College Physics
2nd Edition
ISBN: 9780134601823
Author: ETKINA, Eugenia, Planinšič, G. (gorazd), Van Heuvelen, Alan
Publisher: Pearson,
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Textbook Question
Chapter 10, Problem 6RQ
Why was it important to assume that the springs obey Hooke's law in Examples 10.7 and 10.8?
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In Haiti, public transportation is often by taptaps, small pickup trucks with seats along the sides of the pickup bed and railings to which passengers can hang on. Typically they carry two dozen or more passengers plus an assortment of chickens, goats, luggage, etc. Putting this much into the back of a pickup truck puts quite a large load on the truck springs.
A truck has springs for each wheel, but for simplicity assume that the individual springs can be treated as one spring with a spring constant that includes the effect of all the springs. Also for simplicity, assume that all four springs compress equally when weight is added to the truck and that the equilibrium length of the springs is the length they have when they support the load of an empty truck.
Part A
A 67 kg driver gets into an empty taptap to start the day's work. The springs compress 1.7×10−2 m . What is the effective spring constant of the spring system in the taptap?
The velocity v(t) of a particle undergoing SHM is graphed in the figure below. Which of the
labeled points corresponds to the particle at x = -A?
8.
O Point 1
O Point 2
Point 3
O Point 4
O Point 5
O Point 6
O Point 7
O Point 8
26
Chapter 10 Solutions
College Physics
Ch. 10 - Review Question 10.1 Can we say that the period of...Ch. 10 - Review Question 10.2 The velocity of an object...Ch. 10 - Review Question 10.3
What will happen to the...Ch. 10 - Review Question 10.4 The period of vibration of a...Ch. 10 - Review Question 10.5 Your grandfathers pendulum...Ch. 10 - Why was it important to assume that the springs...Ch. 10 - Review Question 10.7 What features of damped...Ch. 10 - Review Question 10.8 Describe the phenomenon of...Ch. 10 - 1. What are the features that make vibrational...Ch. 10 - 2. What does it mean if the amplitude of an...
Ch. 10 - 3. What does it mean if the period of an object’s...Ch. 10 - 4. What is the period of the kinetic or the...Ch. 10 - 5. A cart undergoing simple harmonic motion has a...Ch. 10 - The period of the object attached to a spring is...Ch. 10 - You have a simple harmonic oscillator. Where is...Ch. 10 - You have a simple harmonic oscillator. Where is...Ch. 10 - Which of the following arguments can be used to...Ch. 10 - 10. (a) Give three common examples of vibrational...Ch. 10 - An object of known mass hangs at the end of a...Ch. 10 - Describe two different ways to estimate the spring...Ch. 10 - You have a small metal ball attached to a 1.0-m...Ch. 10 - 14. A pendulum clock is running too fast. Explain...Ch. 10 - What simplifications were used to derive the...Ch. 10 - A pendulum clock is moved from the Mississippi...Ch. 10 - 17. Oil is often found in a geological structure...Ch. 10 - A pendulum and a block hanging at the end of a...Ch. 10 - Will me frequency of vibration of a swing when you...Ch. 10 - The amplitude of vibration of a swing slowly...Ch. 10 - 23. If you walk with your arms hanging down, they...Ch. 10 - You have a pendulum with a 1-m string. What is the...Ch. 10 - 1. A low-friction cart is placed between two...Ch. 10 - * You have a ball bearing ano a bowl. You let the...Ch. 10 - 3. Draw a sketch of a pendulum indicate the...Ch. 10 - Draw a graph showing the position-versus-time...Ch. 10 - Suppose that at time zero the can attached to the...Ch. 10 - * (a) Sketch a motion diagram and a...Ch. 10 - * Devise a position-versus-time function that...Ch. 10 - * The position of a vibrating object changes