A student measures the force required to stretch a spring by various amounts and

Question

A student measures the force required to stretch a spring by various amounts and makes the graph shown in the figure, which plots this force as a function of the distance the spring has stretched.

A. Does this spring obey Hooke's law? (Y/N)

B. What is the force constant of the spring, in N/m?

C. What force would be needed to stretch the spring a distance of 17cm from its unstretched length, assuming that it continues to obey Hooke's law? (in N)

A student measures the force required to stretch a spring by various amounts and makes the graph shown in the figure, which plots this force as a function of the distance the spring has stretched. A. Does this spring obey Hooke's law? (Y/N) B. What is the force constant of the spring, in N/m? C. What force would be needed to stretch the spring a distance of 17cm from its unstretched length, assuming that it continues to obey Hooke's law? (in N)

Explanation / Answer

A) The graph is linear so obeys hooke's law B) K = F/x = 15/10 = 1.5N/cm = 150N/m C) F = Kx = 1.5*17 = 25.5 N

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