Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN: 9781133939146
Author: Katz, Debora M.
Publisher: Cengage Learning
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Chapter 11, Problem 72PQ
A pendulum consists of a wooden bob of mass M suspended by a massless rod of length ℓ. A bullet of mass
FIGURE P11.72
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Chapter 11 Solutions
Physics for Scientists and Engineers: Foundations and Connections
Ch. 11.1 - Forensic Science Forensic science is the...Ch. 11.2 - Why does a coach instruct a gymnast to bend her...Ch. 11.3 - When two objects collide, the impulse exerted on...Ch. 11.3 - Prob. 11.4CECh. 11.5 - If a spacecraft is headed for the outer solar...Ch. 11.6 - The cue ball hits the eight-ball in a game of pool...Ch. 11 - When a spacecraft collides with a planet, it is...Ch. 11 - When a person feels that he is about to fall, he...Ch. 11 - A tall man walking at 1.25 m/s accidentally bumps...Ch. 11 - Prob. 4PQ
Ch. 11 - A basketball of mass m = 625 g rolls off the hoops...Ch. 11 - Prob. 6PQCh. 11 - Sven hits a baseball (m = 0.15 kg). He applies an...Ch. 11 - Prob. 8PQCh. 11 - Prob. 9PQCh. 11 - In a laboratory, a cart collides with a wall and...Ch. 11 - Prob. 11PQCh. 11 - A Show that Equation 11.4 (the impulsemomentum...Ch. 11 - A crate of mass M is initially at rest on a level,...Ch. 11 - Prob. 14PQCh. 11 - Two pucks in a laboratory are placed on an air...Ch. 11 - A truck collides with a small, empty parked car....Ch. 11 - Prob. 17PQCh. 11 - Prob. 18PQCh. 11 - A skater of mass m standing on ice throws a stone...Ch. 11 - A skater of mass 45.0 kg standing on ice throws a...Ch. 11 - Prob. 21PQCh. 11 - In a laboratory experiment, 1 a block of mass M is...Ch. 11 - Ezra (m = 25.0 kg) has a tire swing and wants to...Ch. 11 - A suspicious physics student watches a stunt...Ch. 11 - A 2.45-kg ball is shot into a 0.450-kg box that is...Ch. 11 - Prob. 26PQCh. 11 - Prob. 27PQCh. 11 - Prob. 28PQCh. 11 - A dart of mass m is fired at and sticks into a...Ch. 11 - A dart of mass m = 10.0 g is fired at and sticks...Ch. 11 - A bullet of mass m = 8.00 g is fired into and...Ch. 11 - Prob. 32PQCh. 11 - A bullet of mass m is fired into a ballistic...Ch. 11 - Prob. 34PQCh. 11 - One object (m1 = 0.200 kg) is moving to the right...Ch. 11 - Prob. 36PQCh. 11 - Prob. 37PQCh. 11 - Prob. 38PQCh. 11 - Two objects collide head-on (Fig. P11.39). The...Ch. 11 - Initially, ball 1 rests on an incline of height h,...Ch. 11 - Initially, ball 1 rests on an incline of height h,...Ch. 11 - In an attempt to produce exotic new particles, a...Ch. 11 - Pendulum bob 1 has mass m1. It is displaced to...Ch. 11 - Prob. 44PQCh. 11 - Prob. 45PQCh. 11 - Prob. 46PQCh. 11 - Prob. 47PQCh. 11 - Prob. 48PQCh. 11 - Two skateboarders, with masses m1 = 75.0 kg and m2...Ch. 11 - In a laboratory experiment, an electron with a...Ch. 11 - In Figure P11.51, a cue ball is shot toward the...Ch. 11 - A proton with an initial speed of 2.00 108 m/s in...Ch. 11 - A football player of mass 95 kg is running at a...Ch. 11 - Two bumper cars at the county fair are sliding...Ch. 11 - Two bumper cars at the county fair are sliding...Ch. 11 - Prob. 56PQCh. 11 - N A bomb explodes into three pieces A, B, and C of...Ch. 11 - Prob. 58PQCh. 11 - An object of mass m = 4.00 kg that is moving with...Ch. 11 - A wooden block of mass M is initially at rest at...Ch. 11 - Prob. 61PQCh. 11 - Prob. 62PQCh. 11 - In an experiment designed to determine the...Ch. 11 - From what might be a possible scene in the comic...Ch. 11 - Prob. 65PQCh. 11 - Two pucks in a laboratory are placed on an air...Ch. 11 - Assume the pucks in Figure P11.66 stick together...Ch. 11 - Prob. 68PQCh. 11 - Prob. 69PQCh. 11 - A ball of mass 50.0 g is dropped from a height of...Ch. 11 - Prob. 71PQCh. 11 - A pendulum consists of a wooden bob of mass M...Ch. 11 - Three runaway train cars are moving on a...Ch. 11 - Prob. 74PQCh. 11 - Rutherford fired a beam of alpha particles (helium...Ch. 11 - Prob. 76PQCh. 11 - Prob. 77PQCh. 11 - February 3, 2009, was a very snowy day along...Ch. 11 - A cart filled with sand rolls at a speed of 1.0...Ch. 11 - Prob. 80PQCh. 11 - Prob. 81PQCh. 11 - Prob. 82PQCh. 11 - Prob. 83PQCh. 11 - Prob. 84PQ
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- A bullet of mass m is fired into a ballistic pendulum and embeds itself in the wooden bob of mass M (Fig. P11.33). After the collision, the pendulum reaches a maximum height h above its original position. a. Show that the kinetic energy of the system decreases by the factor m/(m + M) immediately after the collision. b. What is the change in momentum of the bullet-bob system due to the collision? FIGURE P11.33arrow_forwardThree runaway train cars are moving on a frictionless, horizontal track in a railroad yard as shown in Figure P11.73. The first car, with mass m1 = 1.50 103 kg, is moving to the right with speed v1 = 10.0 m /s; the second car, with mass m2 = 2.50 103 kg, is moving to the left with speed v2 = 5.00 m/s, and the third car, with mass m3 = 1.20 103 kg, is moving to the left with speed v3 = 8.00 m /s. The three railroad cars collide at the same instant and couple, forming a train of three cars. a. What is the final velocity of the train cars immediately after the collision? b. Would the answer to part (a) change if the three cars did not collide at the same instant? Explain. FIGURE P11.73arrow_forwardPendulum bob 1 has mass m1. It is displaced to height h1 and released. Pendulum bob 1 elastically collides with pendulum bob 2 of mass m2 (Fig. P11.43). FIGURE P11.43 a. Find an expression for the maximum height h2 of pendulum bob 2. b. If m2 = 2.5m1 and h1 = 5.46 m, what is h2?arrow_forward
