Explain what you are doing please. As in the friction experiment, a hanging mass

Question

Explain what you are doing please.

As in the friction experiment, a hanging mass is attached to a light string that passes over a pulley to a plastic block sitting on a horizontal aluminum track. The plastic block has a mass of 366 g (assumed to be exact) and moves at constant velocity along the track when the hanging mass is 152 plusminus 2 g. Calculate the coefficient of kinetic friction between the plastic and aluminum using the simple empirical model for friction introduced in your textbook. Calculate the uncertainty in the frictional coefficient based on the above data using the partial derivative method. Calculate the expected acceleration of the plastic block if the hanging mass is increased to 256 g (assumed to be exact) with all other conditions the same. Calculate the uncertainty in the expected acceleration using the partial derivative method.

Explanation / Answer

if constant velocity then

m hanging g - friction = 0

u M g = mhanging g

u = mhanging/M = 152/366=0.415

and then du = dmhanging/M = 2/366=0.005
so 0.415 +/- 0.005

b) now m haning g - u M g = M a

a = m hanging g/M - u g = 256*9.81/366 - 0.415*9.81=2.790

da = - du g = 0.005*9.81=0.05

so a = 2.79 +/- 0.05 m/s^2

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