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#1. A movie creator is designing a jungle-vine-swinging sequence for the latest Tarzan movie. To determine Tarzan's speed at the low paint of the swing and to make sure it does not exceed mandatory safety limits, the movie creator decides to model the system of Tarzan + vine as pendulum. Assume that the model consists of a particle (Tarzan, mass 100 kg) hanging from a light string (the vine) of length I attached to a support. The angle between the vertical and the string is written as d. (A) Draw a free-body diagram for the object on the end of the string (Tarzan on the vine). (B) A infinitesimal distance along the arc (along which the object travels) Ido. Write an expression for the total work dWutut done on the partide as it travels that distance for an arbitrary angle o. (C) If the = 7.0 m, and if the article starts from rest at an angle 50", determine the partide's kinetic energy and speed at the low point of the swing using the work-kinetic-energy theorem.

#1. A movie creator is designing a jungle-vine-swinging sequence for the latest Tarzan movie. To determine Tarzan's speed at the low paint of the swing and to make sure it does not exceed mandatory safety limits, the movie creator decides to model the system of Tarzan + vine as pendulum. Assume that the model consists of a particle (Tarzan, mass 100 kg) hanging from a light string (the vine) of length I attached to a support. The angle between the vertical and the string is written as d. (A) Draw a free-body diagram for the object on the end of the string (Tarzan on the vine). (B) A infinitesimal distance along the arc (along which the object travels) Ido. Write an expression for the total work dWutut done on the partide as it travels that distance for an arbitrary angle o. (C) If the = 7.0 m, and if the article starts from rest at an angle 50", determine the partide's kinetic energy and speed at the low point of the swing using the work-kinetic-energy theorem.

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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1. A movie creator is designing a jungle-vine-swinging sequence for the latest Tarzan movie. To determine Tarzan's speed at the low paint of the swing and to make sure it does not exceed mandatory safety limits, the movie creator decides to model the system of Tarzan + vine as pendulum. Assume that the model consists of a particle (Tarzan, mass 100 kg) hanging from a light string (the vine) of length I attached to a support. The angle between the vertical and the string is written as d. (A) Draw a free-body diagram for the object on the end of the string (Tarzan on the vine). (B) A infinitesimal distance along the arc (along which the object travels) Ido. Write an expression for the total work dWutut done on the partide as it travels that distance for an arbitrary angle o. () If the /= 7.0 m, and if the artide starts from rest at an angle 50", determine the partide's kinetic energy and speed at the low point of the swing using the work-kinetic-energy theorem. #2. Tennis player Ashleigh swings her 1000 g racket with a speed of 10 m/s. She hits a 60 g tennis ball that was approaching her at a speed of 20 m/s. The ball rebounds at 40 m/s. A) How fast is her racket moving immediately after the impact? You can ignore the interaction of the racket with her hand for the brief duration of the colision. B) If the tennis ball and racket are in contact for 10 ms, what is the average force that the racket exerts on the ball? How does this compare to the gravitational force on the ball? 3. A metal block of mass m starts from rest at a heigth h and sides down a frictionless plane incined at angle e with the horizontal, as shown in Figure 1. The block strikes a spring of force constant k. Find the distance the spring is compressed when the block momentarily stops. (Hint: Do not forget to label the points at which you are determining the energies. You will end up to a quadratic equation here.) Jmm #4. Show that in a one-dimensional elastic colsion, if the mass and velocity of object 1 are m, and Vu, and if the mass and velocity of object 2 are m, and v, then their final velocities v, and v given by are Zm, Vat m, +m, m +m, and 2m, m, + m: m, + m,
Transcribed Image Text:1. A movie creator is designing a jungle-vine-swinging sequence for the latest Tarzan movie. To determine Tarzan's speed at the low paint of the swing and to make sure it does not exceed mandatory safety limits, the movie creator decides to model the system of Tarzan + vine as pendulum. Assume that the model consists of a particle (Tarzan, mass 100 kg) hanging from a light string (the vine) of length I attached to a support. The angle between the vertical and the string is written as d. (A) Draw a free-body diagram for the object on the end of the string (Tarzan on the vine). (B) A infinitesimal distance along the arc (along which the object travels) Ido. Write an expression for the total work dWutut done on the partide as it travels that distance for an arbitrary angle o. () If the /= 7.0 m, and if the artide starts from rest at an angle 50", determine the partide's kinetic energy and speed at the low point of the swing using the work-kinetic-energy theorem. #2. Tennis player Ashleigh swings her 1000 g racket with a speed of 10 m/s. She hits a 60 g tennis ball that was approaching her at a speed of 20 m/s. The ball rebounds at 40 m/s. A) How fast is her racket moving immediately after the impact? You can ignore the interaction of the racket with her hand for the brief duration of the colision. B) If the tennis ball and racket are in contact for 10 ms, what is the average force that the racket exerts on the ball? How does this compare to the gravitational force on the ball? 3. A metal block of mass m starts from rest at a heigth h and sides down a frictionless plane incined at angle e with the horizontal, as shown in Figure 1. The block strikes a spring of force constant k. Find the distance the spring is compressed when the block momentarily stops. (Hint: Do not forget to label the points at which you are determining the energies. You will end up to a quadratic equation here.) Jmm #4. Show that in a one-dimensional elastic colsion, if the mass and velocity of object 1 are m, and Vu, and if the mass and velocity of object 2 are m, and v, then their final velocities v, and v given by are Zm, Vat m, +m, m +m, and 2m, m, + m: m, + m,
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