Please answer with steps to help me understand the process. Thanks. A Homework04

Question

Please answer with steps to help me understand the process. Thanks.

A Homework04-SP16 Use The Approximation T Madi × C -https://www.webassign.net/web/Student/Assignment-Responses/submit?dep-12941 165 Additional Materials Section 2.6 11. + -/2 points MI4 2.6.042 My Notes Ask Your Teacher Use the approximation that Vava -Pf/m for each time step. avg A spring with a relaxed length of 25 cm and a stiffness of 14 N/m stands vertically on a table. A block of mass 76 g is attached to the top of the spring. You pull the block upward, stretching the spring until its length is now 31.0 cm, hold the block at rest for a moment, and then release it. Using a time step of 0.1 s, predict the position and momentum of the block at a time 0.2 s after you release the block. (Assume the +y direction is upward. Express your answers in vector form.) kg m/s Additional Materials Section 2.6 Submit Answer Save Pro gress 12. 1/3 points Previous Answers MI4 2.6.044 My Notes Ask Your Teacher 3:43 PM

Explanation / Answer

Length increase= x = 31-25=6 cm=0.06 m

As F=ma=kx

a= kx/m=14*0.06/0.076 =11.05 m/s^2

Now S=ut + 0.5at^2 =0+0.5*11.05*0.2^2 =0.221 m

Also v=u + at =0 + 11.05*0.2 =2.21 m/s

So momentum p=mv =0.076*2.21=0.16796 kg.m/s

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