Let x = 0 locate the end of the unstretehed spring. An 8.0-kg mass is attached t
ID: 1485193 • Letter: L
Question
Let x = 0 locate the end of the unstretehed spring. An 8.0-kg mass is attached to the end of the spring, in equilibrium, the spring is stretched 6.0 cm. If friction is negligible, what is the stiffness of the spring measured in N/m? Suppose the mass is pulled lo x = 10 cm and released. Give the period of oscillation of the spring-mass system. Sketch a graph of mass position versus time on the grid at right. Where is the mass when it is moving with maximum speed? What is the minimum spring force and when docs it occur? Where is the mass when it is moving with maximum speed? What is the minimum spring force and when docs it occur?Explanation / Answer
a. k=F/(L2-L1)=8*9.8/(6-0) = 13.06N/cm
= 1306N/m.
b. T = 2*pi * sqrt(l/g)
= T = 2pi*sqrt(16/9.8)
= 8.03 s
d. When the mass has reached its maximum speed; so, the kinetic energy of the mass is at a maximum.
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