College Physics
10th Edition
ISBN: 9781285737027
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Question
Chapter 5, Problem 76AP
(a)
To determine
The total extension distance x of the pair of springs in terms of two distances
x 1 x 2
(b)
To determine
The effective spring constant of the pair of springs as a system.
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
A block with mass mAmAm_A = 11.0 kgkg on a smooth horizontal surface is connected by a thin cord that passes over a pulley to a second block with mass mBmBm_B = 6.0 kgkg which hangs vertically. (Figure 1)
A.) Determine the magnitude of the acceleration of the system.
Express your answer to two significant figures and include the appropriate units.
A=_________ ____________
B.) If initially mAmA is at rest 1.250 mm from the edge of the table, how long does it take to reach the edge of the table if the system is allowed to move freely?
Express your answer to two significant figures and include the appropriate units.
T= ___________ ___________
C.) If mBmB= 1.0 kgkg, how large must mAmAbe if the acceleration of the system is to be kept at g100g100?
Express your answer to two significant figures and include the appropriate units.
MA= ___________ __________
A block of mass m1 = 3.0 kg rests on a frictionless horizontal surface. A second block of mass m2 = 2.0 kg hangs from an ideal cord of negligible mass that runs over an ideal pulley and then is connected to the first block. The blocks are released from rest.
a.) Find the magnitude of the acceleration of the two blocks after they are released.
b.)What is the speed of the first block 1.2 s after the release of the blocks, assuming the first block does not run out of room on the table and the second block does not land on the floor?
For sport, a 12 kg armadillo runs onto a large pond of level, frictionless ice. The armadillo’s initial velocity is 5.0 m/s along the positive direction of an x axis.Take its initial position on the ice as being the origin. It slips over the ice while being pushed by a wind with a force of 17 N in the positive direction of the y axis. In unitvector notation, what are the animal’s (a) velocity and (b) position vector when it has slid for 3.0 s?
Chapter 5 Solutions
College Physics
Ch. 5.1 - In Figure 5.5 (a)-(d), a block moves to the right...Ch. 5.3 - Three identical halls are thrown from the top of a...Ch. 5.3 - Bob, of mass m, drops from a tree limb at the same...Ch. 5.5 - Prob. 5.4QQCh. 5 - Physics Review A crane lifts a loud of bricks of...Ch. 5 - Physics Review A crate of mass 20.0 kg rest on a...Ch. 5 - Calculate the work done by an applied force of...Ch. 5 - Prob. 4WUECh. 5 - Prob. 5WUECh. 5 - A 4.00-kg crate Marling at rest slides dawn a...
Ch. 5 - A skier leaves a ski jump at 15.0 m/s at some...Ch. 5 - A block of mass 3.00 kg is placed against a...Ch. 5 - What average mechanical power must a 70.0-kg...Ch. 5 - A puck of mass 0.170 kg slides across ice in the...Ch. 5 - Consider a tug-of-war as in Figure CQ5.1, in which...Ch. 5 - During a stress test of the cardiovascular system,...Ch. 5 - (a) If the height of a playground slide is kept...Ch. 5 - (a) Can the kinetic energy of a system be...Ch. 5 - Roads going up mountains are formed into...Ch. 5 - A bowling ball is suspended from the ceiling of a...Ch. 5 - As a simple pendulum swings back and forth, the...Ch. 5 - Discuss whether any work is being done by each of...Ch. 5 - When a punter kicks a football, is he doing any...Ch. 5 - The driver of a car slams on her brakes to avoid...Ch. 5 - A weight is connected to a spring that is...Ch. 5 - In most situations we have encountered in this...Ch. 5 - Suppose you are reshelving books in a library. As...Ch. 5 - The feet of a standing person of mass m exert a...Ch. 5 - An Earth satellite is in a circular orbit at an...Ch. 5 - Mark and David are loading identical cement blocks...Ch. 5 - If the speed of a particle is doubled, what...Ch. 5 - A certain truck has twice the mass of a car. Both...Ch. 5 - If the net work done on a particle is zero, which...Ch. 5 - A car accelerates uniformly from rest. Ignoring...Ch. 5 - A weight lifter lifts a 350-N set of weights from...Ch. 5 - In 1990 Walter Arfeuille of Belgium lifted a...Ch. 5 - Prob. 3PCh. 5 - a shopper in a supermarket