Shown in the figure is an ideal spring hanging from a ceiling. When a mass 5.15
ID: 2254335 • Letter: S
Question
Shown in the figure is an ideal spring hanging from a ceiling. When a mass 5.15 kg is attached to the spring (as shown in the middle system), the spring stretches by 0.0105 m. The mass is then pushed up from its equilibrium position 0.0210 m and released, as shown on the far right. Calculate the kinetic energy the mass possesses when passing through the equilibrium position.
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k x = mg
x = m g / x = 5.15 * 9.8 / 0.0105
= 4806.66 N/m
w = sqrt[k/m] = sqrt[4806.66 / 5.15]
= 30.55 rad/s
v = A w = 0.0210 * 30.55
= 0.642 m/s
KE = 1/2 m v^2
= 0.5 * 5.15 * 0.642^2
= 1.06 J
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