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Classical Mechanics

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Moderate

Force of Two Springs

CLMECH-GSNGRC

A mass, $m$, lies on a smooth surface connected between two identical springs with constant $k$. Initially, the springs are unstretched.

If the mass is moved $2\text{ cm}$ to the left and released, what is the initial acceleration of the mass due to the springs?

Take the spring constants to be $k=20\text{ N/m}$ and $m=3\text{ kg}$

What is the initial acceleration of the mass? Created for Albert.io. Copyright 2016. All rights reserved.

A

$0.53 \text{ m/s}^2$

B

$0.067\text{ m/s}^2$

C

$0.13\text{ m/s}^2$

D

$0.27 \text{ m/s}^2$