A 35.0 kg block at rest on a horizontal frictionless table is connected to the wall via a spring with a spring constant k=25.0 N/m. A 3.60×10-2 kg bullet travelling with a speed of 490 m/s embeds itself in the block. What is the amplitude of the resulting simple harmonic motion?(adsbygoogle = window.adsbygoogle || []).push({});

Okay.

So If i'm not mistaken, we're looking for Amplitude or Max displacement.

What I did first was try to find the intial velocity of the block with :

V= ((m_1)/(m_1+m_2))*V_1_i

V_1_i = 490 m/s

m_1 = .036 kg

m_2 = 35 kg

I got apprx. .5 m/s for the final object which weighs 35.036 kg.

i then found angular frequency with :

w^2= (k/m)

Then if found the period:

w= (2*pi/T)

With the period i found the frequency:

T = (1/f)

.. this is kinda where i get stuck ..

I then assumed the time it takes to get to the max displacement is half of the period. I don't know if i can do that, but i did : ).

And even after assuming that, I'm stuck.

I think my knowns are, Velocity, Mass, Angular frequency, Spring constant, Period, frequency, and time.

Did i do something wrong, If not, where can i go from here to find the amplitude?

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# Homework Help: Collision Spring SHM *Stuck*

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