7. A spring with negligible mass and force constant k is kept straight by confining it within a smooth-walled vertical tube (no friction). The spring is initially compressed by an amount y, and held there by a latch pin inserted through the wall of the tube. A smooth ball of mass m is placed in contact with the spring as shown in the figure. The latch pin is removed. 7a) What will be the speed of the ball (in terms of k, m, and y,) as it leaves contact with the spring? (Hint: Your answer can also have g for the acceleration of gravity.) (Hint: Carefully define your coordinate system and where you would like to place y = 0.)

7. A spring with negligible mass and force constant k is kept straight by confining it within a smooth-walled vertical tube (no friction). The spring is initially compressed by an amount y, and held there by a latch pin inserted through the wall of the tube. A smooth ball of mass m is placed in contact with the spring as shown in the figure. The latch pin is removed. 7a) What will be the speed of the ball (in terms of k, m, and y,) as it leaves contact with the spring? (Hint: Your answer can also have g for the acceleration of gravity.) (Hint: Carefully define your coordinate system and where you would like to place y = 0.)

Physics for Scientists and Engineers

10th Edition

ISBN:9781337553278

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter7: Energy Of A System

Section: Chapter Questions

Problem 47AP: An inclined plane of angle = 20.0 has a spring of force constant k = 500 N/m fastened securely at...

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An inclined plane of angle has a spring of force constant k fastened securely at the bottom so that the spring is parallel to the surface. A block of mass m is placed on the plane at a distance d from the spring. From this position, the block is projected downward toward the spring with speed v as shown in Figure P7.47. By what distance is the spring compressed when the block momentarily comes to rest?
Two blocks of masses m and 3m are placed on a frictionless, horizontal surface. A light spring is attached to the more massive block, and the blocks are pushed together with the spring between them (Fig. P9.5). A cord initially holding the blocks together is burned; after that happens, the block of mass 3m moves to the right with a speed of 2.00 m/s. (a) What is the velocity of the block of mass m? (b) Find the systems original elastic potential energy, taking m = 0.350 kg. (c) Is the original energy in the spring or in the cord? (d) Explain your answer to part (c). (e) Is the momentum of the system conserved in the bursting-apart process? Explain how that is possible considering (f) there are large forces acting and (g) there is no motion before-hand and plenty of motion afterward? Figure P9.5
An inclined plane of angle = 20.0 has a spring of force constant k = 500 N/m fastened securely at the bottom so that the spring is parallel to the surface as shown in Figure P7.47. A block of mass m = 2.50 kg is placed on the plane at a distance d = 0.300 m from the spring. From this position, the block is projected downward toward the spring with speed v = 0.750 m/s. By what distance is the spring compressed when the block momentarily comes to rest? Figure P7.47 Problems 47 and 48.
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