(33%) Problem 2: Suppose you attach an object with mass m to a the end of a vert
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(33%) Problem 2: Suppose you attach an object with mass m to a the end of a vertically hanging sp ng ongi ally at rest and let it bounce up and down. You release the object from rest at the spring's original rest length. atus or 50% Part (a) pletedmeters. al pleted If the spring has a force constant of 8.5 Nm and the mass of the obect is 0.45 kg, find the amplitude of the oscillations, in A-0.49 X Attempts Remain 50% Part (b) Find the maximum velocity of the mass, in meters per second Grade Summary 100% sino l coso I tano ( 7-19 Amesepts remaning 4 5 6 cotanO asin acos0 atanO acotan sinh coshO tan0 cotanh0 + Gll per attemp detailed vire Degrees Radians Submit Hint t give upl Feedback: 0deduction per feedbaclk Hints: deduction per hint Hints remaining 0Explanation / Answer
a) F = k x
m g = k x
x = m g / k
= (0.45 * 9.8) / (8.5)
Amplitude = 0.519 m
b) maximum velocity = w A = sqrt [k/m] * A
= sqrt [8.5/0.45] * 0.519
maximum velocity = 2.25 m/s
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