pushes a cart with a...Ch. 5 - Starting from rest, a 5.00-kg block slides 2.50 m...Ch. 5 - A horizontal force of 150 N is used to push a...Ch. 5 - A sledge loaded with bricks has a total mass of...Ch. 5 - A block of mass m = 2.50 kg is pushed a distance d...Ch. 5 - A mechanic pushes a 2.50 103-kg car from rest to...Ch. 5 - A 7.00-kg bowling ball moves at 3.00 m/s. How fast...Ch. 5 - A 65.0-kg runner has a speed of 5.20 m/s at one...Ch. 5 - A worker pushing a 35.0-kg wooden crate at a...Ch. 5 - A 70-kg base runner begins his slide into second...Ch. 5 - A running 62-kg cheetah has a top speed of 32 m/s....Ch. 5 - A 7.80-g bullet moving at 575 m/s penetrates a...Ch. 5 - A 0.60-kg particle has a speed of 2.0 m/s at point...Ch. 5 - A large cruise ship of mass 6.50 107 kg has a...Ch. 5 - A man pushing a crate of mass m = 92.0 kg at a...Ch. 5 - A 0.20-kg stone is held 1.3 m above the top edge...Ch. 5 - When a 2.50-kg object is hung vertically on a...Ch. 5 - In a control system, an accelerometer consists of...Ch. 5 - A 60.0-kg athlete leaps straight up into the air...Ch. 5 - A 2.10 103-kg pile driver is used to drive a...Ch. 5 - Two blocks are connected by a light string that...Ch. 5 - A daredevil on a motorcycle leaves the end of a...Ch. 5 - Truck suspensions often have helper springs dial...Ch. 5 - The chin-up is one exercise that can be used to...Ch. 5 - A flea is able to jump about 0.5 m. It has been...Ch. 5 - A 50.0-kg projectile is fired at an angle of 30.0...Ch. 5 - A projectile of mass m is fired horizontally with...Ch. 5 - A horizontal spring attached to a wall has a force...Ch. 5 - A 50.-kg pole vaulter running at 10. m/s vaults...Ch. 5 - A child and a sled with a combined mass of 50.0 kg...Ch. 5 - Hookes law describes a certain light spring of...Ch. 5 - A 0.250-kg block along a horizontal track has a...Ch. 5 - A block of mass m = 5.00 kg is released from rest...Ch. 5 - Tarzan savings on a 30.0-m-long vine initially...Ch. 5 - Two blocks are connected by a light string that...Ch. 5 - The launching mechanism of a toy gun consists of a...Ch. 5 - (a) A block with a mass m is pulled along a...Ch. 5 - (a) A child slides down a water slide at an...Ch. 5 - An airplane of mass 1.50 104 kg is moving at 60.0...Ch. 5 - The system shown in Figure P5.43 is used to lift...Ch. 5 - A 25.0-kg child on a 2.00-m-long swing is released...Ch. 5 - A 2.1 103-kg car starts from rest at the top of a...Ch. 5 - A child of mass m starts from rest and slides...Ch. 5 - A skier starts from rest at the top of a hill that...Ch. 5 - In a circus performance, a monkey is strapped to a...Ch. 5 - An 80.0-kg skydiver jumps out of a balloon at an...Ch. 5 - Q A skier of mass 70.0 kg is pulled up a slope by...Ch. 5 - A 3.50-kN piano is lilted by three workers at...Ch. 5 - While running, a person dissipates about 0.60 J of...Ch. 5 - The electric motor of a model train accelerates...Ch. 5 - When an automobile moves with constant speed down...Ch. 5 - Prob. 55PCh. 5 - Prob. 56PCh. 5 - A 1.50 103-kg car starts from rest and...Ch. 5 - A 6.50 102-kg elevator starts from rest and moves...Ch. 5 - The force acting on a particle varies as in Figure...Ch. 5 - An object of mass 3.00 kg is subject to a force Fx...Ch. 5 - The force acting on an object is given by Fx = (8x...Ch. 5 - An outfielder throws a 0.150-kg baseball at a...Ch. 5 - A person doing a chin-up weighs 700 N, exclusive...Ch. 5 - A boy starts at rest and slides down a...Ch. 5 - A roller-coaster car of mass 1.50 103 kg is...Ch. 5 - A ball of mass m = 1.80 kg is released from rest...Ch. 5 - An archer pulls her bowstring back 0.400 m by...Ch. 5 - A block of mass 12.0 kg slides from rest down a...Ch. 5 - (a) A 75-kg man steps out a window and falls (from...Ch. 5 - A toy gun uses a spring to project a 5.3-g soft...Ch. 5 - Two objects (m1 = 5.00 kg and m2 = 3.00 kg) are...Ch. 5 - In a needle biopsy, a narrow strip of tissue is...Ch. 5 - A 2.00 102-g particle is released from rest at...Ch. 5 - The particle described in Problem 71 (Fig. P5.71)...Ch. 5 - A light spring with spring constant 1.20 103 N/m...Ch. 5 - Prob. 76APCh. 5 - In terms of saving energy, bicycling and walking...Ch. 5 - Energy is conventionally measured in Calories as...Ch. 5 - A ski jumper starts from rest 50.0 m above the...Ch. 