A verticle spring with constant k=2000 N/M has a small platform on top. You gent

Question

A verticle spring with constant k=2000 N/M has a small platform on top. You gently place a 5kg mass on the platform, without displacing the spring, and then you let go. This causes the mass to drop to some minimum height ( and maxium compression of the spring), and then it continnues to osciullate up and down. What is delta(y) the maximum change in the length of the spring?

( let g=10m/s^2, ignore friction and air resistance...)

A. 0.50m

B 0.40m

C. 0.20m

D. 0.10m

E. 0.05M

Please give answer and explain forumlas and concept please and thank you!

Explanation / Answer

Fnet = Mg - kx

at Fnet=0

x= Mg/k

at this point a=0

but again spring will compress by x till the velocity becmoses zero

so net maximum chnage = 2Mg/k

= 2*5*10/2000 = .05

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