- 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_forwardInitially, ball 1 rests on an incline of height h, and ball 2 rests on an incline of height h/2 as shown in Figure P11.40. They are released from rest simultaneously and collide elastically in the trough of the track. If m2 = 4 m1, m1 = 0.045 kg, and h = 0.65 m, what is the velocity of each ball after the collision?arrow_forwardA cannon is rigidly attached to a carriage, which can move along horizontal rails but is connected to a post by a large spring, initially unstretchcd and with force constant k = 2.00 104 N/m, as shown in Figure P8.60. The cannon fires a 200-kg projectile at a velocity of 125 m/s directed 45.0 above the horizontal. (a) Assuming that the mass of the cannon and its carriage is 5 000 kg, find the recoil speed of the cannon. (b) Determine the maximum extension of the spring. (c) Find the maximum force the spring exerts on the carriage. (d) Consider the system consisting of the cannon, carriage, and projectile. Is the momentum of this system conserved during the firing? Why or why not?arrow_forward
- Two bumper cars at the county fair are sliding toward one another (Fig. P11.54). Initially, bumper car 1 is traveling to the east at 5.62 m/s, and bumper car 2 is traveling 60.0 south of west at 10.00 m/s. They collide and stick together, as the driver of one car reaches out and grabs hold of the other driver. The two bumper cars move off together after the collision, and friction is negligible between the cars and the ground. a. If the masses of bumper cars 1 and 2 are 596 kg and 625 kg respectively, what is the velocity of the bumper cars immediately after the collision? b. What is the kinetic energy lost in the collision? c. Compare your answers to part (b) from this and Problem 54. Is one answer larger than the other? Discuss and explain any differences you find.arrow_forwardTwo skateboarders, with masses m1 = 75.0 kg and m2 = 65.0 kg, simultaneously leave the opposite sides of a frictionless half-pipe at height h = 4.00 m as shown in Figure P11.49. Assume the skateboarders undergo a completely elastic head-on collision on the horizontal segment of the half-pipe. Treating the skateboarders as particles and assuming they dont fall off their skateboards, what is the height reached by each skateboarder after the collision? FIGURE P11.49arrow_forwardAssume the pucks in Figure P11.66 stick together after theircollision at the origin. Puck 2 has four times the mass of puck 1 (m2 = 4m1). Initially, puck 1s speed is three times puck 2s speed (v1i = 3v2i), puck 1s position is r1i=x1ii, and puck 2s position is r2i=y2ij. a. Find an expression for their velocity after the collision in terms of puck 1s initial velocity. b. What is the fraction Kf/Ki that remains in the system?arrow_forward
- A ball of mass 50.0 g is dropped from a height of 10.0 m. It rebounds after losing 75% of its kinetic energy during the collision process. If the collision with the ground took 0.010 s, find the magnitude of the impulse experienced by the ball.arrow_forwardA small block of mass m1 = 0.500 kg is released from rest at the top of a frictionless, curve-shaped wedge of mass m2 = 3.00 kg, which sits on a frictionless, horizontal surface as shown in Figure P8.55a. When the block leaves the wedge, its velocity is measured to be 4.00 m/s to the right as shown in Figure P8.55b. (a) What is the velocity of the wedge after the block reaches the horizontal surface? (b) What is the height h of the wedge?arrow_forwardSand from a stationary hopper falls onto a moving conveyor belt at the rate of 5.00 kg/s as shown in Figure P8.64. The conveyor belt is supported by frictionless rollers and moves at a constant speed of v = 0.750 m/s under the action of a constant horizontal external force Fext supplied by the motor that drives the belt. Find (a) the sands rate of change of momentum in the horizontal direction, (b) the force of friction exerted by the belt on the sand, (c) the external force Fext, (d) the work done by Fext in 1 s, and (e) the kinetic energy acquired by the falling sand each second due to the change in its horizontal motion. (f) Why are the answers to parts (d) and (e) different? Figure P8.64arrow_forward
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Impulse Derivation and Demonstration; Author: Flipping Physics;https://www.youtube.com/watch?v=9rwkTnTOB0s;License: Standard YouTube License, CC-BY