A student suggests that the force of air resistance FA depends on the relative speed of an object passing through the air v according to FA = kvN, where k is a constant with appropriate units that depends on properties of the air and the size and shape of the object and N is a dimensionless exponent. The student has a hollow ball made of two hemispherical shells that can be connected together and disconnected, along with access to other commonly available materials. Write an experimental procedure that the student could follow to make measurements in order to find the value of N, and explain how a graph of In(FA) vs. In(v) could be used to find the values of k and N.
A student suggests that the force of air resistance FA depends on the relative speed of an object passing through the air v according to FA = kvN, where k is a constant with appropriate units that depends on properties of the air and the size and shape of the object and N is a dimensionless exponent. The student has a hollow ball made of two hemispherical shells that can be connected together and disconnected, along with access to other commonly available materials. Write an experimental procedure that the student could follow to make measurements in order to find the value of N, and explain how a graph of In(FA) vs. In(v) could be used to find the values of k and N.
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