(a) What objects constitute the system, and through what forces do they interact

Question

(a) What objects constitute the system, and through what forces do they interact? (b) What are the two points of interest? (c) Find the energy stored in the spring when the mass is stretched 6.80 cm from equilibrium and again when the mass passes through equilibrium after being released from rest. x = 6.80 = J x = 0 = J (d) Write the conservation of energy equation for this situation and solve it for the speed of the mass as it passes equilibrium. (e) Substitute to obtain a numerical value. = m/s (f) What is the speed at the halfway point? = m/s

Explanation / Answer

a) spring and mass constitute the system force on block = -kx by spring and force on spring = kx by block b) when spring is compressed to maximum when block is released. c) spring energy at x = 0.068 m ,1/2kx2 = 1.66464 J at x = 0 0 J d ) conservation of energy 1/2 * k * x^2 = 1/2 * m * v^2 v =1.739 m/sec e ) to obtain numerical value of what?? if it is asking for v then it is already calculated above f) at halfway x = 0.034m 1/2 * k* (0.034)^2 = 1/2 * m * v^2 v = 0.756 m/sec

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