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Calculating elongation of the spring
Consider a spring of spring constant 100 N/m.. it is suspended vertically and a block of 1kg is attached to it.. calculate the elongation of the spring from the equilibrium position.
 one year ago
 one year ago
Calculating elongation of the spring Consider a spring of spring constant 100 N/m.. it is suspended vertically and a block of 1kg is attached to it.. calculate the elongation of the spring from the equilibrium position.
 one year ago
 one year ago

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MashyBest ResponseYou've already chosen the best response.0
I did it in two methods and i get different answers.. a) using net force at equilibrum is zero at the final position the net force is zero. and there are two forces acting hence kx + mg = 0 so x =mg/k  (1) b) Considering energy conservation Total Energy before = Total energy after T.E before = PEg = mgh (Say h is the height above the ground just when block released) T.E after = PEg + PEspring = mg (hx) + 1/2 Kx^2 mgh = mgh  mgx +!/2 kx^2 mgx = 1/2kx^2 mg = 1/2kx x = 2mg/k see i get double the answer :(!!
 one year ago

imron07Best ResponseYou've already chosen the best response.1
In b), you were finding x at the lowest point if the spring is released from some height. In a) x is elongation when the block reach equilibrium, not oscillating anymore.
 one year ago

MashyBest ResponseYou've already chosen the best response.0
Ohhhhhh.. stupid .. stupid I AM!!!!!.. HTANK YOU!!!!
 one year ago

MashyBest ResponseYou've already chosen the best response.0
is it not possible to find the elongation a) part which you mentioned using energy conservation?
 one year ago

MashyBest ResponseYou've already chosen the best response.0
maybe i have to use the k.E also.. right??
 one year ago

MashyBest ResponseYou've already chosen the best response.0
correct.. i have to consider KE .. cause it ll have some K.E at that point!!!!!!
 one year ago

imron07Best ResponseYou've already chosen the best response.1
Hmm, I don't know if it's possible. Because if you drop the block from some height, it'll stop only if the energy is dissipated by friction. With the friction into account, conservation of mechanical energy couldn't be applied.
 one year ago
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