(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A block of mass m = 0.677 kg is fastened to an unstrained horizontal spring whose spring constant is k = 88.6 N/m. The block is given a displacement of +0.170 m, where the + sign indicates that the displacement is along the +x axis, and then released from rest. (a) What is the force (with sign) that the spring exerts on the block just before the block is released? (b) Find the angular frequency of the resulting oscillatory motion. (c) What is the maximum speed of the block? (d) Determine the magnitude of the maximum acceleration of the block.

2. Relevant equations

(a) F(applied) = kx

(b) angular freq = sq rt(k/m)

(c) (1/2)kx^2 = (1/2) mv^2

(d)a = m/(kx)

3. The attempt at a solution

(a) F = 88.6 n/m * 0.170 m = +15.062 N

(b) I got 11.4399 rad/s which was correct

(c) I got 1.944 m/s which was correct

(d) a = 0.677 kg / (88.6 N/m * 0.170 m) = 0.044948

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