Physics (5th Edition)
5th Edition
ISBN: 9780321976444
Author: James S. Walker
Publisher: PEARSON
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Chapter 8, Problem 5PCE
Predict/Calculate (a) Calculate the work done by gravity as a 52-kg object is moved from A to B in Figure 8-27 along paths 1 and 2. (b) How do your results depend on the mass of the block? Specifically, if you increase the mass, does the work done by gravity increase, decrease, or stay the same?
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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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- A book of mass in is projected with a speed v across a horizontal surface. The book slides until it stops due to the friction force between the book and the surface. The surface is now tilted 30, and the book is projected up the surface with the same initial speed v. When the book has come to rest, how does the decrease in mechanical energy of the book-Earth system compare with that when the book slid over the horizontal surface? (a) Its the same. (b) Its larger on the tilted surface. (c) Its smaller on the tilted surface. (d) More information is needed.arrow_forwardA small block of mass m = 200 g is released from rest at point along the horizontal diameter on the inside of a frictionless, hemispherical bowl of radius R = 30.0 cm (Fig. P8.43). Calculate (a) the gravitational potential energy of the block-Earth system when the block is at point relative to point . (b) the kinetic energy of the block at point . (c) its speed at point B, and (d) its kinetic energy and the potential energy when the block is at point . Figure P8.43 Problems 43 and 44.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_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_forwardA small block of mass m = 200 g is released from rest at point along the horizontal diameter on the inside of a frictionless, hemispherical bowl of radius R = 30.0 cm (Fig. P7.45). Calculate (a) the gravitational potential energy of the block-Earth system when the block is at point relative to point . (b) the kinetic energy of the block at point , (c) its speed at point , and (d) its kinetic energy and the potential energy when the block is at point . Figure P7.45 Problems 45 and 46.arrow_forwardAlex and John are loading identical cabinets onto a truck. Alex lifts his cabinet straight up from the ground to the bed of the truck, whereas John slides his cabinet up a rough ramp to the truck. Which statement is correct about the work done on the cabinetEarth system? (a) Alex and John do the same amount of work. (b) Alex does more work than John. (c) John does more work than Alex. (d) None of those statements is necessarily true because the force of friction is unknown. (e) None of those statements is necessarily true because the angle of the incline is unknown.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_forwardA block of mass m = 5.00 kg is released from point and slides on the frictionless track shown in Figure P8.3. Determine (a) the blocks speed at points and and (b) the net work done by the gravitational force on the block as it moves from point to point . Figure P8.3arrow_forwardA particle is subject to a force Fx that varies with position as shown in Figure P7.9. Find the work done by the force on the particle as it moves (a) from x = 0 to x = 5.00 m, (b) from x = 5.00 m to x = 10.0 m, and (c) from x = 10.0 m to x = 15.0 m. (d) What is the total work done by the force over the distance x = 0 to x = 15.0 m?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_forwardIntegrated Concepts (a) Calculate the force the woman in Figure 7.46 exerts to do a push-up at constant speed, taking all data to be known to three digits. (b) How much work does she do if her center of mass rises 0.240 m? (c) What is her useful power output if she does 25 push-ups in 1 min? (Should work done lowering her body be included? See the discussion of useful work in Work, Energy, and Power in Humans. Figure 7.46 Forces involved in doing push-ups. The woman's weight acts as a force exerted downward on her center of gravity (CG).arrow_forwardThe 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_forward
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