260 CHAPTER 10 Interactions and Potential Energy Challenge Problems 72. I A 10 kg bc CALC in FIGURE CP1 69. I A pendulum is formed from a small ball of mass m on a string of length L. As FIGURE CP10.69 shows, a peg is height h=L/3 above the pendulum's lowest point. From what minimum angle 0 must the pendulum be released in order for the ball to go over the constant is 250 a. What is the b. At what co top of the peg without the string going slack? maximum www 30° FIGURE CP10.7 Peg 73. II The spring 1000 N/m. It : h=L/3 FIGURE CP10.69 The horizonta of kinetic frict: 70. II In a physics lab experiment, a compressed spring launches block sail thro

260 CHAPTER 10 Interactions and Potential Energy Challenge Problems 72. I A 10 kg bc CALC in FIGURE CP1 69. I A pendulum is formed from a small ball of mass m on a string of length L. As FIGURE CP10.69 shows, a peg is height h=L/3 above the pendulum's lowest point. From what minimum angle 0 must the pendulum be released in order for the ball to go over the constant is 250 a. What is the b. At what co top of the peg without the string going slack? maximum www 30° FIGURE CP10.7 Peg 73. II The spring 1000 N/m. It : h=L/3 FIGURE CP10.69 The horizonta of kinetic frict: 70. II In a physics lab experiment, a compressed spring launches block sail thro

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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A block of mass 0.688 kilograms resting on a smooth horizontal surface is attached to a spring with a spring constant of 33.4 newtons per meter. The block is pulled horizontally 14.1 centimeters from its equilibrium position and released. a. What is the total mechanical energy of the system? Include units in your answer. b. What is the speed of the block when it is 9.0 centimeters from its equilibrium position? Include units in your answer. c. One end of the spring is then attached to a support so it hangs vertically, and the block is suspended from it and lowered into a resting position. How far does the block stretch the spring? Include units in your answer. d. As shown below, the block is then lifted 14.1 centimeters (labeled d in the figure) and released. What is the speed of the block when it is 9.0 centimeters from its equilibrium position (labeled y in the figure)? Include units in your answer. More information. Hint: Since the vertical position of the block is changing,…
You will solve the following problem twice, first using kinematics and second using the ideas of conservation of energy: A mass is attached to a spring with a spring constant of k=11 N/m. The motion of the mass can be described by the equation x(t) = 35 cos (1.2n t), where x(t) is cm. You want to figure out how fast the mass is moving at x = 28 cm. A. Find a solution using the kinematic relationship, v(t) = x(t). B. Find a solution using the principle of conservation of energy: E = KE + U
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5. A 60 kg circus performer is swinging from a trapeze bar.A: She is 10 m off the ground with a speed v1. The spring-board platform below her is atits equilibrium length.B: She lets go of the trapeze bar and lands on th spring-board platform, which compresseswhen she lands on it. When she is stationary, she is 2 m off the ground and the springis maximally compressed.C: The spring-board extends and launches her back into the air. As soon as the spring istotally relaxed again, the performer is 3 m off the ground and has a speed v2.D: The performer lands on a platform 10 m above the floor, and she stands stationary. a. Her initial speed v1 = 10 m/s. What is her total energy at point A? b. Between points A and B, assume none of her energy is lost to heat or friction. Whenshe is stationary on the compressed platform at B, how much energy is stored in thespring-board platform? c. When the spring-board platform is fully released at point C, what must her speed v2 be?
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1. A block of mass m is pushed against (but not attached to) a spring with stiffness k so that the spring is compressed a distance Ar. When released, the block slides across the frictionless surface of a shelf a height h above the floor, the then falls to the floor. a. What is the speed of the block at the moment it leaves the shelf? V2 = b. What is the speed of the block at the moment just before it hits the ground? Vr =
3. DETAILS n mq MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER You are working with a movie director and investigating a scene with a cowboy sliding off a tree limb and falling onto the saddle of a moving horse. The distance of the fall is several meters, and the calculation shows a high probability of injury to the cowboy from the stunt. Let's look at a simpler situation. Suppose the director asks you to have the cowboy step off a platform 2.95 m off the ground and land on his feet on the ground. The cowboy keeps his legs straight as he falls, but then bends at the knees as soon as he touches the ground. This allows the center of mass of his body to move through a distance of 0.660 m before his body comes to rest. (Center of mass will be formally defined in Linear Momentum and Collisions.) You assume this motion to be under constant acceleration of the center of mass of his body. To assess the degree of danger to the cowboy in this stunt, you wish to calculate the average force upward on…