College Physics: A Strategic Approach (3rd Edition)
3rd Edition
ISBN: 9780321879721
Author: Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher: PEARSON
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Textbook Question
Chapter 10, Problem 70GP
What would be the speed of the boxes in Problem 69 if the coefficient of kinetic friction between box A and the surface it slides on were 0.20? Use conservation of energy.
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Chapter 10 Solutions
College Physics: A Strategic Approach (3rd Edition)
Ch. 10 - The brake shoes of your car are made of a material...Ch. 10 - When you pound a nail with a hammer, the nail gets...Ch. 10 - For Questions 3 through 1 0, give a specific...Ch. 10 - For Questions 3 through 1 0, give a specific...Ch. 10 - For Questions 3 through 10, give a specific...Ch. 10 - For Questions 3 through 10, give a specific...Ch. 10 - For Questions 3 through 1 0, give a specific...Ch. 10 - For Questions 3 through 1 0, give a specific...Ch. 10 - For Questions 3 through 1 0, give a specific...Ch. 10 - For Questions 3 through 1 0, give a specific...
Ch. 10 - A ball of putty is dropped from a height of 2 m...Ch. 10 - A 0.5 kg mass on a 1-m-long string swings in a...Ch. 10 - Particle A has less mass than particle B. Both are...Ch. 10 - Puck B has twice the mass of puck A. Starting from...Ch. 10 - To change a tire, you need to use a jack to raise...Ch. 10 - Prob. 16CQCh. 10 - A roller coaster car rolls down a frictionless...Ch. 10 - A spring gun shoots out a plastic ball at speed v....Ch. 10 - Sandy and Chris stand on the edge of a cliff and...Ch. 10 - A solid cylinder and a hollow cylinder have the...Ch. 10 - You are much more likely to be injured if you fall...Ch. 10 - A roller coaster starts from rest at its highest...Ch. 10 - You and a friend each carry a 15 kg suitcase up...Ch. 10 - A woman uses a pulley and a rope to raise a 20 kg...Ch. 10 - A hockey puck sliding along frictionless ice with...Ch. 10 - A block slides down a smooth ramp, starting from...Ch. 10 - A wrecking ball is suspended from a 5.0-m-long...Ch. 10 - Prob. 1PCh. 10 - The two ropes seen in Figure P10.2 are used to...Ch. 10 - The two ropes shown in the bird's-eye view of...Ch. 10 - Prob. 4PCh. 10 - A boy flies a kite with the string at a 30 angle...Ch. 10 - A crate slides down a ramp that makes a 20 angle...Ch. 10 - Which has the larger kinetic energy, a 10 g bullet...Ch. 10 - At what speed does a 1000 kg compact car have the...Ch. 10 - Prob. 9PCh. 10 - The cheetah is the fastest land animal, reaching...Ch. 10 - How fast would an 80 kg man need to run in order...Ch. 10 - Sams job at the amusement park is to slow down and...Ch. 10 - A 20 g plastic ball is moving to the left at 30...Ch. 10 - Prob. 14PCh. 10 - An energy storage system based on a flywheel (a...Ch. 10 - The lowest point in death Valley is 85.0 m below...Ch. 10 - Prob. 17PCh. 10 - The world's fastest humans can reach speeds of...Ch. 10 - A 72 kg bike racer climbs a 1200-m-long section of...Ch. 10 - A 1000 kg wrecking ball hangs from a 15-m-long...Ch. 10 - How far must you stretch a spring with k = 1000...Ch. 10 - How much energy can be stored in a spring with a...Ch. 10 - The elastic energy stored in your tendons can...Ch. 10 - Marissa drags a 23 kg duffel bag 14 m across the...Ch. 10 - Mark pushes his broken car 150 m down the block to...Ch. 10 - A 900 N crate slides 12m down a ramp that makes an...Ch. 10 - A 25 kg child slides down a playground slide at a...Ch. 10 - A boy reaches out of a window and tosses a ball...Ch. 10 - Prob. 29PCh. 10 - What minimum speed does a 100 g puck need to make...Ch. 10 - A car is parked at the top of a 50-m-high hill....Ch. 10 - A 1500 kg car is approaching the hill shown in...Ch. 10 - A 10 kg runaway grocery cart runs into a spring,...Ch. 10 - As a 15,000 kg jet lands on an aircraft carrier,...Ch. 10 - Your friend's Frisbee has become stuck 16m above...Ch. 10 - A fireman of mass 80 kg slides down a pole. When...Ch. 10 - Prob. 37PCh. 10 - Prob. 38PCh. 10 - In the winter activity of tubing, riders slide...Ch. 10 - A cyclist is coasting at 12 m/s when she starts...Ch. 10 - A 50 g marble moving at 2.0 m/s strikes a 20 g...Ch. 10 - Ball 1, with a mass of 100 g and traveling at 10...Ch. 10 - Prob. 43PCh. 10 - Two balls undergo a perfectly elastic head-on...Ch. 10 - Prob. 45PCh. 10 - Prob. 46PCh. 10 - A 1000 kg sports car accelerates from 0 to 30m/sin...Ch. 10 - In just 0.30 s, you compress a spring (spring...Ch. 10 - An elite Tour de France cyclist can maintain an...Ch. 10 - A 710 kg car drives at a constant speed of 23 m/s....Ch. 10 - An elevator weighing 2500 N ascends at a constant...Ch. 10 - How much work does Scott do to push a 80 kg sofa...Ch. 10 - A 550 kg elevator accelerates upward at 1.2 m/s2...Ch. 10 - Prob. 54GPCh. 10 - Prob. 55GPCh. 10 - Prob. 56GPCh. 10 - You are driving your 1500 kg car at 20 m/s down a...Ch. 10 - A 20 kg child is on a swing that hangs from...Ch. 10 - Prob. 59GPCh. 10 - A cannon tilted up at a 30 angle fires a cannon...Ch. 10 - The sledder shown in Figure P10.61 starts from the...Ch. 10 - A 50 g ice cube can slide without friction up and...Ch. 10 - The maximum energy a bone can absorb without...Ch. 10 - In an amusement park water slide, people slide...Ch. 10 - Boxes A and B in Figure P10.69 have masses of 12.0...Ch. 10 - What would be the speed of the boxes in Problem 69...Ch. 10 - A 20 g ball is fired horizontally with initial...Ch. 10 - Two coupled boxcars are rolling along at 2.5 m/s...Ch. 10 - A fish scale, consisting of a spring with spring...Ch. 10 - A 70 kg human sprinter can accelerate from rest to...Ch. 10 - A 50 g ball of clay traveling at 6.5 m/s hits and...Ch. 10 - Prob. 78GPCh. 10 - The mass of an elevator and its occupants is 1200...Ch. 10 - Prob. 80GPCh. 10 - Tennis Ball Testing A tennis ball bouncing on a...Ch. 10 - Tennis Ball Testing A tennis ball bouncing on a...Ch. 10 - Tennis Ball Testing A tennis ball bouncing on a...Ch. 10 - Prob. 84MSPPCh. 10 - Tennis Ball Testing A tennis ball bouncing on a...Ch. 10 - Work and Power in Cycling When you ride a bicycle...Ch. 10 - Work and Power in Cycling When you ride a bicycle...Ch. 10 - Work and Power in Cycling When you ride a bicycle...Ch. 10 - Work and Power in Cycling When you ride a bicycle...Ch. 10 - Work and Power in Cycling When you ride a bicycle...
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- As shown in Figure P7.20, a green bead of mass 25 g slides along a straight wire. The length of the wire from point to point is 0.600 m, and point is 0.200 in higher than point . A constant friction force of magnitude 0.025 0 N acts on the bead. (a) If the bead is released from rest at point , what is its speed at point ? (b) A red bead of mass 25 g slides along a curved wire, subject to a friction force with the same constant magnitude as that on the green bead. If the green and red beads are released simultaneously from rest at point , which bead reaches point first? Explain. Figure P7.20arrow_forwardA 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 block is placed on top of a vertical spring, and the spring compresses. Figure P8.24 depicts a moment in time when the spring is compressed by an amount h. a. To calculate the change in the gravitational and elastic potential energies, what must be included in the system? b. Find an expression for the change in the systems potential energy in terms of the parameters shown in Figure P8.24. c. If m = 0.865 kg and k = 125 N/m, find the change in the systems potential energy when the blocks displacement is h = 0.0650 m, relative to its initial position. FIGURE P8.24arrow_forward
- A boy starts at rest and slides down a frictionless slide as in Figure P5.64. The bottom of the track is a height h above the ground. The boy then leaves the track horizontally, striking the ground a distance d as shown. Using energy methods, determine the initial height H of the boy in terms of h and d. Figure P5.64arrow_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_forwardA nonconstant force is exerted on a particle as it moves in the positive direction along the x axis. Figure P9.26 shows a graph of this force Fx versus the particles position x. Find the work done by this force on the particle as the particle moves as follows. a. From xi = 0 to xf = 10.0 m b. From xi = 10.0 to xf = 20.0 m c. From xi = 0 to xf = 20.0 m FIGURE P9.26 Problems 26 and 27.arrow_forward
- A particle moves in one dimension under the action of a conservative force. The potential energy of the system is given by the graph in Figure P8.55. Suppose the particle is given a total energy E, which is shown as a horizontal line on the graph. a. Sketch bar charts of the kinetic and potential energies at points x = 0, x = x1, and x = x2. b. At which location is the particle moving the fastest? c. What can be said about the speed of the particle at x = x3? FIGURE P8.55arrow_forwardA 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_forwardA jack-in-the-box is actually a system that consists of an object attached to the top of a vertical spring (Fig. P8.50). a. Sketch the energy graph for the potential energy and the total energy of the springobject system as a function of compression distance x from x = xmax to x = 0, where xmax is the maximum amount of compression of the spring. Ignore the change in gravitational potential energy. b. Sketch the kinetic energy of the system between these points the two distances in part (a)on the same graph (using a different color). FIGURE P8.50 Problems 50 and 79arrow_forward
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