Map pling learning ny physical properties, such as force and mass, cannot be mea

Question

Map pling learning ny physical properties, such as force and mass, cannot be measured directly. Rather, some other physical roperty is measured and the desired physical property computed from the results. For example, a bathroom scale does not actually measure mass or "weight," but rather the compression distance of a spring. The numerical values on the scale are calibrated from the compression distance using basic physics principles such as Newton's second law Coefficients of friction cannot be measured directly. In this problem, we are going to learn how we can indirectly measure the coefficient of kinetic friction between two surfaces by directly measuring the expansion of a spring. Consider a 3.23 kg block that is dragged by a spring on a (relatively) frictionless horizontal surface at constant velocity. Suppose the block reaches a rough patch and the spring stretches by 4.25 cm. Compute the coefficient of kinetic friction ubetween the block and the rough patch if the spring has a force constant of 152.0 N/m. Number Previous 3 Give Up & View Solution Check Answer Next Exit Hint

Explanation / Answer

Given that

Mass of the block (m) =3.23kg

The string stretched to a length (x) =4.25cm=0.0425m

The spring constant (k) =152N/m

Acceleration due to gravity (g) =9.81m/s2

We know that

F=kx

and F =ukN

ukN =kx

uk =k*x/mg

     =(152N/m)(0.0425m)/(3.23kg)(9.81m/s2)

      =0.2038

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