Morning glories close their petals at night and reopen each morning. The motion of one petal can be represented as mass attached to a simple spring. At 12am the petals are most condensed. At 6am and 6pm they are halfway opened. At 12pm they are fully expanded. The stiffness of the petal (its K equivalent) is 1.5x10^-11N/m and each petal has a Mass of 0.002kg A. What is the period of a petal's motion? B. For a petal 6cm longer when fully expanded compared to when it is most condensed, what is its total mechanical energy at 3pm? (Assume t=0 at 12:00am) C. Suppose somebody forgot to add fertilizer and the amplitudes for the oscillation of the petals are decreasing over time. The motion of the petals are now represented by equation: ma + cv + kx=0. The damping factor c=5x10^-8. Give an equation that represents the petal's displacement as a function of time.
Morning glories close their petals at night and reopen each morning. The motion of one petal can be represented as mass attached to a simple spring. At 12am the petals are most condensed. At 6am and 6pm they are halfway opened. At 12pm they are fully expanded. The stiffness of the petal (its K equivalent) is 1.5x10^-11N/m and each petal has a Mass of 0.002kg
A. What is the period of a petal's motion?
B. For a petal 6cm longer when fully expanded compared to when it is most condensed, what is its total
C. Suppose somebody forgot to add fertilizer and the amplitudes for the oscillation of the petals are decreasing over time. The motion of the petals are now represented by equation: ma + cv + kx=0. The damping factor c=5x10^-8. Give an equation that represents the petal's displacement as a function of time.
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