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GOAL Use conservation of energy to calculate the speed of a block on a horizontal pring with and without friction. ROBLEM A block with mass of 5.00 kg is attached to a horizontal spring with spring onstant k= 4.00 x 10° N/m, as in Figure 5.22. The surface the block rests upon is frie- onless. If the block is pulled out to x= 0.050 0 m and released, (a) find the speed of the lock when it first reaches the equilibrium point, (b) find the speed when x= 0.025 0 m, nd (c) repeat part (a) if friction acts on the block, with coefficient u, = 0.150. www- TRATEGY In energy, Equation 5.19, can be applied. In part (c) the definition of work and the ork-energy theorem are needed to deal with the loss of mechanical energy due to riction. parts (a) and (b) there are no nonconservative forces, so conservation Figure 5.22 (Exa attached to a sprie SOLUTION a) Find the speed of the block at equilibrium point. image(7PS

GOAL Use conservation of energy to calculate the speed of a block on a horizontal pring with and without friction. ROBLEM A block with mass of 5.00 kg is attached to a horizontal spring with spring onstant k= 4.00 x 10° N/m, as in Figure 5.22. The surface the block rests upon is frie- onless. If the block is pulled out to x= 0.050 0 m and released, (a) find the speed of the lock when it first reaches the equilibrium point, (b) find the speed when x= 0.025 0 m, nd (c) repeat part (a) if friction acts on the block, with coefficient u, = 0.150. www- TRATEGY In energy, Equation 5.19, can be applied. In part (c) the definition of work and the ork-energy theorem are needed to deal with the loss of mechanical energy due to riction. parts (a) and (b) there are no nonconservative forces, so conservation Figure 5.22 (Exa attached to a sprie SOLUTION a) Find the speed of the block at equilibrium point. image(7PS

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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YouTube .l LTE 12:30 AM O N 62% +1 (347) 681-3514 All Media 4/21/21, 12:29 AM ergy, exeept that the equilibrium point of any spring in the problem must be lefined in addition to the zero point for gravitational potential energy. Quick Quiz 5.5 Calculate the elastic potential energy of a spring with spring constant k= 225 N/m that is (a) compressed and (b) stretched by 1.00 x 10 m. 5.6 True or False: The elastic potential energy of a stretched or compressed spring is always positive. 5.7 Elastic potential energy depends on the spring constant and the distance the spring is stretched or compressed. By what factor does the elastic potential energy change if the spring's stretch is (a) doubled or (b) tripled? EXAMPLE 5.9 A HORIZONTAL SPRING GOAL Use conservation of energy to calculate the speed of a block on a horizontal pring with and without friction. F, PROBLEM A block with mass of 5.00 kg is attached to a horizontal spring with spring onstant k = 4.00 × 10² N/m, as in Figure 5.22. The surface the block rests upon is fric- onless. If the block is pulledout to x, = 0.050.0 m and released, (a) find the speed of the lock when it first reaches the equilibrium point, (b) find the speed when x = 0.025 0 m, nd (c) repeat part (a) if friction acts on the block, with coefficient u, = 0.150. wW- TRATEGY In parts (a) and (b) there are no nonconservative forces, so conservation f energy, Equation 5.19, can be applied. In part (c) the definition of work and the ork-energy theorem are needed to deal with the loss of mechanical energy due to riction. Figure 5.22 (Exam attached to a spring SOLUTION a) Find the speed of the block at equilibrium point. image(7jps
Transcribed Image Text:YouTube .l LTE 12:30 AM O N 62% +1 (347) 681-3514 All Media 4/21/21, 12:29 AM ergy, exeept that the equilibrium point of any spring in the problem must be lefined in addition to the zero point for gravitational potential energy. Quick Quiz 5.5 Calculate the elastic potential energy of a spring with spring constant k= 225 N/m that is (a) compressed and (b) stretched by 1.00 x 10 m. 5.6 True or False: The elastic potential energy of a stretched or compressed spring is always positive. 5.7 Elastic potential energy depends on the spring constant and the distance the spring is stretched or compressed. By what factor does the elastic potential energy change if the spring's stretch is (a) doubled or (b) tripled? EXAMPLE 5.9 A HORIZONTAL SPRING GOAL Use conservation of energy to calculate the speed of a block on a horizontal pring with and without friction. F, PROBLEM A block with mass of 5.00 kg is attached to a horizontal spring with spring onstant k = 4.00 × 10² N/m, as in Figure 5.22. The surface the block rests upon is fric- onless. If the block is pulledout to x, = 0.050.0 m and released, (a) find the speed of the lock when it first reaches the equilibrium point, (b) find the speed when x = 0.025 0 m, nd (c) repeat part (a) if friction acts on the block, with coefficient u, = 0.150. wW- TRATEGY In parts (a) and (b) there are no nonconservative forces, so conservation f energy, Equation 5.19, can be applied. In part (c) the definition of work and the ork-energy theorem are needed to deal with the loss of mechanical energy due to riction. Figure 5.22 (Exam attached to a spring SOLUTION a) Find the speed of the block at equilibrium point. image(7jps
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