Explanation Given info: The mass of the archeologist is 85.0 kg , the length of the vine is 10.0 m , speed of archeologist at the bottom of the swing is 8.00 m / s and the breaking strength of the vine is 1000 N . Consider T the tension produced in the string. The tension T is act in upward direction. The centripetal force and the weight of the archeologist act in downward direction. The free body diagram of the archeologist is shown below. Figure (1) The centripetal force is, F = m v 2 L Here, m is the mass of the archeologist. v is the speed at which the archeologist swings. L is the length of the vine. The normal weight of the archeologist is, N = m g Here, g is the acceleration due to gravity. From the figure (1) the net forces that act in y axis is, T − m g = m v 2 L Rearrange the above equation for T . T = m v 2 L + m g Substitute 85.0 kg for m , 8

Physics for Scientists and Engineers, Volume 1, Chapters 1-22

8th Edition

ISBN: 9781439048382

Author: Raymond A. Serway, John W. Jewett

Publisher: Cengage Learning

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A particle, body, object or certain mass while travelling in a rotational path or semicircular path, experiences an inertia force. If that inertia force pulls the towards the inward of the imaginary circle in the rotation, it is termed as centripetal for…

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Chapter 6 Solutions

Physics for Scientists and Engineers, Volume 1, Chapters 1-22

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