Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN: 9781133939146
Author: Katz, Debora M.
Publisher: Cengage Learning
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Chapter 13, Problem 28PQ
To determine
Identify the external force that accelerates the system.
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Understanding the details of timing and forces in motion can improve the performance of athletes, including dancers. Consider the forces involved in a ballet jump called a sauté demi plié. P9.84a shows the sequence of moves in the jump. The dancer starts upright, then quickly bends her knees, moving downward. After she reaches the bottom of this dip, she extends her legs, pushing herself upward. After this upward push, she leaves the ground, beginning a short period of time in the air. P9.84b is a slightly idealized graph of the net force on a 42 kg dancer executing this move.
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Understanding the details of timing and forces in motion can improve the performance of athletes, including dancers. Consider the forces involved in a ballet jump called a sauté demi plié. P9.84a shows the sequence of moves in the jump. The dancer starts upright, then quickly bends her knees, moving downward. After she reaches the bottom of this dip, she extends her legs, pushing herself upward. After this upward push, she leaves the ground, beginning a short period of time in the air. P9.84b is a slightly idealized graph of the net force on a 42 kg dancer executing this move.
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Chapter 13 Solutions
Physics for Scientists and Engineers: Foundations and Connections
Ch. 13.1 - CASE STUDY When Is Energy Conserved? Under what...Ch. 13.6 - Figure 13.24 shows a particle with momentum p....Ch. 13.7 - Prob. 13.3CECh. 13.7 - Prob. 13.4CECh. 13.7 - Prob. 13.5CECh. 13 - Prob. 1PQCh. 13 - Prob. 2PQCh. 13 - A Frisbee flies across a field. Determine if the...Ch. 13 - Prob. 4PQCh. 13 - Prob. 5PQ
Ch. 13 - Rotational Inertia Problems 5 and 6 are paired. 5....Ch. 13 - A 12.0-kg solid sphere of radius 1.50 m is being...Ch. 13 - A figure skater clasps her hands above her head as...Ch. 13 - A solid sphere of mass M and radius Ris rotating...Ch. 13 - Suppose a disk having massMtot and radius R is...Ch. 13 - Problems 11 and 12 are paired. A thin disk of...Ch. 13 - Given the disk and density in Problem 11, derive...Ch. 13 - A large stone disk is viewed from above and is...Ch. 13 - Prob. 14PQCh. 13 - A uniform disk of mass M = 3.00 kg and radius r =...Ch. 13 - Prob. 16PQCh. 13 - Prob. 17PQCh. 13 - The system shown in Figure P13.18 consisting of...Ch. 13 - A 10.0-kg disk of radius 2.0 m rotates from rest...Ch. 13 - Prob. 20PQCh. 13 - Prob. 21PQCh. 13 - In Problem 21, what fraction of the kinetic energy...Ch. 13 - Prob. 23PQCh. 13 - Prob. 24PQCh. 13 - Prob. 25PQCh. 13 - A student amuses herself byspinning her pen around...Ch. 13 - The motion of spinning a hula hoop around one's...Ch. 13 - Prob. 28PQCh. 13 - Prob. 29PQCh. 13 - Prob. 30PQCh. 13 - Sophia is playing with a set of wooden toys,...Ch. 13 - Prob. 32PQCh. 13 - A spring with spring constant 25 N/m is compressed...Ch. 13 - Prob. 34PQCh. 13 - Prob. 35PQCh. 13 - Prob. 36PQCh. 13 - Prob. 37PQCh. 13 - Prob. 38PQCh. 13 - A parent exerts a torque on a merry-go-round at a...Ch. 13 - Prob. 40PQCh. 13 - Today, waterwheels are not often used to grind...Ch. 13 - Prob. 42PQCh. 13 - A buzzard (m = 9.29 kg) is flying in circular...Ch. 13 - An object of mass M isthrown with a velocity v0 at...Ch. 13 - A thin rod of length 2.65 m and mass 13.7 kg is...Ch. 13 - A thin rod of length 2.65 m and mass 13.7 kg is...Ch. 13 - Prob. 47PQCh. 13 - Two particles of mass m1 = 2.00 kgand m2 = 5.00 kg...Ch. 13 - A turntable (disk) of radius r = 26.0 cm and...Ch. 13 - CHECK and THINK Our results give us a way to think...Ch. 13 - Prob. 51PQCh. 13 - Prob. 52PQCh. 13 - Two children (m = 30.0 kg each) stand opposite...Ch. 13 - A disk of mass m1 is rotating freely with constant...Ch. 13 - Prob. 55PQCh. 13 - Prob. 56PQCh. 13 - The angular momentum of a sphere is given by...Ch. 13 - Prob. 