Physics of Everyday Phenomena
9th Edition
ISBN: 9781259894008
Author: W. Thomas Griffith, Juliet Brosing Professor
Publisher: McGraw-Hill Education
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Textbook Question
Chapter 6, Problem 24CQ
Is the total mechanical energy conserved in the motion of a pendulum? Will it keep swinging forever? Explain.
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Physics of Everyday Phenomena
Ch. 6 - Equal forces are used to move blocks A and B...Ch. 6 - A man pushes very hard for several seconds upon a...Ch. 6 - Prob. 3CQCh. 6 - In the situation pictured in question 3, if there...Ch. 6 - In the situation pictured in question 3, does the...Ch. 6 - A ball is being twirled in a circle at the end of...Ch. 6 - A man slides across a wooden floor. What forces...Ch. 6 - A woman uses a pulley arrangement to lift a heavy...Ch. 6 - A lever is used to lift a rock, as shown in the...Ch. 6 - A crate on rollers is pushed up an inclined plane...
Ch. 6 - A boy pushes his friend across a skating rink....Ch. 6 - A child pulls a block across the floor with force...Ch. 6 - If there is just one force acting on an object,...Ch. 6 - Prob. 14CQCh. 6 - A box is moved from the floor up to a tabletop but...Ch. 6 - Prob. 16CQCh. 6 - Is it possible for a system to have energy if...Ch. 6 - Prob. 18CQCh. 6 - Which has the greater potential energy: a ball...Ch. 6 - Prob. 20CQCh. 6 - Suppose the physics instructor pictured in figure...Ch. 6 - A pendulum is pulled back from its equilibrium...Ch. 6 - For the pendulum in question 22when the pendulum...Ch. 6 - Is the total mechanical energy conserved in the...Ch. 6 - Prob. 25CQCh. 6 - Prob. 26CQCh. 6 - Prob. 27CQCh. 6 - Prob. 28CQCh. 6 - Prob. 29CQCh. 6 - If one pole-vaulter can run faster than another,...Ch. 6 - Prob. 31CQCh. 6 - Suppose that the mass in question 31 is halfway...Ch. 6 - A spring gun is loaded with a rubber dart. The gun...Ch. 6 - Prob. 34CQCh. 6 - A sled is given a push at the top of a hill. Is it...Ch. 6 - Prob. 36CQCh. 6 - Prob. 37CQCh. 6 - A horizontally directed force of 40 N is used to...Ch. 6 - A woman does 210 J of work to move a table 1.4 m...Ch. 6 - A force of 80 N used to push a chair across a room...Ch. 6 - Prob. 4ECh. 6 - Prob. 5ECh. 6 - Prob. 6ECh. 6 - Prob. 7ECh. 6 - Prob. 8ECh. 6 - A leaf spring in an off-road truck with a spring...Ch. 6 - To stretch a spring a distance of 0.30 m from the...Ch. 6 - Prob. 11ECh. 6 - Prob. 12ECh. 6 - A 0.40-kg mass attached to a spring is pulled back...Ch. 6 - Prob. 14ECh. 6 - A roller-coaster car has a potential energy of...Ch. 6 - A roller-coaster car with a mass of 900 kg starts...Ch. 6 - A 300-g mass lying on a frictionless table is...Ch. 6 - The time required for one complete cycle of a mass...Ch. 6 - The frequency of oscillation of a pendulum is 16...Ch. 6 - Prob. 1SPCh. 6 - As described in example box 6.2, a 120-kg crate is...Ch. 6 - Prob. 3SPCh. 6 - Suppose that a 300-g mass (0.30 kg) is oscillating...Ch. 6 - A sled and rider with a total mass of 50 kg are...Ch. 6 - Suppose you wish to compare the work done by...
