A package is fastened to the lower end of a light vertical spring and rests on a table. The package has a mass M and the upper end of the spring is fastened to a block of mass m. The upper block is pushed down by an additional force 3mg, so the spring compression is 4mg. In this configuration, the upper block is released from rest. The spring lifts the lower block off the table. What is the ratio of M/m that yields the greatest possible value for M? k m

A package is fastened to the lower end of a light vertical spring and rests on a table. The package has a mass M and the upper end of the spring is fastened to a block of mass m. The upper block is pushed down by an additional force 3mg, so the spring compression is 4mg. In this configuration, the upper block is released from rest. The spring lifts the lower block off the table. What is the ratio of M/m that yields the greatest possible value for M? k m

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter8: Potential Energy And Conservation Of Energy

Section: Chapter Questions

Problem 37P: Assume that the force of a bow on an arrow behaves like the spring force. In aiming the arrow, an...

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A 1.00-kg object slides to the right on a surface having a coefficient of kinetic friction 0.250 (Fig. P7.68a). The object has a speed of vi = 3.00 m/s when it makes contact with a light spring (Fig. P7.68b) that has a force constant of 50.0 N/m. The object comes to rest after the spring has been compressed a distance d (Fig. P7.68c). The object is then forced toward the left by the spring (Fig. P7.68d) and continues to move in that direction beyond the springs unstretched position. Finally, the object comes to rest a distance D to the left of the unstretched spring (Fig. P7.68e). Find (a) the distance of compression d, (b) the speed v at the unstretched position when the object is moving to the left (Fig. P7.68d), and (c) the distance D where the object comes to rest. Figure P7.68
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