Sapling Learning Many physical properties, such as force and mass, cannot be mea

Question

Sapling Learning Many physical properties, such as force and mass, cannot be measured directly. Rather, some other physica ty computed from the results. For example, a bathroom property is measured and the desired p 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 4.34 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 between the block and the rough patch if the spring has a force constant of 122.0 N/m. Number

Explanation / Answer

Using the equation,

(1/2)*k*x^2 - u*mg*x = 0

(1/2)*k*x^2 = u*m*g*x

Given , k = 122 N/m , x = 0.0425 m , m = 4.34 kg

Here u is coefficient of kinetic friction

So,

(1/2)*122*0.0425^2 = u*4.34*9.8*0.0425

u = 0.11/1.8

u = 0.06

Therefore coefficient of kinetic friction = 0.06

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