5 - A 5.0-kg block is pushed 3.0 m up a vertical wall...Ch. 5 - A childs pogo slick (Fig. P5.77) stores energy in...Ch. 5 - A hummingbird is able to hover because, as the...Ch. 5 - In the dangerous sport of bungee jumping, a daring...Ch. 5 - The masses of the javelin, discus, and shot are...Ch. 5 - A truck travels uphill with constant velocity on a...Ch. 5 - A daredevil wishes to bungee-jump from a hot-air...Ch. 5 - Prob. 87APCh. 5 - An object of mass m is suspended from the top of a...Ch. 5 - Three objects with masses m1 = 5.00 kg, m2 = 10.0...Ch. 5 - Prob. 90APCh. 5 - Prob. 91APCh. 5 - Two blocks, A and B (with mass 50.0 kg and 1.00 ...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- Two blocks are connected by a light string that passes over two frictionless pulleys as in Figure P5.24. The block of mass m2 is attached to a spring of force constant k and m1 m2. If the system is released from rest, and the spring is initially not stretched or compressed, find an expression for the maximum displacement d of m2. Figure P5.24arrow_forwardA soccer ball has an initial speed of 5 m/s, that goes to the right and then hits a wall. After hitting that wall, the soccer ball now goes to the left direction with a speed of 2 m/s. What is the magnitude of the force exerted by the wall to the soccer ball if the time of contact between the two is 0.02 s? Hint: Be careful with the direction of the velocities. (Provide full solution of the problem).arrow_forwardYou have been hired by the prosecuting attorney as an expert witness in a robbery case. The defendant is accused of stealing an expensive and massive diamond ring in its box from a jewelry store. A witness to the alleged crime testified that she saw the defendant run from the store, stop next to an apartment building, and throw the box straight upward to an accomplice leaning out a fourth-floor window. When captured, the defendant did not have the stolen box with him and claimed innocence. When the witness testified in court about the defendant’s throwing of the box to an accomplice, the defending attorney argued that it would be impossible to throw the box upward that high to reach the window in question. The bottom of the window is 19.0 m above the sidewalk. You have set up a demonstration in which the defendant was asked by the judge to throw a baseball horizontally as fast as he could and a radar device was used to determine that he can throw the ball at 20 m/s. (a) What testimony…arrow_forward
- A particle of mass m traveling horizontally with initial speed v0 encounters a dissipative force f (v) = cv2, where c is a constant. a.Provide the equation of motion of the particle with an appropriate initial condition. b. Find the speed of the particle v(t). c. Find its acceleration a(t). d. What is its distance traveled x(t)?arrow_forwardStarting from rest, a 57.0 kg woman jumps down to the floor from a height of 0.800 m, and immediately jumps back up into the air. While she is in contact with the ground during the time interval 0 < t < 0.800 s, the force she exerts on the floor can be modeled using the functionarrow_forwardRafael drops a hard rubber ball, of mass m = 130 g, onto the pavement. He drops it from a height h1 = 2.9 m, and it bounces back to a height h2 = 1.65 m. While the ball is in contact with the ground, the ground exerts a non-constant force on the ball as shown in the figure. During the time interval Δt1 the force rises linearly to Fmax, and during the time interval Δt2 the force returns linearly to zero as the ball leaves the ground. Refer to the figure. a. Enter an epression for the magnitude of the impulse delivered to the ball by the ground, in terms of Fmax and the time intervals deltat1 and deltat2. b. For the time intervals deltat1 = 3.5 ms and deltat2 = 6.5 ms, what is the magnitude of the maximum force between thr ground and the ball, in newtons?arrow_forward
