ay, Fundamentals of Physics, 10e PRINTER VERSION BACK NEXT Chapter 15, Problem 0

Question

ay, Fundamentals of Physics, 10e PRINTER VERSION BACK NEXT Chapter 15, Problem 033 Problem Problem roblem Your answer is partially correct. Try again A block of mass M-570 kg, at rest on a horizontal frictionless table' is attached to a rigid support by a spring of constant k·6260 N A bullet of mass m-9.70 g and velocity of magnitude 720 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. roblem roblem (a) N (b) N Click if you would like to Show Work for this question: Open Show Work 1.22 by Study TO SAMPLE PROBLEM O SAMPLE PROBLEM pe here to search 023 AM 11/28/2017

Explanation / Answer

here,

mass of bullet , m1 = 9.7 g = 0.0097 kg

m2 = 5.7 kg

spring constant , K = 6260 N/m

intial speed of bullet , u =720 m/s

a)

let the speed of block after the collison be v

using conservation of momentum

m1 * u = ( m1 + m2) * v

0.0097 * 720 = ( 0.0097 + 5.7) * v

solving for v

v= 1.22 m/s

b)

let the amplitude of motion be A

using conservation of energy

0.5 * k * A^2 = 0.5 * (m1 + m2) * v^2

6260 * A^2 = ( 5.7 + 0.0097) * 1.22^2

A = 3.69 * 10^-2 m

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