Physics (5th Edition)
5th Edition
ISBN: 9780321976444
Author: James S. Walker
Publisher: PEARSON
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Textbook Question
Chapter 8, Problem 1PCE
The work done by a conservative force is indicated in Figure 8-23 for a variety of different paths connecting the points A and B. What is the work done by this force (a) on path 1 and (b) on path 2?
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Chapter 8 Solutions
Physics (5th Edition)
Ch. 8.1 - 1. In Figure 8-8, the work done by a conservative...Ch. 8.2 - 1. The work done by a conservative force on a...Ch. 8.3 - A system with only conservative forces acting on...Ch. 8.4 - 4. A system is acted on by more than one force,...Ch. 8.5 - A system consists of an object moving along the x...Ch. 8 - Is it possible for the kinetic energy of an object...Ch. 8 - If the stretch of a spring is doubled, the force...Ch. 8 - When a mass is placed on top of a vertical spring,...Ch. 8 - If a spring is stretched so far that it is...Ch. 8 - An object is thrown upward to a person on a roof....
Ch. 8 - It is a law of nature that the total energy of the...Ch. 8 - Discuss the venous energy conversions that occur...Ch. 8 - Discuss the nature of the work done by the...Ch. 8 - It the force on an object is zero, does that mean...Ch. 8 - When a ball is thrown upward, its mechanical...Ch. 8 - When a ball is thrown upward, it spends the same...Ch. 8 - The work done by a conservative force is indicated...Ch. 8 - 2. Calculate the work done by gravity as a 3.2-kg...Ch. 8 - Calculate the work done by friction as a 37-kg box...Ch. 8 - Predict/Calculate A 2.8-kg block is attached to a...Ch. 8 - Predict/Calculate (a) Calculate the work done by...Ch. 8 - In the system shown in Figure 8-26, suppose the...Ch. 8 - Predict/Explain Ball 1 is thrown to the ground...Ch. 8 - A mass is attached to the bottom of a vertical...Ch. 8 - Find the gravitational potential energy of an...Ch. 8 - A student lifts a 1.42-kg book from her desk to a...Ch. 8 - At the local ski slope, an 82.0-kg skier rides a...Ch. 8 - BIO The Wing of the Hawkmoth Experiments performed...Ch. 8 - Predict/Calculate A vertical spring stores 0.962 J...Ch. 8 - Pushing on the pump of a soap dispenser compresses...Ch. 8 - BIO Mantis Shrimp Smasher A peacock mantis shrimp...Ch. 8 - Predict/Calculate The work required to stretch a...Ch. 8 - A 0.33-kg pendulum bob is attached to a string 1.2...Ch. 8 - Prob. 18PCECh. 8 - Prob. 19PCECh. 8 - For an object moving along the x axis, the...Ch. 8 - At an amusement park, a swimmer uses a water side...Ch. 8 - Prob. 22PCECh. 8 - A skateboarder at a skate park rides along the...Ch. 8 - Three balls are thrown upward with the same...Ch. 8 - A 0.21-kg apple falls from a tree to the ground,...Ch. 8 - Predict/Calculate A 2.9-kg block slides with a...Ch. 8 - A 0.26-kg rock is thrown vertically upward from...Ch. 8 - A 1 40-kg block sides with a speed of 0.950 m/s on...Ch. 8 - A 5.76-kg rock is dropped and allowed to fall...Ch. 8 - Predict/Calculate Suppose the pendulum bob m...Ch. 8 - The two masses in the Atwoods machine shown in...Ch. 8 - In the previous problem, suppose the masses have...Ch. 8 - Prob. 33PCECh. 8 - Catching a wave, a 77-kg surfer starts with a...Ch. 8 - At a playground, a 19-kg child plays on a slide...Ch. 8 - Starting at rest at the edge of a swimming pool, a...Ch. 8 - A 22,000-kg airplane lands with a speed of 64 m/s...Ch. 8 - A78-kg skateboarder grinds down a hubba ledge that...Ch. 8 - You ride your bicycle down a hill, maintaining a...Ch. 8 - A 111-kg seal at an amusement park slides from...Ch. 8 - A 1.9-kg rock is released from rest at the surface...Ch. 8 - A 1250-kg car drives up a hill that is 16.2 m...Ch. 8 - The Outlaw Run roller coaster in Branson,...Ch. 8 - A 1.80-kg block slides on a rough horizontal...Ch. 8 - Figure 8-34 shows a potential energy curve as a...Ch. 8 - An object moves along the x axis, subject to the...Ch. 8 - A 1.34-kg object moves along the x axis, subject...Ch. 8 - The potential energy of a particle moving along...Ch. 8 - A block of mass m = 0.88 kg is connected to a...Ch. 8 - A ball of mass m = 0.75 kg is thrown straight...Ch. 8 - Figure 8-35 depicts the potential energy of