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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Chapter 10, Problem 2P
The two ropes seen in Figure P10.2 are used to lower a 255 kg piano exactly 5 m from a second-story window to the ground. How much work is done by each of the three forces?
Figure P10.2
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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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- A 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_forwardThe force acting on a particle varies as shown in Figure P6.14. Find the work done by the force on the particle as it moves (a) from x = 0 to x = 8.00 m, (b) from x = 8.00 m to x= 10.0 m, and (c) from x = 0 to x = 10.0 m.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
- 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_forwardSuppose the ski patrol lowers a rescue sled and victim, having a total mass of 90.0 kg, down a 60.0° slope at constant speed, as shown in Figure 7.37. The coefficient of friction between the sled and the snow is 0.100. (a) How much work is done by friction as the sled moves 30.0 m along the hill? (b) How much work is done by the rope on the sled in this distance? (c) What is the work done by the gravitational force on the sled? (d) What is the total work done?arrow_forwardA 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_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_forwardWhat average power is generated by a 70.0-kg mountain climber who climbs a summit of height 325 m in 95.0 min? (a) 39.1 W (b) 54.6 W (c) 25.5 W (d) 67.0 W (e) 88.4 Warrow_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 sled of mass 70 kg starts from rest and slides down a 10 incline 80 m long. It then travels for 20 m horizontally before starting back up an 8° incline. It travels 80 m along this incline before coming to rest. What is the magnitude of the net work done on the sled by friction?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_forwardA student expends 7.5 W of power in lifting a textbook 0.50 m in 1.0 s with a constant velocity. (a) How much work is done, and (b) how much does the book weigh (in newtons)? The answers to Confidence Exercises may be found at the back of the book.arrow_forward
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