Physics 1 (Simple Harmoic Motion) Please help, will rate. Thank you!!! The graph

Question

Physics 1 (Simple Harmoic Motion) Please help, will rate. Thank you!!!

The graph shows data for three springs. The vertical axis shows the force applied while the horizontal axis shows the stretch of the spring in response to the force. (a) Given a numerical scale for each axis, how could you use the graph to determine the spring constant for each spring? (b) Which spring has the highest spring constant? a b c (c) Based on everyday observations of spring-like motion, if you were to place a 100 gram mass on the end of each spring (a through c) and stretch each spring the same amount and then release it, which spring do you think would oscillate at the highest rate? a b c

Explanation / Answer

F = kx

so slope of F versus x curve will be k.

slope = tan@ = k

where @ is the angle made by line with x axis.

b) Greater the angle, greater will be slope (tan@) and greater spring constant.

so a has hightest .

c) Rate of osscilating, frequency = f = sqrt(k / m) / 2pi

mass is same hence greater spring constant means higher rate.

Ans(a)

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