Question
A 3 kg block is attached to a horizontal spring with a force constant of 10 N/m. If the maximum speed of the block is 4 m/s, what is the amplitude of the block?(A) 0.55 m(B) 1.1 m(C) 2.2 m(D) 4.4 m
Step 1
The formula for angular frequency is given by: \[ω = \sqrt{\frac{k}{m}}\] where k is the spring constant and m is the mass of the block. Show more…
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A block with mass m = 0.300 kg is attached to one end of an ideal spring and moves on a horizontal frictionless surface. The other end of the spring is attached to a wall. When the block is at x = +0.240 m, its acceleration is ax = -12.0 m/s2 and its velocity is vx = +4.00 m/s. What are (a) the spring’s force constant k; (b) the amplitude of the motion; (c) the maximum speed of the block during its motion; and (d) the maximum magnitude of the block’s acceleration during its motion?
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