from part A to D please Item 4 Part A Find the frequency of the subsequent oscil

Question

from part A to D please

Item 4 Part A Find the frequency of the subsequent oscillations. Express your answer with the appropriate units. A 20.0-kg mass is traveling to the right with a speed of 2.20 m/s on a smooth horizontal surface when it collides with and sticks to a second 20.0-kg mass that is initially at rest but is attached to a light spring with force constant 190 N/m f=1 Value Units Submit My Answers Give Up Part B Find the amplitude of the subsequent oscillations Express your answer with the appropriate units. A-Value Units Submit My Answers Give Up Part C Find the period of the subsequent oscillations. Express your answer with the appropriate units. T-Value Units Submit My Answers Give Up Part D How long does it take the system to return the first time to the position it had immediately after the collision? Express your answer with the appropriate units.

Explanation / Answer

Part A:

mass of system =20+20=40 kg

spring constant = 190 N/m

frequency of oscillation = sqrt(k/m)=sqrt(190/40)=2.18 rad/s

Part B:

The amplitude of the oscillation =maximum compression in spring

initial momentum of system = 20*2.2= 44 kg-m/s

final momentum of system just after the two blocks attach = 40v

40v = 44

v=1.1 m/s

Final kinetic energy of system just after collision = 0.5*40*1.12=24.2 Joules

this energy will be transferred to the spring

let maximum compression in spring be x

0.5*190*x2 =24.2

x=0.505 m

Part C:

Period of subsequent oscillation=2*pi/2.18=2.88 seconds

Part D:

The time required for the system to rreach the position just after collision,for the first time = 2.88/2=1.44 seconds

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