68. (a) Figure P9.68 shows three points in the operation of the bal- listic pendulum dis- cussed in Example Figure P9.67 9.6 (and shown in Fig. 9.9b). The projectile approaches the pendulum in Figure P9.68a. Figure P9.68b shows the situation just after the projectile is captured in the pendulum. In Figure P9.68c, the pendulum arm has swung upward and come to rest at a height h above its initial posi- tion. Prove that the ratio of the kinetic energy of the projectile-pendulum system immediately after the collision to the kinetic energy immediately before is m,/(m, + m,). (b) What is the ratio of the momentum of the system immediately after the collision to the momentum immediately before? (c) A student believes that such a large decrease in mechanical energy must be accompanied by at least a small decrease in momen- tum. How would you convince this student of the truth? Figure P9.68 Problens 68 and 86. (a) A metal ball moves toward the pendulum. (b) The ball is captured by the pendulum. (c) The ball-pendulum combination swings up through a height h before coming to rest.

68. (a) Figure P9.68 shows three points in the operation of the bal- listic pendulum dis- cussed in Example Figure P9.67 9.6 (and shown in Fig. 9.9b). The projectile approaches the pendulum in Figure P9.68a. Figure P9.68b shows the situation just after the projectile is captured in the pendulum. In Figure P9.68c, the pendulum arm has swung upward and come to rest at a height h above its initial posi- tion. Prove that the ratio of the kinetic energy of the projectile-pendulum system immediately after the collision to the kinetic energy immediately before is m,/(m, + m,). (b) What is the ratio of the momentum of the system immediately after the collision to the momentum immediately before? (c) A student believes that such a large decrease in mechanical energy must be accompanied by at least a small decrease in momen- tum. How would you convince this student of the truth? Figure P9.68 Problens 68 and 86. (a) A metal ball moves toward the pendulum. (b) The ball is captured by the pendulum. (c) The ball-pendulum combination swings up through a height h before coming to rest.

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)...

See similar textbooks

Similar questions

A 12.0-g bullet is fired horizontally into a 114-g wooden block that is initially at rest on a frictionless horizontal surface and connected to a spring having spring constant 143 N/m. The bullet becomes embedded in the block. If the bullet-block system compresses the spring by a maximum of 82.0 cm, what was the speed of the bullet at impact with the block? m/s
A 0.0155-kg bullet is fired horizontally into a 2.14-kg wooden block attached to one end of a massless, horizontal spring (k = 807 N/m). The other end of the spring is fixed in place, and the spring is unstrained initially. The block rests on a horizontal, frictionless surface. The bullet strikes the block perpendicularly and quickly comes to a halt within it. As a result of this completely inelastic collision, the spring is compressed along its axis and causes the block/bullet to oscillate with an amplitude of 0.261 m. What is the speed of the bullet? wwwwww wwwwwww
A 26-gg rifle bullet traveling 240 m/sm/s embeds itself in a 3.2-kgkg pendulum hanging on a 2.9-mm-long string, which makes the pendulum swing upward in an arc. a. Determine the vertical component of the pendulum's maximum displacement. Express your answer to two significant figures and include the appropriate units. b. Determine the horizontal component of the pendulum's maximum displacement. Express your answer to two significant figures and include the appropriate units.
A small wooden block with mass 0.775 kg is suspended from the lower end of a light cord that is 1.74 m long. The block is initially at rest. A bullet with mass 0.0128 kg is fired at the block with a horizontal velocity vo. The bullet strikes the block and becomes embedded in it. After the collision the combined object swings on the end of the cord. When the block has risen a vertical height of 0.700 m, the tension in the cord is 4.90 N. Part A What was the initial speed vo of the bullet? Express your answer with the appropriate units. v0 = 216 μÅ m S Submit Previous Answers Request Answer ? X Incorrect; Try Again; 4 attempts remaining
2. A 1.2 kg cart moving at 6.0 m/s [E] collides with a stationary 1.8 kg cart. The head-on collision is completely elastic and is cushioned by a spring. a) Find the velocity of each cart after the collision. Add Units and directions