as a...Ch. 10 - * The velocity of a vibrating object changes as a...Ch. 10 - 11. * A cart at the end of a spring undergoes...Ch. 10 - 12. ** Refer to the situation in Problem 10.1. (a)...Ch. 10 - You exert a 100-N pull on the end of a spring....Ch. 10 - Metronome You want to make a metronome for music...Ch. 10 - Determine the frequency of vibration of the cart...Ch. 10 - 16. * A spring with a cart at its end vibrates at...Ch. 10 - 17. A cart with mass m vibrating at the end of a...Ch. 10 - 18. * A 300-g apple is placed on a horizontal...Ch. 10 - ** A 2.0-kg cart vibrates at the end of an 18-N/m...Ch. 10 - * What were the main ideas that we used to derive...Ch. 10 - 21. * A spring with a spring constant of 1200 N/m...Ch. 10 - 22. * A person exerts a 15-N force on a cart...Ch. 10 - 23. A spring with spring constant has a 1.4-kg...Ch. 10 - * Proportional reasoning By what factor must we...Ch. 10 - Proportional reasoning By what factor must we...Ch. 10 - 26. Monkey trick at zoo A monkey has a cart with a...Ch. 10 - 27. * A frictionless cart attached to a spring...Ch. 10 - A 2.0-kg cart attached to a spring undergoes...Ch. 10 - 29 * The motion of a cart attached to a horizontal...Ch. 10 - 30. Pendulum clock Shawn wants to build a clock...Ch. 10 - Show that the expression for the frequency of a...Ch. 10 - A pendulum swings with amplitude 0.020 m and...Ch. 10 - 33. * Proportional reasoning You are designing a...Ch. 10 - 34. * Building demolition A 500-kg ball at the end...Ch. 10 - 35. * You have a pendulum with a long string whose...Ch. 10 - * Variations in g The frequency of a person's...Ch. 10 - 37. EST A graph of position versus time for an...Ch. 10 - Determine the period of a 1.3-m-long pendulum on...Ch. 10 - * You have a simple pendulum that consists of a...Ch. 10 - * Equation Jeopardy The following expression...Ch. 10 - 41. * Trampoline vibration When a 60-kg boy sits...Ch. 10 - * Proportional reasoning if you double the...Ch. 10 - 43. * Pendulum on Mars The frequency of a pendulum...Ch. 10 - 44. * bio EST Annoying sound low-frequency...Ch. 10 - 45.** A 1.2-kg block sliding at 6.0 m/s on a...Ch. 10 - 108 kg. The tower sways back and forth at a...Ch. 10 - ** You shoot a 0.050-kg arrow into a 0.50-kg...Ch. 10 - 48. * You have a pendulum whose length is 1.3 m...Ch. 10 - * You hang a 0.10-kg block from a spring, causing...Ch. 10 - 50. * imagine that you have a cart on a spring...Ch. 10 - 51. Describe one situation from everyday life in...Ch. 10 - EST twins on a swing How frequently do you need to...Ch. 10 - 53. (a) Determine the maximum speed of a girl on a...Ch. 10 - Prob. 54PCh. 10 - 55. * Feeling road vibrations in a car if the...Ch. 10 - 57. A spring oscillator and a simple pendulum have...Ch. 10 - * You attach a block (mass m) to a spring (spring...Ch. 10 - * You attach a 1.6-kg object to a spring, pull it...Ch. 10 - 60. * Traveling through Earth A hole is drilled...Ch. 10 - 61. * EST Estimate the effective spring constant...Ch. 10 - *Galileos pendulum The length L of a pendulum is...Ch. 10 - 63. * A 0.5-kg low-friction cart is moving at...Ch. 10 - 103N/m. Determine (a) by how much the ball...Ch. 10 - 67. * A 5.0-g bullet traveling horizontally at an...Ch. 10 - at the start of the swinging. (a) Determine an...Ch. 10 - 70. ** Foucault's pendulum in 1851, the French...Ch. 10 - pushed to the left with initial speed v0....Ch. 10 - Prob. 72RPPCh. 10 - Prob. 73RPPCh. 10 - Prob. 74RPPCh. 10 - Prob. 75RPPCh. 10 - Prob. 76RPPCh. 10 - Prob. 77RPPCh. 10 - BIO Resonance vibration transfer and the ear When...Ch. 10 - BIO Resonance vibration transfer and the ear When...Ch. 10 - BIO Resonance vibration transfer and the ear When...Ch. 10 - BIO Resonance vibration transfer and the ear When...Ch. 10 - BIO Resonance vibration transfer and the ear When...
