1 Units, Physical Quantities, And Vectors 2 Motion Along A Straight Line 3 Motion In Two Or Three Dimensions 4 Newton’s Laws Of Motion 5 Applying Newton’s Laws 6 Work And Kinetic Energy 7 Potential Energy And Energy Conservation 8 Momentum, Impulse, And Collisions 9 Rotation Of Rigid Bodies 10 Dynamics Of Rotational Motion 11 Equilibrium And Elasticity 12 Fluid Mechanics 13 Gravitation 14 Periodic Motion 15 Mechanical Waves 16 Sound And Hearing 17 Temperature And Heat 18 Thermal Properties Of Matter 19 The First Law Of Thermodynamics 20 The Second Law Of Thermodynamics 21 Electric Charge And Electric Field 22 Gauss’s Law 23 Electric Potential 24 Capacitance And Dielectrics 25 Current, Resistance, And Electromotive Force 26 Direct-current Circuits 27 Magnetic Field And Magnetic Forces 28 Sources Of Magnetic Field 29 Electromagnetic Induction 30 Inductance 31 Alternating Current 32 Electromagnetic Waves 33 The Nature And Propagation Of Light 34 Geometric Optics 35 Interference 36 Diffraction 37 Relativity 38 Photons: Light Waves Behaving As Particles 39 Particles Behaving As Waves 40 Quantum Mechanics I: Wave Functions 41 Quantum Mechanics Ii: Atomic Structure 42 Molecules And Condensed Matter 43 Nuclear Physics 44 Particle Physics And Cosmology expand_more
7.1 Gravitational Potential Energy 7.2 Elastic Potential Energy 7.3 Conservative And Nonconservative Forces 7.4 Force And Potential Energy 7.5 Energy Diagrams Chapter Questions expand_more
Problem 7.1DQ: A baseball is thrown straight up with initial speed 0. If air resistance cannot be ignored, when the... Problem 7.2DQ: A projectile has the same initial kinetic energy no matter what the angle of projection. Why doesnt... Problem 7.3DQ: An object is released from rest at the top of a ramp. If the ramp is frictionless, does the object's... Problem 7.4DQ: An egg is released from rest from the roof of a building and falls to the ground. Its fall is... Problem 7.5DQ: A physics teacher had a howling hall suspended from a very long rope attached to the high ceiling of... Problem 7.6DQ: Is it possible for a friction force to increase the mechanical energy of a system? If so, give... Problem 7.7DQ: A woman bounces on a trampoline, going a little higher with each bounce. Explain how she increases... Problem 7.8DQ: Fractured Physics. People often call their electric bill a power bill, yet the quantity on which the... Problem 7.9DQ: (a) A book is lifted upward a vertical distance of 0.800 m. During this displacement, does the... Problem 7.10DQ: (a) A block of wood is pushed against a spring, which is compressed 0.080 m. Does the force on the... Problem 7.11DQ: A 1.0-kg stone and a 10.0-kg stone are released from rest at the same height above the ground.... Problem 7.12DQ: Two objects with different masses are launched vertically into the air by placing them on identical... Problem 7.13DQ: When people are cold, they often rub their hands together to warm up. How does doing this produce... Problem 7.14DQ: A box slides down a ramp and work is done on the box by the forces of gravity and friction. Can the... Problem 7.15DQ: In physical terms, explain why friction is a nonconservative force. Does it store energy for future... Problem 7.16DQ: Since only changes in potential energy are important in any problem, a student decides to let the... Problem 7.17DQ: Figure 7.22a shows the potential-energy function for the force Fx = kx. Sketch the potential-energy... Problem 7.18DQ: Figure 7.22b shows the potential-energy function associated with the gravitational force between an... Problem 7.19DQ: For a system of two particles we often let the potential energy for the force between the particles... Problem 7.20DQ: Explain why the points x = A and x = A in Fig. 7.23b are called turning points. How are the values... Problem 7.21DQ: A particle is in neutral equilibrium if the net force on it is zero and remains zero if the particle... Problem 7.22DQ: The net force on a particle of mass m has the potential-energy function graphed in Fig. 7.24a. If... Problem 7.23DQ: The potential-energy function for a force F is U=x3 where is a positive constant. What is the... Problem 7.1E: In one day, a 75-kg mountain climber ascends from the 1500-m level on a vertical cliff to the top at... Problem 7.2E: BIO How High Can We Jump? The maximum height a typical human can jump from a crouched start is about... Problem 7.3E: CP A 90.0-kg mail bag hangs by a vertical rope 3.5 m long. A postal