58PQCh. 13 - Prob. 59PQCh. 13 - Prob. 60PQCh. 13 - Prob. 61PQCh. 13 - Prob. 62PQCh. 13 - A uniform cylinder of radius r = 10.0 cm and mass...Ch. 13 - Prob. 64PQCh. 13 - A thin, spherical shell of mass m and radius R...Ch. 13 - To give a pet hamster exercise, some people put...Ch. 13 - Prob. 67PQCh. 13 - Prob. 68PQCh. 13 - The velocity of a particle of mass m = 2.00 kg is...Ch. 13 - A ball of mass M = 5.00 kg and radius r = 5.00 cm...Ch. 13 - A long, thin rod of mass m = 5.00 kg and length =...Ch. 13 - A solid sphere and a hollow cylinder of the same...Ch. 13 - A uniform disk of mass m = 10.0 kg and radius r =...Ch. 13 - When a person jumps off a diving platform, she...Ch. 13 - One end of a massless rigid rod of length is...Ch. 13 - A uniform solid sphere of mass m and radius r is...Ch. 13 - Prob. 77PQCh. 13 - A cam of mass M is in the shape of a circular disk...Ch. 13 - Prob. 79PQCh. 13 - Consider the downhill race in Example 13.9 (page...Ch. 13 - Prob. 81PQ
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- Understanding the details of timing and forces in motion can improve the performance of athletes, including dancers. Consider the forces involved in a ballet jump called a sauté demi plié. P9.84a shows the sequence of moves in the jump. The dancer starts upright, then quickly bends her knees, moving downward. After she reaches the bottom of this dip, she extends her legs, pushing herself upward. After this upward push, she leaves the ground, beginning a short period of time in the air. P9.84b is a slightly idealized graph of the net force on a 42 kg dancer executing this move. To the nearest m/s, how fast is the dancer moving when she leaves the floor?A. 1 m/s B. 2 m/s C. 3 m/s D. 4 m/sarrow_forwardUnderstanding the details of timing and forces in motion can improve the performance of athletes, including dancers. Consider the forces involved in a ballet jump called a sauté demi plié. P9.84a shows the sequence of moves in the jump. The dancer starts upright, then quickly bends her knees, moving downward. After she reaches the bottom of this dip, she extends her legs, pushing herself upward. After this upward push, she leaves the ground, beginning a short period of time in the air. P9.84b is a slightly idealized graph of the net force on a 42 kg dancer executing this move. The sauté demi plié begins with a phase in which the net force on the dancer is negative. During this phase of the jump,A. The normal force of the floor on her is zero.B. The normal force of the floor on her is less than her weight but greater than zero.C. The normal force of the floor on her is equal to her weight.D. The normal force of the floor on her is greater than her weight.arrow_forwardThe system in the figure is in a stationary state in its original state. Determine the required P force and T tensile force in the rope to activate the system under the following conditions. (The friction coefficients between blocks and between block and ground are given in the figure.) (a) When the force P is applied to a 5 kg block only (b) When the force P is applied only to a 10 kg block 5 kg = 0.50 10 kg = 0.60arrow_forward
- A crane of mass m1 = 3 000 kg supports a load of mass m2 = 10 000 kg as shown in Figure P10.36. The crane is pivoted with a frictionless pin at A and rests against a smooth support at B. Find the reaction forces at (a) point A and (b) point B. Figure P10.36arrow_forwardA bowling ball rolls up a ramp 0.5 m high without slipping to storage. It has an initial velocity of its center of mass of 3.0 m/s. (a) What is its velocity at the top of the ramp? (b) If the ramp is 1 m high does it make it to the top?arrow_forwardChapter 12, Problem 012 In the figure, a man is trying to get his car out of mud on the shoulder of a road. He ties one end of a rope tightly around the front bumper and the other end tightly around a utility pole 18 m away. He then pushes sideways on the rope at its midpoint with a force of 470 N, displacing the center of the rope 0.42 m from its previous position, and the car barely moves. What is the magnitude of the force on the car from the rope? (The rope stretches somewhat.) Number Units the tolerance is +/-1 in the 2nd significant digit Click if you would like to Show Work for this question: Open Show Work LINK TO TEXT LINK TO SAMPLE PROBLEM LINK TO SAMPLE PROBLEM LINK TO SAMPLE PROBLEM VIDEO MINI-LECTUREarrow_forward