a...Ch. 8 - Figure 8-35 depicts the potential energy of a...Ch. 8 - CE You and a friend both solve a problem involving...Ch. 8 - CE A particle moves under the influence of a...Ch. 8 - A sled slides without friction down a small,...Ch. 8 - A 74 Kg skier encounters a dip in the snows...Ch. 8 - Running Shoes The soles of a popular make of...Ch. 8 - Nasal Strips The force required to flex a nasal...Ch. 8 - The water slide shown in Figure 8-37 ends at a...Ch. 8 - A skateboarder starts at point A in Figure 8-38...Ch. 8 - The Crash of Skylab NASAs Skylab, the largest...Ch. 8 - BIO Bird Tendons Several studies indicate that the...Ch. 8 - In the Atwoods machine of Problem 31, the mass m2...Ch. 8 - A 6.60-kg block slides with an initial speed of...Ch. 8 - Jeff of the Jungle swings on a 7.6-m vine that...Ch. 8 - A 1.9-kg block slides down a frictionless ramp, as...Ch. 8 - Suppose the ramp in Figure 8-40 is not motionless....Ch. 8 - BIO Compressing the Ground A running track at...Ch. 8 - BIO A Fleas Jump The resilin in the body of a flea...Ch. 8 - Predict/Calculate Tension at the Bottom A ball of...Ch. 8 - An ice cube is placed on top of an overturned...Ch. 8 - Predict/Calculate The two blocks shown in Figure...Ch. 8 - Predict/Calculate Loop-the-Loop (a) A block of...Ch. 8 - Figure 8-45 shows a 1.75-kg block at rest on a...Ch. 8 - In Figure 8-45 a 1.2-kg block is held at rest...Ch. 8 - BIO The Flight of the Dragonflies Of all the...Ch. 8 - BIO The Flight of the Dragonflies Of all the...Ch. 8 - BIO The Flight of the Dragonflies Of all the...Ch. 8 - BIO The Flight of the Dragonflies Of all the...Ch. 8 - Predict/Calculate Referring to Example 8-12...Ch. 8 - Referring to Example 8-12 Suppose the block is...Ch. 8 - Referring to Example 8-17 suppose we would like...
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- The surface of the preceding problem is modified so that the coefficient of kinetic friction is decreased. The same horizontal force is applied to the crate, and after being pushed 8.0 m, its speed is 5.0 m/s. How much work is now done by the force of friction? Assume that the crate starts at rest.arrow_forwardIn Figure 5.5 (a)-(d), a block moves to the right in the positive x-direction through the displacement x while under the influence of a force with the same magnitude F. Which of the following is the correct order of the amount of work done by the force F, from most positive to most negative? (a) d, c, a, b (b) c, a, b, d (c) c, a, d, barrow_forwardRepeat the preceding problem, but this time, suppose that the work done by air resistance cannot be ignored. Let the work done by the air resistance when the skier goes from A to B along the given hilly path be —2000 J. The work done by air resistance is negative since the air resistance acts in the opposite direction to the displacement. Supposing the mass of the skier is 50 kg, what is the speed of the skier at point B ?arrow_forward
- Give an example of a situation in which there is a force and a displacement, but the force does no work. Explain why it does no work.arrow_forwardAs a young man, Tarzan climbed up a vine to reach his tree house. As he got older, he decided to build and use a staircase instead. Since the work of the gravitational force mg is path Independent, what did the King of the Apes gain in using stairs?arrow_forward(a) A force F=(4xi+3yj), where F is in newtons and x and y are in meters, acts on an object as the object moves in the x direction from the origin to x = 5.00 m. Find the work W=Fdr done by the force on the object. (b) What If? Find the work W=Fdr done by the force on the object if it moves from the origin to (5.00 m, 5.00 m) along a straightline path making an angle of 45.0 with the positive x axis. Is the work done by this force dependent on the path taken between the initial and final points?arrow_forward