worker then displaces the bag to... Problem 7.4E: BIO Food Calories. The food calorie, equal to 4186 J, is a measure of how much energy is released... Problem 7.5E: A baseball is thrown from the roof of a 22.0-m-tall building with an initial velocity of magnitude... Problem 7.6E: A crate of mass M starts from rest at the top of a frictionless ramp inclined at an angle above the... Problem 7.7E: BIO Human Energy vs. Insect Energy. For its size, the common flea is one of the most accomplished... Problem 7.8E Problem 7.9E Problem 7.10E: A 25.0-kg child plays on a swing having support ropes that are 2.20 m long. Her brother pulls her... Problem 7.11E: You are testing a new amusement park roller coaster with an empty car of mass 120 kg. One part of... Problem 7.12E: Tarzan and Jane. Tarzan, in one tree, sights Jane in another tree. He grabs the end of a vine with... Problem 7.13E: CP A 10.0-kg microwave oven is pushed 6.00 m up the sloping surface of a loading ramp inclined at an... Problem 7.14E: An ideal spring of negligible mass is 12.00 cm long when nothing is attached to it. When you hang a... Problem 7.15E: A force of 520 N keeps a certain spring stretched a distance of 0.200 m. (a) What is the potential... Problem 7.16E: BIO Tendons. Tendons are strong elastic fibers that attach muscles to hones. To a reasonable... Problem 7.17E: A spring stores potential energy U0 when it is compressed a distance x0 from its uncompressed... Problem 7.18E: A slingshot will shoot a 10-g pebble 22.0 m straight up. (a) How much potential energy is stored in... Problem 7.19E: A spring of negligible mass has force constant k = 800 N/m. (a) How far must the spring be... Problem 7.20E: A 1.20-kg piece of cheese is placed on a vertical spring of negligible mass and force constant k =... Problem 7.21E: A spring of negligible mass has force constant k = 1600 N/m. (a) How far must the spring be... Problem 7.22E: (a) For the elevator of Example 7.9 (Section 7.2), what is the speed of the elevator after it has... Problem 7.23E: A 2.50-kg mass is pushed against a horizontal spring of force constant 25.0 N/cm on a frictionless... Problem 7.24E: A 2.50-kg block on a horizontal floor is attached to a horizontal spring that is initially... Problem 7.25E: You are asked to design a spring that will give a 1160-kg satellite a speed of 2.50 m/s relative to... Problem 7.26E: A 75-kg roofer climbs a vertical 7.0-m ladder to the flat roof of a house. He then walks 12 m on the... Problem 7.27E: A 0.60-kg book slides on a horizontal table. The kinetic friction force on the book has magnitude... Problem 7.28E: CALC In an experiment, one of the forces exerted on a proton is F = x2, where = 12 N/m2. (a) How... Problem 7.29E: A 62.0-kg skier is moving at 6.50 m/s on a frictionless, horizontal, snow-covered plateau when she... Problem 7.30E: Vector A is in the direction 34.0 clockwise from the y-axis. The x-component of A is Ax = 16.0 m.... Problem 7.31E: CALC A force parallel to the .v-axis acts on a particle moving along the x-axis. This force produces... Problem 7.32E: CALC The potential energy of a pair of hydrogen atoms separated by a large distance x is given by... Problem 7.33E: CALC A small block with mass 0.0400 kg is moving in the xy-plane. The net force on the block is... Problem 7.34E: CALC An object moving in the xy-plane is acted on by a conservative force described by the... Problem 7.35E: CALC The potential energy of two atoms in a diatomic molecule is approximated by U(r) = (a/r12) ... Problem 7.36E: A marble moves along the x-axis. The potential-energy function is shown in Fig. E7.36. (a) At which... Problem 7.37P: At a construction site, a 65.0-kg bucket of concrete hangs from a light (but strong) cable that... Problem 7.38P: Two blocks with different masses are attached to either end of a light rope that passes over a... Problem 7.39P: A block with mass 0.50 kg is forced against a horizontal spring of negligible mass, compressing the... Problem 7.40P: A 2.00-kg block is pushed against a spring with negligible mass and force constant k = 400 N/m,... Problem 7.41P: A 2.00-kg block is pushed against a spring with negligible mass and force constant k = 400 N/m,... Problem 7.42P: CP Riding a Loop-the- Loop. A car in an amusement park ride rolls without friction around a track... Problem 7.43P: A 2.0-kg piece of wood slides on a curved surface (Fig. P7.43). The sides of the surface are... Problem 7.44P: Up and Down the