A 0.0163-kg bullet is fired horizontally into a 3.56-kg wooden block attached to one end of a massless, horizontal spring (k = 882 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 0.152 m. What is the speed of the bullet? Number i mm. mmm. Units

A 0.0163-kg bullet is fired horizontally into a 3.56-kg wooden block attached to one end of a massless, horizontal spring (k = 882 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 0.152 m. What is the speed of the bullet? Number i mm. mmm. Units

Name: A 0.0163-kg bullet is fired horizontally into a 3.56-kg wooden block
Uploaded: 2024-03-20T06:51:10.000Z
Channel: Bartleby
Description: A 0.0163-kg bullet is fired horizontally into a 3.56-kg wooden block attached to one end of a massless, horizontal spring (k = 882 N/m).The other end of the spring is fixed in place, and the spring is unstrained initially. The block rests on a horiz

Physics for Scientists and Engineers, Technology Update (No access codes included)

9th Edition

ISBN:9781305116399

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter9: Linear Momentum And Collisions

Section: Chapter Questions

Problem 9.89AP: A 5.00-g bullet moving with an initial speed of i = 400 m/s is fired into and passes through a...

See similar textbooks

Similar questions

A 5.00-g bullet moving with an initial speed of v = 400 m/s is fired into and passes through a 1.00-kg block as shown in Figure P8.57. The block, initially at rest on a frictionless, horizontal surface, is connected to a spring with force constant 900 N/m. The block moves d = 5.00 cm to the right after impact before being brought to rest by the spring. Find (a) the speed at which the bullet emerges from the block and (b) the amount of initial kinetic energy of the bullet that is converted into internal energy in the bullet-block system during the collision. Figure P8.57
A cannon is rigidly attached to a carriage, which can move along horizontal rails but is connected to a post by a large spring, initially unstretchcd and with force constant k = 2.00 104 N/m, as shown in Figure P8.60. The cannon fires a 200-kg projectile at a velocity of 125 m/s directed 45.0 above the horizontal. (a) Assuming that the mass of the cannon and its carriage is 5 000 kg, find the recoil speed of the cannon. (b) Determine the maximum extension of the spring. (c) Find the maximum force the spring exerts on the carriage. (d) Consider the system consisting of the cannon, carriage, and projectile. Is the momentum of this system conserved during the firing? Why or why not?
A 5.00-g bullet moving with an initial speed of i = 400 m/s is fired into and passes through a 1.00-kg block as shown in Figure P9.89. The block, initially at rest on a frictionless, horizontal surface, is connected to a spring with force constant 900 N/m. The block moves d = 5.00 cm to the right after impact before being brought to rest by the spring. Find (a) the speed at which the bullet emerges from the block and (b) the amount of initial kinetic energy of the bullet that is converted into internal energy in the bullet-block system during the collision.
As shown in Figure P8.20, a bullet of mass m and speed v passes completely through a pendulum bob of mass M. The bullet emerges with a speed of v/2. The pendulum bob is suspended by a stiff rod (not a string) of length , and negligible mass. What is the minimum value of v such that the pendulum bob will barely swing through a complete vertical circle? Figure P8.20
A 0.0358-kg bullet is fired horizontally into a 2.19-kg wooden block attached to one end of a massless, horizontal spring (k = 864 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 0.283 m. What is the speed of the bullet? Number M wwww mm Units
A block of mass M = 5.80 kg, at rest on a horizontal frictionless table, is attached to a rigid support by a spring of constant k = 5260 N/m. A bullet of mass m = 9.80 g and velocity v of magnitude 710 m/s strikes and is embedded in the block (the figure). Assuming the compression of the spring is negligible until the bullet is embedded, determine (a) the speed of the block immediately after the collision and (b) the amplitude of the resulting simple harmonic motion. m (a) Number i Units (b) Number i Units
A 0.0112-kg bullet is fired horizontally into a 3.04-kg wooden block attached to one end of a massless, horizontal spring (k = 886 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 0.264 m. What is the speed of the bullet? m m M W un
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 bullet with a mass m, = 12.7 g is fired into a block of wood at velocity v, 253 m/s. The block is attached to a spring that has a spring constant k of 205 N/m. The block and bullet continue to move, compressing the spring by 35.0 cm before the whole system momentarily comes to a stop. Assuming that the surface on which the block is resting is frictionless, determine the mass mw of the wooden block. mw = kg
A bullet with a mass m, = 11.5 g is fired into a block of wood at velocity v, = 245 m/s. The block is attached to a spring that has a spring constant k of 205 N/m. The block and bullet continue to move, compressing the spring by 35.0 cm before the whole system momentarily comes to a stop. Assuming that the surface on which the block is resting is frictionless, determine the mass mw of the wooden block. т, тy — 304.6 kg
A massless spring with spring constant k = 25 N/m is attached at one end of a block of mass M = 3.0 kg that is resting on a frictionless horizontal table. The other end of the spring is fixed to a wall. A bullet of mass m = 0.3 kg is fired into the block from the left with a speed vo= 200 m/s and comes to rest in the block (assume that this happens instantaneously). m M x=0 x=0 M+m, x=0 o o o o o o o o o The resulting motion of the block and bullet is simple harmonic motion. k ö o o o ó o o o o X M+m000000000 a. Find the amplitude of the resulting simple harmonic motion. b. How long does it take the block to first return to the position x = 0?
A bullet with a mass mb=11.9g is fired into a block of wood at velocity vb=257 m/s The block is attached to a spring that has a spring constant kk of 205 N/m. The block and bullet continue to move, compressing the spring by 35.0 cm before the whole system momentarily comes to a stop. Assuming that the surface on which the block is resting is frictionless, determine the mass mwmw of the wooden block.