m from the table's edge, calculate the speed of his break shot vo. Assume friction is negligible. m/sarrow_forwardA 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/sarrow_forward
- v 16 cm/s A simple pendulum, consisting of a lightweight 25-cm rod and a small 500-g weight, pivots from point P and swings back and forth. At the bottom of its circular trajectory, its speed is 16 cm/s. What is the acceleration of the weight at that point? 23 cm/s2 O 9.8 m/s2 O 1.6 m/s2. O 10 cm/s?arrow_forwardThe carbon isotope 14C is used for carbon dating of archeological artifacts. 14C (mass 2.34 x 10-26 kg) decays by the process known as beta decay in which the nucleus emits an electron (the beta particle) and a subatomic particle called a neutrino. In one such decay, the electron and the neutrino are emitted at right angles to each other. The electron (mass 9.11 x 10-31 kg) has a speed of 5.00 x 107 m/s and the neutrino has a momentum of 8.00 x 10-24 kg • m/s. What is the recoil speed of the nucleus?arrow_forwardA ping pong ball was dropped inside the bowl and was at rest initially then a person pushed the ping pong ball causing the ball to roll and also allowing the ball to not slip while rolling. By knowing that the ping pong ball is solid and has a radius of “r” and letting the “R” be the bowl radius, find the speed of the ping pong ball as it passes through the lowest point of the bowl as shown in figure where it starts from θ measured from the dotted vertical line through the center of the bowl without the ping pong ball slipping inside of the bowl.arrow_forward
- A massless spring of constant k =78.4 N/m is fixed on the leftside of a level track. A block of mass m = 0.50 kg is pressedagainst the spring and compresses it a distance d, as in FigureP7.74. The block (initially at rest) is then released andtravels toward a circular loop-the-loop of radius R= 1.5 m.The entire track and the loop-the-loop are frictionless, except for the section of track between points A and B. Given thatthe coefficient of kinetic friction between the block and thetrack along AB is μk = 0.30 and that the length of AB is 2.5 m,determine the minimum compression d of the spring thatenables the block to just make it through the loop-the-loop atpoint C. Hint: The force exerted by the track on the block willbe zero if the block barely makes it through the loop-the-loop.arrow_forwardA massless spring of constant k = 78.4 N/m is fixed on the left side of a level track. A block of mass m = 0.50 kg is pressed against the spring and compresses it a distance d , as in Figure P7.76. The block (initially at rest) is then released and travels toward a circular loop-the-loop of radius R = 1.5 m. The entire track and the loop-the-loop are frictionless, except for the section of track between points A and B Given that the coefficient of kinetic friction between the block and the track along AB is μk 5 0.30, and that the length of AB is 2.5 m, determine the minimum compression d of the spring that enables the block to just make it through the loop-the-loop at point C. Hint: The force exerted by the track on the block will be zero if the block barely makes it through the loop-the-loop.arrow_forwardOur friend Wile E. Coyote (SuperGenius) has developed another secret yet incredibly cunning plan to catch the Road Runner. The plan hinges upon the proper placement of his new cme^ TM Mobile Large Spherical Projectile Launch Apparatus ... in other words, a really big cannon on wheels. Our hero pushes the 2120 kg cannon from rest to a speed of 8.75 m/s over a horizontal surface with a constant horizontal force. During this time, the cannon moves a whopping distance of 48 meters. Neglecting any friction between the cannon and the surface, determine: (a) The work done by Wile E. Coyote ; (b) The constant horizontal force exerted on the cannon .arrow_forward
- Physics for Scientists and Engineers, Technology ...PhysicsISBN:9781305116399Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningPrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
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