physics
posted by Anonymous .
A block of mass m=.75kg is fastened to an unstrained horizontal springwhose spring constant is 82 N/m. The block is given a displacement of +.12m, where + sign indicates that the displacement is along the +x axis, and then released from rest.
Find the angular frequency w of the resulting oscillatory motion.
For this question, I got 10.646. Is this correct?
What is the maximum speed of the block?
Would I need to find the amplitude to multiply by w to get the maximum speed? If that's the case, how would I find the amplitude?
Thank you!

The angular frequency w is sqrt (k/m). sqrt (82/.75) = 10.456 sec^1
The maximum speed V can be obtained from the stored potential energy is the spring before release.
(1/2) k X^2 = (1/2) m V^2
V = sqrt (k/m) X = w X
where X is the 0.12 m displacement
Respond to this Question
Similar Questions

physics
A block of ice of mass 4.10 kg is placed against a horizontal spring that has force constant k = 210 N/m and is compressed a distance 2.60×10−2 m. The spring is released and accelerates the block along a horizontal surface. … 
Physics
A 2.60kg block is attached to a horizontal spring that has a spring constant of 160. N/m. At the instant when the displacement of the spring from its unstrained length is 0.115 m, what is the acceleration a of the object? 
Physics
A 2.60kg block is attached to a horizontal spring that has a spring constant of 203 N/m. At the instant when the displacement of the spring from its unstrained length is 0.115 m, what is the acceleration a of the object? 
phyics
A block of mass m = 0.510 kg is fastened to an unstrained horizontal spring whose spring constant is k = 85.3 N/m. The block is given a displacement of +0.112 m, where the + sign indicates that the displacement is along the +x axis, … 
Physics
A 4.07 x 102kg block is resting on a horizontal frictionless surface and is attached to a horizontal spring whose spring constant is 144 N/m. The block is shoved parallel to the spring axis and is given an initial speed of 10.5 m/s, … 
Physics
A 4.07 x 102kg block is resting on a horizontal frictionless surface and is attached to a horizontal spring whose spring constant is 144 N/m. The block is shoved parallel to the spring axis and is given an initial speed of 10.5 m/s, … 
physics
A block of mass m = 0.605 kg is fastened to an unstrained horizontal spring whose spring constant is k = 67.5 N/m. The block is given a displacement of +0.120 m, where the + sign indicates that the displacement is along the +x axis, … 
PHYSICS
A block of mass m = 0.889 kg is fastened to an unstrained horizontal spring whose spring constant is k = 89.4 N/m. The block is given a displacement of +0.128 m, where the + sign indicates that the displacement is along the +x axis, … 
Physics
A 4.05 x 102kg block is resting on a horizontal frictionless surface and is attached to a horizontal spring whose spring constant is 121 N/m. The block is shoved parallel to the spring axis and is given an initial speed of 8.65 m/s, … 
College Physic
A 1.54 x 102kg block is resting on a horizontal frictionless surface and is attached to a horizontal spring whose spring constant is 129 N/m. The block is shoved parallel to the spring axis and is given an initial speed of 8.84 …