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In the figure below, we must apply a force of magnitude 88 N to hold the block s

ID: 1285218 • Letter: I

Question

In the figure below, we must apply a force of magnitude 88 N to hold the block stationary at x = -2.0 cm. From that position we then slowly move the block so that our force does +3.2 3 of work on the spring-block system; the block Is then again stationary. What Is the block's position x? (There are two answers.) -5.6 Cm (least positive value) 5.6 cm (greatest positive value) The spring constant Is the ratio of the force magnitude to the stretch. Work by a spring force (which Is a variable force) Is equal to the Integration of the force from the initial position to the final position. It Is not equal to the product of force and displacement. Instead the Integration yields the difference In the term 0.5k12 between the Initial and final positions.

Explanation / Answer

Kx = 88

at X =.02 K = 4400

given KX2/2 = 3.2

X2 = 3.2*2/4400 = .001454

X = .0381m

values of distance = 1.81cm and -5.81cm