- Rafael drops a hard rubber ball, of mass m = 185 g, onto the pavement. He drops it from a height h1 = 2.7 m, and it bounces back to a height h2 = 1.55 m. While the ball is in contact with the ground, the ground exerts a non-constant force on the ball as shown in the figure. During the time interval Δt1 the force rises linearly to Fmax, and during the time interval Δt2 the force returns linearly to zero as the ball leaves the ground. Refer to the figure. For the time intervals Δt1 = 2.5 ms and Δt2 = 5.5 ms, what is the magnitude of the maximum force between the ground and the ball, in newtons?arrow_forwardImagine 4 objects made of the same material but with different masses. All systems have the same coefficient of static friction μs. Rank in order from smallest to largest: the minimum applied force required to make the objects move if their masses are: Object 1 = m/2 Object 2 = m Object 3 = 2m Object 4 = 4m imagine three objects with the same coefficient of kinetic friction but each having a different mass. We’re going to push each object with a known force F. Rank the velocity of the objects, from smallest to greatest, after we apply the force F for 4 seconds Now think about a robot pushing an object across a horizontal surface without friction and draw graphs for Force, acceleration, velocity, and position all vs. time for both situations. Now think about a robot pushing an object across a horizontal surface with friction and draw graphs for Force, acceleration, velocity, and position all vs. time for both situations.arrow_forwardTwo blocks of masses m1 = 5.6 kg and m2 =3.8 kg are connected by a light spring ona horizontal frictionless table. At a certain instant m2 has an acceleration a2= 2.6m/s2. Determine the acceleration of m1arrow_forward
- In the situation described in Problem 45 and Figure P4.45, the masses of the rope, spring balance, and pulley are negligible. Nicks feet are not touching the ground. (a) Assume Nick is momentarily at rest when he stops pulling down on the rope and passes the end of the rope to another child, of weight 440 N, who is standing on the ground next to him. The rope does not break. Describe the ensuing motion. (b) Instead, assume Nick is momentarily at rest when he ties the end of the rope to a strong hook projecting from the tree trunk. Explain why this action can make the rope break. Figure P4.45 Problems 45 and 46.arrow_forwardThe speed of a particle of mass m varies with the distance x as υ(x) = αx−n. Assume υ(x = 0) = 0 at t = 0. (a) Find the force F(x) responsible. (b) Determine x(t) and (c) F(t).arrow_forwardOn a horizontal air track, a glider of mass m carries a -shaped post. The post supports a small dense sphere, also of mass m, hanging just above the top of the glider on a cord of length L. The glider and sphere are initially at rest with the cord vertical. A constant horizontal force of magnitude F is applied to the glider, moving it through displacement x1; then the force is removed. During the time interval when the force is applied, the sphere moves through a displacement with horizontal component x2. (a) Find the horizontal component of the velocity of the center of mass of the glidersphere system when the force is removed. (b) After the force is removed, the glider continues to move on the track and the sphere swings back and forth, both without friction. Find an expression for the largest angle the cord makes with the vertical.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
College PhysicsPhysicsISBN:9781285737027Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning
College PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning
Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Physics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Physics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Physics for Scientists and Engineers, Technology ...PhysicsISBN:9781305116399Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
College Physics
Physics
ISBN:9781285737027
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
College Physics
Physics
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Physics for Scientists and Engineers with Modern ...
Physics
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Physics for Scientists and Engineers
Physics
ISBN:9781337553278
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Physics for Scientists and Engineers, Technology ...
Physics
ISBN:9781305116399
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Conservative and Non Conservative Forces; Author: AK LECTURES;https://www.youtube.com/watch?v=vFVCluvSrFc;License: Standard YouTube License, CC-BY