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irinina [24]
3 years ago
12

A 0.50-kg box is attached to an ideal spring of force constant (spring constant) 20 N/m on a horizontal, frictionless floor. The

box oscillates in simple harmonic motion and has a speed of 1.5 m/s at the equilibrium position. (a) What is the amplitude of vibration
Physics
1 answer:
zhannawk [14.2K]3 years ago
3 0

Answer:

A = 0.24 m

Explanation:

As we know that for spring block system the angular frequency is given as

\omega = \sqrt{\frac{k}{m}}

now we know that

k = 20 N/m

also we know that

m = 0.50 kg

so we have

\omega = \sqrt{\frac{20}{0.5}}

\omega = 6.32 rad/s

now we know that speed of an SHM at its equilibrium position is given as

v = A\omega

now plug in all values in it

1.5 = A(6.32)

A = 0.24 m

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<span>= 1.77 or 1.8 m.
</span>
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