Answered: A 10.0 g bullet is fired into and…

Name: A 10.0 g bullet is fired into and embeds itself in a 1.60 kg block att
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Description: A 10.0 g bullet is fired into and embeds itself in a 1.60 kg block attached to a spring with a spring constant of 21.9 N/m and whose mass is negligible. How far is the spring compressed if the bullet has a speed of 300 m/s just before it strikes the

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter6: Energy Of A System

Section: Chapter Questions

Problem 61P: An inclined plane of angle = 20.0 has a spring of force constant k = 500 N/m fastened securely at...

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A 10.0 g bullet is fired into and embeds itself in a 1.60 kg block attached to a spring with a spring constant of 21.9 N/m and whose mass is negligible. How far is the spring compressed if the bullet has a speed of 300 m/s just before it strikes the block, and the block slides on a frictionless surface? (Note: You must use conservation of momentum in this problem.) m

Expert Solution

Step 1

Given that,

Mass of a bullet, m = 10 g = .01 kg

Mass of a block, M = 1.6 kg

The spring constant of the spring, k = 21.9 N/m

The speed of a bullet just before it strikes the block, v = 300 m/s

Here, the collision is inelastic. So, the momentum will remain conserved. We can use the conservation of momentum to find the speed of the block immediately after being hit. Let v' is the speed of the block immediately after being hit. So,

$m v = M v'$

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