1 Doing Physics 2 Motion In A Straight Line 3 Motion In Two And Three Dimensions 4 Force And Motion 5 Using Newton's Laws 6 Energy, Work, And Power 7 Conservation Of Energy 8 Gravity 9 Systems Of Particles 10 Rotational Motion 11 Rotational Vectors And Angular Momentum 12 Static Equilibrium 13 Oscillatory Motion 14 Wave Motion 15 Fluid Motion 16 Temperature And Heat 17 The Thermal Behavior Of Matter 18 Heat, Work, And The First Law Of Thermodynamics 19 The Second Law Of Thermodynamics expand_more
7.1 Conservative And Nonconservative Forces 7.2 Potential Energy 7.3 Conservation Of Mechanical Energy 7.4 Nonconservative Forces 7.5 Conservation Of Energy 7.6 Potential-Energy Curves Chapter Questions expand_more
Problem 1FTD: Figure 7.14 shows force vectors at different points in space for two forces. Which is conservative... Problem 2FTD: Is the conservation-of-mechanical-energy principle related to Newtons laws, or is it an entirely... Problem 3FTD: Why cant we define a potential energy associated with friction? Problem 4FTD: Can potential energy be negative? Can kinetic energy? Can total mechanical energy? Explain. Problem 5FTD: If the potential energy is zero at a given point, must the force also he zero at that point? Give an... Problem 6FTD: If the difference in potential energy between two points is zero, does that necessarily mean that an... Problem 7FTD: If the difference in potential energy between two points is zero, does that necessarily mean that an... Problem 8FTD: A tightrope walker follows an essentially horizontal rope between two mountain peaks of equal... Problem 9FTD: If conservation of energy is a law of nature, why do we have programslike mileage requirements for... Problem 10E: Determine the work you would have to do to move a block of mass m from point 1 to point 2 at... Problem 11E: Now lake Fig. 7.15 lo lie in a vertical plane, and find the work done by the gravitational force as... Problem 12E: Rework Example 7.1, now taking the zero of potential energy at street level. EXAMPLE 7.1... Problem 13E: Find the potential energy associated with a 70-kg hiker (a) atop New Hampshires Mount Washington,... Problem 14E: You fly from Bostons Logan Airport, at sea level, to Denver, altitude 1.6 km. Taking your mass as 65... Problem 15E: The potential energy associated with a 60-kg hiker ascending 1250-m-high Camels Hump mountain in... Problem 16E: How much energy can be stored in a spring with k = 320 N/m if the maximum allowed stretch is 18 cm? Problem 17E: How far would you have to stretch a spring with k = 1.4 kN/m for it to store 210 J of energy? Problem 18E: A biophysicist grabs the ends of a DNA strand with optical tweezers and stretches it 26 m. How much... Problem 19E: A skier starts down a frictionless 32 slope. After a vertical drop of 25 m, the slope temporarily... Problem 20E: A 10,000-kg Navy jet lands on an aircraft carrier and snags a cable to slow it down. The cable is... Problem 21E: A 120-g arrow is shot vertically from a bow whose effective spring constant is 430 N/m. If the bow... Problem 22E: In a railroad yard, a 35,000-kg boxcar moving at 7.5 m/s is stopped by a spring-loaded bumper... Problem 23E: You work for a toy company, and youre designing a spring-launched model rocket. The launching... Problem 24E: A 54-kg ice skater pushes off the wall of the rink, giving herself an initial speed of 3.2 m/s. She... Problem 25E Problem 26E: A particle slides along the frictionless track shown in Fig. 7.16, starting at rest from point A.... Problem 27E: A particle slides back and forth on a frictionless track whose height as a function of horizontal... Problem 28E: A particle is trapped in a potential well described by U(x) = 16x2 b, with U in joules, x in... Problem 29P: The reservoir at Northfield Mountain Pumped Storage Project is 214 m above the pump/generators and... Problem 30P: The force in Fig. 7.14a is given by Fa=FoJ, where F0 is a constant. The force in Fig. 7.14b is given... Problem 31P: A 1.50-kg brick measures 20.0 cm 8.00 cm 5.50 cm. Taking the zero of potential energy when the... Problem 32P: A carbon monoxide molecule can be modeled as a carbon atom and an oxygen atom connected by a spring.... Problem 33P: A more accurate expression for the force law of the rope in Example 7.3 is F = kx + bx2 cx3, where... Problem 34P: For