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- Consider the data for a block of mass m = 0.250 kg given in Table P16.59. Friction is negligible. a. What is the mechanical energy of the blockspring system? b. Write expressions for the kinetic and potential energies as functions of time. c. Plot the kinetic energy, potential energy, and mechanical energy as functions of time on the same set of axes. Problems 5965 are grouped. 59. G Table P16.59 gives the position of a block connected to a horizontal spring at several times. Sketch a motion diagram for the block. Table P16.59arrow_forwardA pendulum, comprising a light string of length L and a small sphere, swings in the vertical plane. The string hits a peg located a distance d below the point of suspension (Fig. P8.40). (a) Show that if the sphere is released from a height below that of the peg, it will return to this height after the string strikes the peg. (b) Show that if the pendulum is released from rest at the horizontal position ( = 90) and is to swing in a complete circle centered on the peg, the minimum value of d must be 3L/5. Figure P8.40arrow_forwardA weight is connected to a spring that is suspended vertically from the ceiling. If the weight is displaced downward from its equilibrium position and released, it will oscillate up and down. (a) If air resistance is neglected, will the total mechanical energy of the system (weight plus Earth plus spring) be conserved? (b) How many forms of potential energy are there for this situation?arrow_forward
- The 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_forwardA particle of mass m moving in one dimension has potential energy U(x) = U0[2(x/a)2 (x/a)4], where U0 and a are positive constants. (a) Find the force F(x), which acts on the particle. (b) Sketch U(x). Find the positions of stable and unstable equilibrium. (c) What is the angular frequency of oscillations about the point of stable equilibrium? (d) What is the minimum speed the particle must have at the origin to escape to infinity? (e) At t = 0 the particle is at the origin and its velocity is positive and equal in magnitude to the escape speed of part (d). Find x(t) and sketch the result.arrow_forwardA fellow student tells you that she has both zero kinetic energy and zero potential energy. Is this possible? Explain.arrow_forward
- A grandfather clock has a pendulum length of 0.7 m and mass bob of 0.4 kg. A mass of 2 kg falls 0.8 m in seven days to keep the amplitude (from equilibrium) of the pendulum oscillation steady at 0.03 rad. What is the Q of the system?arrow_forwardA small particle of mass m is pulled to the top of a friction less half-cylinder (of radius R) by a light cord that passes over the top of the cylinder as illustrated in Figure P7.15. (a) Assuming the particle moves at a constant speed, show that F = mg cos . Note: If the particle moves at constant speed, the component of its acceleration tangent to the cylinder must be zero at all times. (b) By directly integrating W=Fdr, find the work done in moving the particle at constant speed from the bottom to the top of the hall-cylinder. Figure P7.15arrow_forwardA simple pendulum as shown in Fig. 4.24 oscillates back and forth. Use the letter designations in the figure to identify the pendulums position(s) for the following conditions. (There may be more than one answer. Consider the pendulum to be ideal with no energy losses.) (a) Position(s) of instantaneous rest ___ (b) Position(s) of maximum velocity ___ (c) Position(s) of maximum Ek ___ (d) Position(s) of maximum Ep ___ (e) Position(s) of minimum Ek ___ (f) Position(s) of minimum Ep ___ (g) Position(s) after which Ek increases ___ (h) Position(s) after which Ep increases ___ (i) Position(s) after which Ek decreases ___ (j) Position(s) after which Ep decreases ___ Figure 4.24 The Simple Pendulum and Energyarrow_forward
- A 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_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_forwardA childs pogo stick (Fig. P7.69) stores energy in a spring with a force constant of 2.50 104 N/m. At position (x = 0.100 m), the spring compression is a maximum and the child is momentarily at rest. At position (x = 0), the spring is relaxed and the child is moving upward. At position , the child is again momentarily at rest at the top of the jump. The combined mass of child and pogo stick is 25.0 kg. Although the boy must lean forward to remain balanced, the angle is small, so lets assume the pogo stick is vertical. Also assume the boy does not bend his legs during the motion. (a) Calculate the total energy of the childstickEarth system, taking both gravitational and elastic potential energies as zero for x = 0. (b) Determine x. (c) Calculate the speed of the child at x = 0. (d) Determine the value of x for which the kinetic energy of the system is a maximum. (e) Calculate the childs maximum upward speed. Figure P7.69arrow_forward
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