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A mass sitting on a horizontal, frictionless surface is attached to one end of a spring; the other end is fixed to a wall.3.0 J of work is required to

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asked 2021-01-08
A mass sitting on a horizontal, frictionless surface is attached to one end of a spring; the other end is fixed to a wall.3.0 J of work is required to compress the spring by 0.12 m. If the mass is released s from rest with the spring compressed, it experiences a maximum acceleration of 15 \(\displaystyle\frac{{m}}{{s}^{{2}}}\). Find the value of (a) the spring constant and(b) the mass.

Answers (1)

2021-01-09
\(\displaystyle{F}={m}{a}\)
\(\displaystyle{k}{x}={m}{a}\)
\(\displaystyle{m}={\frac{{{k}{x}}}{{{a}}}}={\frac{{{\left({416.67}\right)}{\left({0.12}\right)}}}{{{15}}}}={3.33}\)
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