Hill. A 28-kg rock approaches the foot of a hill with a speed of 15 m/s. This hill... Problem 7.45P: A 15.0-kg stone slides down a snow-covered hill (Fig. P7.45). leaving point A at a speed of 10.0... Problem 7.46P: CP A 2.8-kg block slides over the smooth, icy hill shown in Fig. P7.46. The top of the hill is... Problem 7.47P: Bungee Jump. A bungee cord is 30.0 m long and, when stretched a distance it exerts a restoring force... Problem 7.48P: You are designing a delivery ramp for crates containing exercise equipment. The 1470-N crates will... Problem 7.49P: The Great Sandini is a 60-kg circus performer who is shot from a cannon (actually a spring gun). You... Problem 7.50P: A 1500-kg rocket is to be launched with an initial upward speed of 50.0 m/s. In order to assist its... Problem 7.51P: A system of two paint buckets connected by a light-weight rope is released from rest with the... Problem 7.52P: These results are from a computer simulation for a batted baseball with mass 0.145 kg, including air... Problem 7.53P: CP A 0.300-kg potato is tied to a string with length 2.50 m, and the other end of the string is tied... Problem 7.54P: A 60.0-kg skier starts from rest at the top of a ski slope 65.0 m high, (a) If friction forces do... Problem 7.55P Problem 7.56P: A ball is thrown upward with an initial velocity of 15 m/s at an angle of 60.0 above the horizontal.... Problem 7.57P Problem 7.58P: A truck with mass m has a brake failure while going down an icy mountain road of constant downward... Problem 7.59P: CALC A certain spring found not to obey Hookes law exerts a restoring force Fx(x) = x2 x2 if it is... Problem 7.60P: CP A sled with rider having a combined mass of 125 kg travels over a perfectly smooth icy hill (Fig.... Problem 7.61P: CALC A conservative force F is in the +x-direction and has magnitude F(x) = /(x + x0)2, where =... Problem 7.62P: A 3.00-kg block is connected to two ideal horizontal springs having force constants k1 = 25.0 N/cm... Problem 7.63P: A 0.150-kg block of ice is placed against a horizontal, compressed spring mounted on a horizontal... Problem 7.64P: If a fish is attached to a vertical spring and slowly lowered to its equilibrium position, it is... Problem 7.65P: CALC You are an industrial engineer with a shipping company. As part of the package-handling system,... Problem 7.66P: A basket of negligible weight hangs from a vertical spring scale of force constant 1500 N/m. (a) If... Problem 7.67P: CALC A 3.00-kg fish is attached to the lower end of a vertical spring that has negligible mass and... Problem 7.68P: You are designing an amusement park ride. A cart with two riders moves horizontally with speed =... Problem 7.69P: A 0.500-kg block, attached to a spring with length 0.60 m and force constant 40.0 N/m. is at rest... Problem 7.70P: CP A small block with mass 0.0400 kg slides in a vertical circle of radius R = 0.500 m on the inside... Problem 7.71P: CP A small block with mass 0.0500 kg slides in a vertical circle of radius R = 0.800 m on the inside... Problem 7.72P: CP Pendulum. A small rock with mass 0.12 kg is fastened to a massless string with length 0.80 m to... Problem 7.73P: A wooden block with mass 1.50 kg is placed against a compressed spring at the bottom of an incline... Problem 7.74P: CALC A small object with mass m = 0.0900 kg moves along the +x-axis. The only force on the object is... Problem 7.75P: CALC A cutting tool under microprocessor control has several forces acting on it. One force is F =... Problem 7.76P: A particle moves along the x-axis while acted on by a single conservative force parallel to the... Problem 7.77P Problem 7.78P: DATA A long ramp made of cast iron is sloped at a constant angle = 52.0 above the horizontal. Small... Problem 7.79P: DATA A single conservative force F(x) acts on a small sphere of mass m while the sphere moves along... Problem 7.80CP: CALC A proton with mass m moves in one dimension. The potential-energy function is U(x) = (/x2) ... Problem 7.81PP: BIO THE DNA SPRING. A DNA molecule, with its double-helix structure, can in some situations behave... Problem 7.82PP: BIO THE DNA SPRING. A DNA molecule, with its double-helix structure, can in some situations behave... Problem 7.83PP: BIO THE DNA SPRING. A DNA molecule, with its double-helix structure, can in some situations behave... Problem 7.84PP: BIO THE DNA SPRING. A DNA molecule, with its double-helix structure, can in some situations behave... format_list_bulleted