(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A 250 g block is resting on a frictionless horizontal surface. The block is attached to a

spring. The mass-spring system is compressed by a 2.5 N force and then released from

rest.

(a) The resulting oscillation has a 1.0 s period. What is the spring constant?

(b) What is the amplitude of the oscillation?

(c) How fast is the block moving when it is 30.0 cm from its starting point?

(d) How long does the block take to travel this distance?

2. Relevant equations

T=2Pi/omega

T=2Pi*sqroot(m/k)

E=1/2mv^2 + 1/2kx^2=1/2kA^2

v=omega*sqroot(A^2-x^2)

m=mass

k=spring constant

A=amplitude

3. The attempt at a solution

I have solved for a) the spring constant, 9.87N/m. Then I tryed to use Fs=2.5N to solve for the A by applying the equation F=-kx, where x would repersent the amplitude. This is not working out because my A=0.25m and when inputed into equation for velocity, I get a negitive value under the square root, not allowed. So I was wondering if anyone had some input on this problem. Thank you.

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# Homework Help: SHM - mass-spring system on frictionless horizontal surface

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