Agent Arlene devised the following method of measuring the muzzle velocity of a rifle (the figure below). She fires a bullet into a 4.269-kgkg wooden block resting on a smooth surface, and attached to a spring of spring constant kkk = 162.9 N/mN/m . The bullet, whose mass is 7.870 gg, remains embedded in the wooden block. She measures the maximum distance that the block compresses the spring to be 9.460 cmcm .What is the speed vv of the bullet? This image demonstrates a physics scenario involving conservation of momentum and spring mechanics. ### DescriptionThe diagram consists of two parts illustrating a spring and block system before and after a collision.1. **Top Part of the Diagram:** - There is a wooden horizontal surface. - A yellow block labeled \( M \) is attached to a horizontal spring with a spring constant labeled \( k \). - A smaller object labeled \( m \) with a velocity labeled \( \vec{v} \) is moving horizontally towards the larger mass \( M \).2. **Bottom Part of the Diagram:** - After the collision, the combined masses \( M + m \) compress the spring. - The compression of the spring is shown, with a measured distance of \( 9.460 \) cm between the initial and the final position of the block's edge.### Explanation:- The image indicates a system designed to study conservation of momentum and energy.- The smaller object \( m \) collides with the initially stationary larger mass block \( M \).- The total momentum of the system before and after the collision is conserved.- Post-collision, the combined mass of \( M + m \) compresses the spring by \( 9.460 \) cm due to the collision's impact.- The spring's compression can be analyzed using Hooke's Law, \( F = kx \), where \( x \) is the compression distance, revealing the relationship between force and spring displacement.This setup can be used to calculate and understand various principles such as momentum conservation during collisions and elastic potential energy stored in springs.

Name: Agent Arlene devised the following method of measuring the muzzle velo
Uploaded: 2024-03-20T06:57:37.000Z
Channel: Bartleby
Description: Agent Arlene devised the following method of measuring the muzzle velocity of a rifle (the figure below). She fires a bullet into a 4.269-kgkg wooden block resting on a smooth surface, and attached to a spring of spring constant kkk = 162.9 N/mN/m .