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- An object of mass m1 = 9.00 kg is in equilibrium when connected to a light spring of constant k = 100 N/m that is fastened to a wall as shown in Figure P12.67a. A second object, m2 = 7.00 kg, is slowly pushed up against m1, compressing the spring by the amount A = 0.200 m (see Fig. P12.67b). The system is then released, and both objects start moving to the right on the frictionless surface. (a) When m1 reaches the equilibrium point, m2 loses contact with m1 (see Fig. P12.67c) and moves to the right with speed v. Determine the value of v. (b) How far apart are the objects when the spring is fully stretched for the first time (the distance D in Fig. P12.67d)? Figure P12.67arrow_forwardSome people modify cars to be much closer to the ground than when manufactured. Should they install stiffer springs? Explain your answer.arrow_forwardA 50.0-g object connected to a spring with a force constant of 35.0 N/m oscillates with an amplitude of 4.00 cm on a frictionless, horizontal surface. Find (a) the total energy of the system and (b) the speed of the object when its position is 1.00 cm. Find (c) the kinetic energy and (d) the potential energy when its position is 3.00 cm.arrow_forward
- Review. A system consists of a spring with force constant k = 1 250 N/m, length L = 1.50 m, and an object of mass m = 5.00 kg attached to the end (Fig. P15.49). The object is placed at the level of the point of attachment with the spring unstretched, at position yi = L, and then it is released so that it swings like a pendulum. (a) Find the y position of the object at the lowest point. (b) Will the pendulums period be greater or less than the period of a simple pendulum with the same mass m and length L? Explain. Figure PI 5.49arrow_forwardA mass is placed on a frictionless, horizontal table. A spring (k=100N/m) , which can be stretched or compressed, is placed on the table. A 5.00-kg mass is attached to one end of the spring, the other end is anchored to the wall. The equilibrium position is marked at zero. A student moves the mass out to x=4.0 cm and releases it from rest. The mass oscillates in SHM. (a) Determine the equations of motion. (b) Find the position, velocity, and acceleration of the mass at time t=3.00 s.arrow_forwardUse the data in Table P16.59 for a block of mass m = 0.250 kg and assume friction is negligible. a. Write an expression for the force FH exerted by the spring on the block. b. Sketch FH versus t.arrow_forward
- A lightweight spring with spring constant k = 225 N/m is attached to a block of mass m1 = 4.50 kg on a frictionless, horizontal table. The blockspring system is initially in the equilibrium configuration. A second block of mass m2 = 3.00 kg is then pushed against the first block, compressing the spring by x = 15.0 cm as in Figure P16.77A. When the force on the second block is removed, the spring pushes both blocks to the right. The block m2 loses contact with the springblock 1 system when the blocks reach the equilibrium configuration of the spring (Fig. P16.77B). a. What is the subsequent speed of block 2? b. Compare the speed of block 1 when it again passes through the equilibrium position with the speed of block 2 found in part (a). 77. (a) The energy of the system initially is entirely potential energy. E0=U0=12kymax2=12(225N/m)(0.150m)2=2.53J At the equilibrium position, the total energy is the total kinetic energy of both blocks: 12(m1+m2)v2=12(4.50kg+3.00kg)v2=(3.75kg)v2=2.53J Therefore, the speed of each block is v=2.53J3.75kg=0.822m/s (b) Once the second block loses contact, the first block is moving at the speed found in part (a) at the equilibrium position. The energy 01 this spring-block 1 system is conserved, so when it returns to the equilibrium position, it will be traveling at the same speed in the opposite direction, or v=0.822m/s. FIGURE P16.77arrow_forwardRefer to the problem of the two coupled oscillators discussed in Section 12.2. Show that the total energy of the system is constant. (Calculate the kinetic energy of each of the particles and the potential energy stored in each of the three springs, and sum the results.) Notice that the kinetic and potential energy terms that have 12 as a coefficient depend on C1 and 2 but not on C2 or 2. Why is such a result to be expected?arrow_forwardThe amplitude of a lightly damped oscillator decreases by 3.0% during each cycle. What percentage of the mechanical energy of the oscillator is lost in each cycle?arrow_forward
- A blockspring system oscillates with an amplitude of 3.50 cm. The spring constant is 250 N/m and the mass of the block is 0.500 kg. Determine (a) the mechanical energy of the system, (b) the maximum speed of the block, and (c) the maximum acceleration.arrow_forwardWhat conditions must be met to produce SHM?arrow_forwardIf a car has a suspension system with a force constant of 5.00104 N/m , how much energy must the car’s shocks remove to dampen an oscillation starting with a maximum displacement of 0.0750 m?arrow_forward
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