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Physics for Scientists and Engineers with Modern, Revised Hybrid (with Enhanced WebAssign Printed Access Card for Physics, Multi-Term Courses)
9th Edition
ISBN: 9781305266292
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Question
Chapter 8, Problem 72AP
(a)
To determine
The required height of the release point above the bottom of the loop.
(b)
To determine
The normal force on the car at the bottom of the loop exceeds the normal force at the top of the loop by six times the car’s weight.
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Chapter 8 Solutions
Physics for Scientists and Engineers with Modern, Revised Hybrid (with Enhanced WebAssign Printed Access Card for Physics, Multi-Term Courses)
Ch. 8.1 - Consider a block sliding over a horizontal surface...Ch. 8.2 - A rock of mass m is dropped to the ground from a...Ch. 8.2 - Three identical balls are thrown from the top of a...Ch. 8.3 - You are traveling along a freeway at 65 mi/h. Your...Ch. 8 - Prob. 1OQCh. 8 - Two children stand on a platform at the top of a...Ch. 8 - Prob. 3OQCh. 8 - An athlete jumping vertically on a trampoline...Ch. 8 - Prob. 5OQCh. 8 - In a laboratory model of cars skidding to a stop,...
Ch. 8 - Prob. 7OQCh. 8 - Prob. 8OQCh. 8 - Prob. 9OQCh. 8 - One person drops a ball from the top of a building...Ch. 8 - Prob. 2CQCh. 8 - Prob. 3CQCh. 8 - Prob. 4CQCh. 8 - Prob. 5CQCh. 8 - Prob. 6CQCh. 8 - In the general conservation of energy equation,...Ch. 8 - Prob. 8CQCh. 8 - A block is connected to a spring that is suspended...Ch. 8 - Prob. 10CQCh. 8 - Prob. 1PCh. 8 - Prob. 2PCh. 8 - Prob. 3PCh. 8 - A 20.0-kg cannonball is fired from a cannon with...Ch. 8 - Prob. 5PCh. 8 - A block of mass m = 5.00 kg is released from point...Ch. 8 - Prob. 7PCh. 8 - Prob. 8PCh. 8 - A light, rigid rod is 77.0 cm long. Its top end is...Ch. 8 - At 11:00 a.m, on September 7, 2001, more than one...Ch. 8 - Prob. 11PCh. 8 - Prob. 12PCh. 8 - A sled of mass m is given a kick on a frozen pond....Ch. 8 - A crate of mass 10.0 kg is pulled up a rough...Ch. 8 - Prob. 15PCh. 8 - A 40.0-kg box initially at rest is pushed 5.00 m...Ch. 8 - Prob. 17PCh. 8 - At time ti, the kinetic energy of a particle is...Ch. 8 - Prob. 19PCh. 8 - As shown in Figure P8.10, a green bead of mass 25...Ch. 8 - Prob. 21PCh. 8 - Prob. 22PCh. 8 - Prob. 23PCh. 8 - A 1.50-kg object is held 1.20 m above a relaxed...Ch. 8 - Prob. 25PCh. 8 - An 80.0-kg skydiver jumps out of a balloon at an...Ch. 8 - Prob. 27PCh. 8 - Prob. 28PCh. 8 - Prob. 29PCh. 8 - The electric motor of a model train accelerates...Ch. 8 - Prob. 31PCh. 8 - Prob. 32PCh. 8 - An energy-efficient lightbulb, taking in 28.0 W of...Ch. 8 - Prob. 34PCh. 8 - Prob. 35PCh. 8 - An older-model car accelerates from 0 to speed v...Ch. 8 - Prob. 37PCh. 8 - Prob. 38PCh. 8 - Prob. 39PCh. 8 - Energy is conventionally measured in Calories as...Ch. 8 - A loaded ore car has a mass of 950 kg and rolls on...Ch. 8 - Prob. 42APCh. 8 - Prob. 43APCh. 8 - Prob. 44APCh. 8 - Prob. 45APCh. 8 - Review. As shown in Figure P8.26, a light string...Ch. 8 - Prob. 47APCh. 8 - Why is the following situation impossible? A...Ch. 8 - Prob. 49APCh. 8 - Prob. 50APCh. 8 - Jonathan is riding a bicycle and encounters a hill...Ch. 8 - Jonathan is riding a bicycle and encounters a hill...Ch. 8 - Consider the