- A 10 kg block rests on an inclined plane. The block is attached to a bucket by pulley system depicted below. The mass in the bucket is gradually increased by the addition of sand. At some point, the bucket will accumulate enough sand to set the block in motion. The coefficients of static and kinetic friction are 0.60 and 0.50 respectively. This is a 2 pulley system. The mass of the sand and bucket needed to start the block moving is 20.4 kg. Find the blocks acceleration, in [m/s2] up the plane?arrow_forwardA 686 N park ranger uses a basket and a rope-pulley system to transport an injured sea turtle up to a plateau, as shown in the figure. The sea turtle and basket together have a mass of 50.0 kg. The ranger holds firmly onto the rope and walks away from the cliff, speeding up at a steady rate of 0.300 m/2 2. He thereby causes the basket (and the turtle) to accelerate straight upwards at the same rate. Assume that the rope has negligible weight and that the pulley is ideal, having no friction in its bearing. Also assume that as the ranger trudges along, his feet do not slip on the ground. +x 26. The tension in the rope is equal to A. 490 N. B. 686 N. C. 475 N. D. 505 N. E. 196 N. 27. The frictional force which the ground exerts on the ranger's feet has a magnitude of C. 526 N. A. 490 N. B. 511 N. D. 196 N. E. 707 N.arrow_forwardConsider the frictionless marble-curve track system shown. Marble A is 100.0 g while marble B is 50.0 g. Suppose that both marbles are initially at rest. Right after collision, marble B has a velocity that is three times that of marble A. Ignore air resistance and rotational motion of the marbles. Furthermore, assume that the marbles are much smaller compared to the track.(a) Compute for the total initial mechanical energy associated with the two-marble system with respect to the bottom of the track.(b) Determine the final velocity of each marble after collision assuming that mechanical energy is conserved.(c) Give at least two reasons why in collision between two realistic bodies (that is, not perfectly rigid and with finite macroscopic size), contrary to the assumption in (b) above, mechanical energy is less likely to be conserved even if air resistance and friction can be neglected.arrow_forward
- A block of mass 5.00 kg rides a top of a second block of mass 10.0 kg. A person attaches a rope to the bottom block and pulls the system horizontally across a frictionless surface, as shown in FIG 7. Friction between the two blocks keeps the 5.00 kg block from slipping off. If the coefficient of friction is 0.350, what maximum force can be exerted by the rope on the 10.0 kg block without causing the 5.00 kg block to slip? m M FIG. 7 (a) 5.25 N (b) 17.2 N (c) 34.3 N (d) 51.5 Narrow_forwardA tightrope walker is walking between two buildings holding a pole with length L = 14.0 m, and mass m, = 18.5 kg. The daredevil grips the pole with each hand a distance d = 0.575 m from the center of the pole. A bird of mass m, = 545 g lands on the very end of the left-hand side of the pole. 2d Assuming the daredevil applies upward forces with the left and right hands in a direction perpendicular to the pole, what magnitude of force Fieft and Fright must the left and right hand exert to counteract the torque of the bird? Fieft = N Fright Narrow_forwardConsider the system shown in the figure below with m1 = 30.0 kg, m2 = 13.4 kg, R = 0.300 m, and the mass of the pulley M = 5.00 kg. Object m2 is resting on the floor, and object m1 is 4.50 m above the floor when it is released from rest. The pulley axis is frictionless. The cord is light, does not stretch, and does not slip on the pulley. a) Calculate the time interval required for m1 to hit the floor (in second). b) Calculate the time required again if the pulley were massless (in second)?arrow_forward
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