Assume "Force Mapping" mode of the AFM to identify stiffness whereby the governing equation Is: 2' - 20= " F(1-V) 2 Ftana a. Assume the spring constant for the cantilever arm is 0.5 N/m b. Assume the cantilever base lowers from an initial contact position a total distance of 10 x 105 m c. Assume the probe penetrates the cell surface 4 x 109 m d. Recall that the force noise on an AFM probe is ,/k k.T and assume that Boltzmann's constant Is 1 x 10 "3 J/K (note: 1 ) = 1 Nm) If T = 180K, what is the signal-to-noise ratio on the measurement of the force between the probe and cell surface