- Consider a particle on which a force acts that depends on the position of the particle. This force is given by . Find the work done by this force when the particle moves from the origin to a point 5 meters to the right on the x-axis.arrow_forwardConsider a particle on which several forces act, one of which is known to be constant in time: . As a result, the particle moves along the x-axis from x=0 to x=5 m and then parallel to the y-axis from y=0 to y=6 m. What is the work done by ?arrow_forwardA shopper pushes a grocery cart 20.0 m at constant speed on level ground, against a 35.0 N frictional force. He pushes in a direction 25.0° below the horizontal. (a) What is the work done on the cart by friction? (b) What is the work done on the cart by the gravitational force? (c) What is the work done on the cart by the shopper? (d) Find the force the shopper exerts, using energy considerations. (e) What is the total work done on the cart?arrow_forward
- A particle moves in the xy plane (Fig. P9.30) from the origin to a point having coordinates x = 7.00 m and y = 4.00 m under the influence of a force given by F=3y2+x. a. What is the work done on the particle by the force F if it moves along path 1 (shown in red)? b. What is the work done on the particle by the force F if it moves along path 2 (shown in blue)? c. What is the work done on the particle by the force F if it moves along path 3 (shown in green)? d. Is the force F conservative or nonconservative? Explain. FIGURE P9.30 In each case, the work is found using the integral of Fdr along the path (Equation 9.21). W=rtrfFdr=rtrf(Fxdx+Fydy+Fzdz) (a) The work done along path 1, we first need to integrate along dr=dxi from (0,0) to (7,0) and then along dr=dyj from (7,0) to (7,4): W1=x=0;y=0x=7;y=0(3y2i+xj)(dxi)+x=7;y=0x=7;y=4(3y2i+xj)(dyj) Performing the dot products, we get W1=x=0;y=0x=7;y=03y2dx+x=7;y=0x=7;y=4xdy Along the first part of this path, y = 0 therefore the first integral equals zero. For the second integral, x is constant and can be pulled out of the integral, and we can evaluate dy. W1=0+x=7;y=0x=7;y=4xdy=xy|x=7;y=0x=7;y=4=28J (b) The work done along path 2 is along dr=dyj from (0,0) to (0,4) and then along dr=dxi from (0,4) to (7,4): W2=x=0;y=0x=0;y=4(3y2i+xj)(dyj)+x=0;y=4x=7;y=4(3y2i+xj)(dyi) Performing the dot product, we get: W2=x=0;y=0x=0;y=4xdy+x=0;y=4x=7;y=43y2dx Along the first part of this path, x = 0. Therefore, the first integral equals zero. For the second integral, y is constant and can be pulled out of the integral, and we can evaluate dx. W2=0+3y2x|x=0;y=4x=7;y=4=336J (c) To find the work along the third path, we first write the expression for the work integral. W=rtrfFdr=rtrf(Fxdx+Fydy+Fzdz)W=rtrf(3y2dx+xdy)(1) At first glance, this appears quite simple, but we cant integrate xdy=xy like we might have above because the value of x changes as we vary y (i.e., x is a function of y.) [In parts (a) and (b), on a straight horizontal or vertical line, only x or y changes]. One approach is to parameterize both x and y as a function of another variable, say t, and write each integral in terms of only x or y. Constraining dr to be along the desired line, we can relate dx and dy: tan=dydxdy=tandxanddx=dytan(2) Now, use equation (2) in (1) to express each integral in terms of only one variable. W=x=0;y=0x=7;y=43y2dx+x=0;y=0x=7;y=4xdyW=y=0y=43y2dytan+x=0x=7xtandx We can determine the tangent of the angle, which is constant (the angle is the angle of the line with respect to the horizontal). tan=4.007.00=0.570 Insert the value of the tangent and solve the integrals. W=30.570y33|y=0y=4+0.570x22|x=0x=7W=112+14=126J (d) Since the work done is not path-independent, this is non-conservative force. Figure P9.30ANSarrow_forwardHow much work is done by the boy pulling his sister 30.0 m in a wagon as shown in Figure 7.36? Assume no friction acts on the wagon. Figure 7.36 The boy does work on the system of the wagon and the child when he pulls them as shown.arrow_forwardA block of mass m = 2.50 kg is pushed a distance d = 2.20 m along a frictionless, horizontal table by a constant applied force of magnitude F = 16.0 N directed at an angle = 25.0 below the horizontal as shown in Figure P6.3. Determine the work done on the block by (a) the applied force, (b) the normal force exerted by the table, (c) the gravitational force, and (d) the net force on the block. Figure P6.3arrow_forward
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Mechanical work done (GCSE Physics); Author: Dr de Bruin's Classroom;https://www.youtube.com/watch?v=OapgRhYDMvw;License: Standard YouTube License, CC-BY