College Physics, Volume 1
2nd Edition
ISBN: 9781133710271
Author: Giordano
Publisher: Cengage
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Chapter 5, Problem 18P
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The largest value
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A Stone Age hunter stands on a cliff overlooking a flat plain. He places a 1.0 kg rock in a sling, ties the sling to a 1.0-m-long vine, then swings the rock in a horizontal circle around his head. The plane of the motion is 25 m above the plain below. The tension in the vine increases as the rock goes faster and faster. Suddenly, just as the tension reaches 200 N, the vine snaps. If the rock is moving toward the cliff at this instant, how far out on the plain (from the base of the cliff) will it land?
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See Conceptual Example 6 to review the concepts involved in this problem. A 10.5-kg monkey is hanging by one arm from a branch and swinging on a vertical circle. As an approximation, assume a radial distance of 90.8 cm is between the branch and the point where the monkey's mass is located. As the monkey swings through the lowest point on the circle, it has a speed of 3.88 m/s. Find (a) the magnitude of the centripetal force acting on the monkey and (b) the magnitude of the tension in the monkey's arm.
Chapter 5 Solutions
College Physics, Volume 1
Ch. 5.1 - Velocity and Acceleration in Circular Motion...Ch. 5.1 - Prob. 5.2CCCh. 5.2 - Prob. 5.3CCCh. 5.3 - Prob. 5.5CCCh. 5.4 - Prob. 5.6CCCh. 5.4 - Prob. 5.7CCCh. 5 - Prob. 1QCh. 5 - Prob. 2QCh. 5 - Prob. 3QCh. 5 - Consider the Cavendish experiment in Figure 5.22....
Ch. 5 - Prob. 5QCh. 5 - Prob. 6QCh. 5 - Prob. 7QCh. 5 - What force makes it possible for a car to move...Ch. 5 - Prob. 9QCh. 5 - Prob. 10QCh. 5 - Prob. 11QCh. 5 - Prob. 12QCh. 5 - Prob. 13QCh. 5 - Prob. 14QCh. 5 - Prob. 15QCh. 5 - Prob. 16QCh. 5 - Prob. 17QCh. 5 - Prob. 18QCh. 5 - Plutos mass. In 1978, it was discovered that Pluto...Ch. 5 - Prob. 1PCh. 5 - Prob. 2PCh. 5 - Prob. 3PCh. 5 - Prob. 4PCh. 5 - Prob. 5PCh. 5 - Prob. 6PCh. 5 - Prob. 7PCh. 5 - Prob. 8PCh. 5 - Prob. 9PCh. 5 - Prob. 10PCh. 5 - A compact disc spins at 2.5 revolutions per...Ch. 5 - Prob. 12PCh. 5 - Prob. 13PCh. 5 - Prob. 14PCh. 5 - Prob. 15PCh. 5 - Consider the motion of a rock tied to a string of...Ch. 5 - Prob. 17PCh. 5 - Prob. 18PCh. 5 - Prob. 19PCh. 5 - Prob. 20PCh. 5 - Prob. 21PCh. 5 - Prob. 23PCh. 5 - Prob. 24PCh. 5 - Prob. 25PCh. 5 - Prob. 26PCh. 5 - Prob. 27PCh. 5 - Prob. 29PCh. 5 - Consider a Ferris wheel in which the chairs hang...Ch. 5 - Prob. 31PCh. 5 - Prob. 32PCh. 5 - Prob. 33PCh. 5 - Prob. 34PCh. 5 - Prob. 35PCh. 5 - Prob. 36PCh. 5 - Prob. 37PCh. 5 - Prob. 38PCh. 5 - Prob. 39PCh. 5 - Prob. 40PCh. 5 - Prob. 41PCh. 5 - Prob. 42PCh. 5 - Prob. 43PCh. 5 - Prob. 44PCh. 5 - Prob. 45PCh. 5 - Prob. 46PCh. 5 - Prob. 47PCh. 5 - Prob. 48PCh. 5 - Prob. 50PCh. 5 - Prob. 51PCh. 5 - Prob. 52PCh. 5 - Prob. 53PCh. 5 - Prob. 54PCh. 5 - Prob. 55PCh. 5 - Prob. 56PCh. 5 - Prob. 57PCh. 5 - Prob. 58PCh. 5 - Prob. 59PCh. 5 - Prob. 60PCh. 5 - Prob. 61PCh. 5 - Prob. 62PCh. 5 - Prob. 63PCh. 5 - Prob. 64PCh. 5 - Prob. 65PCh. 5 - Prob. 66PCh. 5 - Prob. 67PCh. 5 - Prob. 68PCh. 5 - Prob. 69PCh. 5 - Prob. 70PCh. 5 - Prob. 71PCh. 5 - Prob. 72PCh. 5 - A rock of mass m is tied to a string of length L...Ch. 5 - Prob. 74PCh. 5 - Prob. 75PCh. 5 - Prob. 76PCh. 5 - Prob. 77P
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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- The car is fully loaded with passengers and has a total mass of 575 kg. At point A, the car is at the lowest point in a circular arc of radius r1 = 12.4 m. At point B, the car is at the highest point of a circular arc of radius r2 = 17.3 m. (a) If the car has a speed of 25.0 m/s at point A, what is the magnitude of the force (in N) of the track on the car at this point? (b) What is the maximum speed (in m/s) the car can have at point B in order for the car to maintain contact with the track at all times (that is, so that it does not "jump" off the track)?arrow_forwardA ball of mass 2 kg is tied to one end of a string of length 1 m and the other end of the string is held fixed. The ball then swings in a vertical circle of radius L. The speed of the ball at the m lowest point is 15 m/s. Find speed of the ball when the string makes angle 30° with vertical axis. (Take g = 10 m/s², cos 30 = 0.86 and sin 30 = 0.5) (a) 14.91 m/s (b) 7.87 m/s (c) 14.8 m/s (d) 9.89 m/s (e) 11.6 m/sarrow_forwardSee Conceptual Example 6 to review the concepts involved in this problem. A 10.8-kg monkey is hanging by one arm from a branch and swinging on a vertical circle. As an approximation, assume a radial distance of 61.6 cm is between the branch and the point where the monkey's mass is located. As the monkey swings through the lowest point on the circle, it has a speed of 1.99 m/s. Find (a) the magnitude of the centripetal force acting on the monkey and (b) the magnitude of the tension in the monkey's arm. (a) Number (b) Number Units Units #arrow_forward
