Yeah I got this question and I'm just wondering if I'm doing it right.(adsbygoogle = window.adsbygoogle || []).push({});

1. The problem statement, all variables and given/known data

A spring normally 10cm long and whose force constant is 150 n/m is connected to another spring normally 20cm long and whose force constant is 100 n/m. The combination is then pulled out so that its ends are 50cm apart.

a) find the amount each spring is stretched.

b) a 400g block on a frictionless surface is attached between the springs. find its period of oscillation.

2. Relevant equations

T = 2pi sqroot(m/k)

F = kx

3. The attempt at a solution

Well I tried something no idea if it is correct..

a) Made Xtotal = 0.2 because I subtracted the spring lengths

X1 = F/150

X2 = F/100

(F/150)+(F/100) = 0.2

F = 12

Then I subbed F values back into the original 2 equations to get X values.

b) For this question I assumed the combined force constant for the springs would be additive so

k = 250 n/m

m = 0.4 kg

T = 2pi sqroot (m/k)

= 2pi sqroot (0.4/250)

= 0.25s (approx)

Need to know if I'm doing this right or horribly wrong..

Cheers

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# Homework Help: Simple Harmonic Motion - Two springs attached

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