blockspringsurface system in part (B)...Ch. 8 - As it plows a parking lot, a snowplow pushes an...Ch. 8 - Prob. 55APCh. 8 - Consider the popgun in Example 8.3. Suppose the...Ch. 8 - As the driver steps on the gas pedal, a car of...Ch. 8 - Prob. 58APCh. 8 - A horizontal spring attached to a wall has a force...Ch. 8 - Prob. 60APCh. 8 - Prob. 61APCh. 8 - Prob. 62APCh. 8 - Prob. 63APCh. 8 - Prob. 64APCh. 8 - A block of mass 0.500 kg is pushed against a...Ch. 8 - Prob. 66APCh. 8 - Prob. 67APCh. 8 - A pendulum, comprising a light string of length L...Ch. 8 - Prob. 69APCh. 8 - Review. Why is the following situation impossible?...Ch. 8 - Prob. 71APCh. 8 - Prob. 72APCh. 8 - Prob. 73APCh. 8 - Prob. 74APCh. 8 - Prob. 75APCh. 8 - Prob. 76APCh. 8 - Prob. 77APCh. 8 - Prob. 78APCh. 8 - Prob. 79CPCh. 8 - Starting from rest, a 64.0-kg person bungee jumps...Ch. 8 - Prob. 81CPCh. 8 - Prob. 82CPCh. 8 - Prob. 83CPCh. 8 - A uniform chain of length 8.00 m initially lies...Ch. 8 - Prob. 85CP
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- In each situation shown in Figure P8.12, a ball moves from point A to point B. Use the following data to find the change in the gravitational potential energy in each case. You can assume that the radius of the ball is negligible. a. h = 1.35 m, = 25, and m = 0.65 kg b. R = 33.5 m and m = 756 kg c. R = 33.5 m and m = 756 kg FIGURE P8.12 Problems 12, 13, and 14.arrow_forwardReview. A bead slides without friction around a loop-the-loop (Fig. P7.3). The bead is released from rest at a height h = 3.50R. (a) What is its speed at point ? (b) How large is the normal force on the bead at point if its mass is 5.00 g? Figure P7.3arrow_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
- Estimate the kinetic energy of the following: a. An ant walking across the kitchen floor b. A baseball thrown by a professional pitcher c. A car on the highway d. A large truck on the highwayarrow_forwardA Eric is twirling a ball of mass m = 0.150 kg attached to a lightweight string in a vertical circle. If the total energy of the system is conserved, by what factor does the tension on the string increase at the bottom compared with the top of the circle?arrow_forwardThe motion of a box of mass m = 2.00 kg along the x axis can be described by the function x = 4.00 + 3.00t2+ 2.00t3, where x is in meters and t is in seconds. a. What is the kinetic energy of the box as a function of time? b. What are the acceleration of the box and the force acting on the box as a function of time? c. What is the power delivered to the box as a function of time? d. What is the work performed on the particle during the time interval t = 1.00 s to t = 3.00 s?arrow_forward
- A block is hung from a vertical spring. The spring stretches (h = 0.0650 m) as shown for a particular instant in time in Figure P8.26. Consider the Earth, spring, and block to be in the system. If m = 0.865 kg and k = 125 N/m, find the change in the systems potential energy between the two times depicted in the figure. FIGURE P8.26arrow_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 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_forward
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Conservative and Non Conservative Forces; Author: AK LECTURES;https://www.youtube.com/watch?v=vFVCluvSrFc;License: Standard YouTube License, CC-BY