- A small block with mass 0.0500 kg slides in a vertical circle of radius 0.475 m on the inside of a circular track. During one of the revolutions of the block, when the block is at the bottom of its path, point A, the magnitude of the normal force exerted on the block by the track has magnitude 3.80 N . In this same revolution, when the block reaches the top of its path, point B, the magnitude of the normal force exerted on the block has magnitude 0.665 N . How much work was done on the block by friction during the motion of the block from point A to point B?arrow_forwardA small block with mass 0.0450kg slides in a vertical circle of radius 0.600m on the inside of a circular track. During one of the revolutions of the block, when the block is at the bottom of its path, point A, the magnitude of the normal force exerted on the block by the track has magnitude 3.85N. In this same revolution, when the block reaches the top of its path, point B, the magnitude of the normal force exerted on the block has magnitude 0.660N. How much work was done on the block by friction during the motion of the block from point A to point B?arrow_forwardA small block with mass 0.0300 kg slides in a vertical circle of radius 0.550 m on the inside of a circular track. During one of the revolutions of the block, when the block is at the bottom of its path, point A, the magnitude of the normal force exerted on the block by the track has magnitude 3.75 N. In this same revolution, when the block reaches the top of its path, point B, the magnitude of the normal force exerted on the block has magnitude 0.685 N. Part A How much work was done on the block by friction during the motion of the block from point A to point B? Express your answer with the appropriate units. W friction = Submit μA Value Request Answer Units ?arrow_forward
- A ball of mass 2 kg is tied to one end of a string of length 1 m and the other end of the string is held fixed. The ball then swings in a vertical circle of radius L. The speed of the ball at the m lowest point is 15 m/s. Find tension in the string when the string makes angle 30° with vertical axis. (Take g = 10 m/s?, cos 30 = 0.86 and sin 30 = 0.5) %3D (a) 236.6 N (b) 142 N (c) 118.3 N (а) 428 N (e) 269 Narrow_forwardA small block with mass 0.0300 kgkg slides in a vertical circle of radius 0.425 mm on the inside of a circular track. During one of the revolutions of the block, when the block is at the bottom of its path, point AA, the magnitude of the normal force exerted on the block by the track has magnitude 3.90 NN . In this same revolution, when the block reaches the top of its path, point BB, the magnitude of the normal force exerted on the block has magnitude 0.675 NN . 1)How much work was done on the block by friction during the motion of the block from point AA to point BB?arrow_forwardA certain string just breaks when it is under 23 N of tension. A boy uses this string to rotate a 660 g stone in a horizontal circle of radius 2.0 m. The boy continuously increases the speed of the stone. At approximately what speed will the string break? (Hint: you may assume that the string is about to break and it hasn't broken yet). O 8.35 m/s O 0.264 m/s O 69.7 m/s O0.0143 m/sarrow_forward
- On the International Space Station an object with mass m = 440 g is attached to a massless string of length L = 0.61 m. The string can handle a tension of T = 5.8 N before breaking. The object undergoes uniform circular motion, being spun around by the string horizontally.What is the maximum speed v the mass can have before the string breaks? Give your answer in units of m/s.arrow_forwardball of mass m = 0.405 kg is attached to a (massless) string of length L = 2.35 m and is undergoing circular motion in the horizontal plane.a) Which force plays the role of the centripetal force?true / false spring forcetrue / false normal forcetrue / false tension forcetrue / false gravitational forcetrue / false frictional force b) What should the speed of the mass be for θ to be 45°? c) What is the tension in the string?arrow_forwardA wrecking ball used to knock down buildings has a mass of m = 1460 kg and is suspended from a cable of length L = 24 m. It reaches a maximum speed of v = 14 m/s while traveling in a circular arc toward the building. What is the minimum tension in N that the cable must be able to support without breaking? Assume the cable is massless.If the cable can only support a tension of 10,000 N what is the highest mass the ball can have in kg?arrow_forward
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