A small particle of mass 2.0 x 10^-19 kg is attached to a nanofiber of relaxed length 0.50 nm (Recall that 1.0 nm + 10^-9 m) . The nanofiber is the black horizontal line-its attached to a substrate (an immovable wall) on the left. The plot is a graph of the force needed to stretch the nanofiber by pulling to the right on it. Let’s just call the length of the nanofiber for simplicity.

a) calculate the force constant-the “spring constant” k for this nanofiber.

b) assume that the nanofiber is stretched to a total length of x = 3.0 nm and released from rest. Then the particle will move back and forth along the x direction. Use your k from part a to compute the maximum speed of the particle as it oscillates back and forth.


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Just a note. 1 nm is 1 x 10^-9 m and not 1 + 10^-9 m.