A mass m =55 g is suspended, hanging vertically from a light spring with constant k =32 N.m  −1  . In mechanical equilibrium, the height of the mass above the bench is H = 25 \text{ mm}H=25 mm. It is then moved downwards to height h =17 mm and released from rest. What is the magnitude of its initial acceleration? (Hint: There are at least two steps in this problem. Think carefully, don't guess, and make sure that you can justify

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A mass m =55 g is suspended, hanging vertically from a light spring with constant k =32 N.m 
−1
 . In mechanical equilibrium, the height of the mass above the bench is H = 25 \text{ mm}H=25 mm. It is then moved downwards to height h =17 mm and released from rest. What is the magnitude of its initial acceleration? (Hint: There are at least two steps in this problem. Think carefully, don't guess, and make sure that you can justify your answer. This is really one for drawing a diagram and writing the whole solution, carefully.)

k
Imin
[mm]
k
[mm]
A slider of mass m is on a horizontal air track, so we'll ignore friction. It is attached to a horizontal light spring
with constant k. The spring is stretched horizontally by initial deformation x (middle picture) and held stationary.
When it is released from the hand (bottom picture), what is the magnitude of its initial acceleration?
Combine your answer from the following elements: m, k, x, g, * and / and/or a number, if needed. If you need to
multiply variables in your expression for the initial acceleration please use an * to indicate "multiply by". Do not
use parentheses
Preview will appear here...
Enter math expression here
Transcribed Image Text:k Imin [mm] k [mm] A slider of mass m is on a horizontal air track, so we'll ignore friction. It is attached to a horizontal light spring with constant k. The spring is stretched horizontally by initial deformation x (middle picture) and held stationary. When it is released from the hand (bottom picture), what is the magnitude of its initial acceleration? Combine your answer from the following elements: m, k, x, g, * and / and/or a number, if needed. If you need to multiply variables in your expression for the initial acceleration please use an * to indicate "multiply by". Do not use parentheses Preview will appear here... Enter math expression here
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