small stretches, the Achilles tendon can be modeled as an ideal spring. Experiments using a... Problem 35P: The force exerted by an unusual spring when its compressed a distance x from equilibrium is F = kx ... Problem 36P: The force on a particle is given by F=Al/x2, where A is a positive constant. (a) Find the... Problem 37P: A particle moves along the x-axis under the influence of a force F = ax2 + b, where a and b are... Problem 38P: As a highway engineer, youre asked to design a runaway truck lane on a mountain road. The lane will... Problem 39P: A spring of constant k, compressed a distance x, is used to launch a mass m up a frictionless slope... Problem 40P: A child is on a swing whose 3.2-m-long chains make a maximum angle of 50 with the vertical. Whats... Problem 41P: With x x0 = h and a = g, Equation 2.11 gives the speed of an object thrown downward with initial... Problem 42P: The nuchal ligament is a cord-like structure that runs along the back of the neck and supports much... Problem 43P: A 200-g block slides back and forth on a frictionless surface between two springs, as shown in Fig.... Problem 44P: Automotive standards call for bumpers that sustain essentially no damage in a 4-km/h collision with... Problem 45P: A block slides on the frictionless loop-the-loop track shown in Fig. 7.19. Find the minimum height h... Problem 46P: The maximum speed of the pendulum bob in a grandfather clock is 0.55 m/s. If the pendulum makes a... Problem 47P: A mass m is dropped from height h above the top of a spring of constant k mounted vertically on the... Problem 48P: A particle with total energy 3.5 J is trapped in a potential well described by U = 7.0 8.0x +... Problem 49P: (a) Derive an expression for the potential energy of an object subject to a force Fx = ax bx3,... Problem 50P: In ionic solids such as NaCl (salt), the potential energy of a pair of ions takes the form U = b/rn ... Problem 51P: Repeat Exercise 19 for the case when the coefficient of kinetic friction on both slopes is 0.11,... Problem 52P: As an energy-efficiency consultant, youre asked to assess a pumped-storage facility. Its reservoir... Problem 53P: A spring of constant k = 340 N/m is used to launch a 1.5-kg block along a horizontal surface whose... Problem 54P: A bug slides back and forth in a bowl 15 cm deep, starting from rest at the top, as shown in Fig.... Problem 55P: A 190-g block is launched by compressing a spring of constant k = 200 N/m by 15 cm. The spring is... Problem 56P: A block slides down a frictionless incline that terminates in a 45 ramp, as shown in Fig. 7.22. Find... Problem 57P: An 840-kg roller-coaster car is launched from a giant spring with k = 31 kN/m into a frictionless... Problem 58P: A particle slides back and forth in a frictionless bowl whose height is given by h = 0.18x2, with x... Problem 59P: A child sleds down a frictionless hill whose vertical drop is 7.2 m. At the bottom is a level but... Problem 60P: A bug lands on top of the frictionless, spherical head of a bald man. It begins to slide down his... Problem 61P: A particle of mass m is subject to a force F=(ax)l, where a is a constant. The particle is initially... Problem 62P: A block of weight 4.5 N is launched up a 30 inclined plane 2.0 m long by a spring with k = 2.0 kN/m... Problem 63P: Your engineering department is asked to evaluate the performance of a new 370-hp sports car. You... Problem 64P: Your roommate is writing a science fiction novel and asks your advice about a plot point. Her... Problem 65P: You have a summer job at your universitys zoology department, where youll be working with an animal... Problem 66P: Biomechanical engineers developing artificial limbs for prosthetic and robotic applications have... Problem 67P: Blocks with different masses are pushed against a spring one at a time, compressing it different... Problem 68PP: Nuclear fusion is the process that powers the Sun. Fusion occurs when two low-mass atomic nuclei... Problem 69PP: Nuclear fusion is the process that powers the Sun. Fusion occurs when two low-mass atomic nuclei... Problem 70PP: Nuclear fusion is the process that powers the Sun. Fusion occurs when two low-mass atomic nuclei... Problem 71PP: Nuclear fusion is the process that powers the Sun. Fusion occurs when two low-mass atomic nuclei... format_list_bulleted