What is the period of the spring's motion after the car strikes it?

AI Thread Summary
The discussion revolves around calculating the period of a spring's motion after an 870 kg car strikes it at 16 m/s and compresses it by 10.0 m. The user initially attempts to use the formula T = 2π√(m/k) but struggles with the calculations, leading to confusion about the correct period. After several attempts, they realize that multiplying by 0.25 instead of 0.5 yields the correct result. The conversation highlights the importance of understanding the dynamics of spring compression and the factors affecting the period of motion. Ultimately, the user finds a solution to the problem through trial and error.
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A 870·kg car strikes a huge spring at a speed of 16·m/s, compressing it 10.0·m.

How long does it take the spring to stop the car?
2. Homework Equations - T= 2pi√m/k
I don't know why I can't get this problem right. I have 2pi√870/2227.2=3.92 then you would divide that by 2 because it's half the period to get it stopped which gives me 1.96 which doesn't work.
 
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Just solved it, not sure why I had to multiply it by .25 instead of .5 but I took a guess and it worked.
 

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