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Gala2k [10]
3 years ago
8

A 0.20-kg block rests on a frictionless level surface and is attached to a horizontally aligned spring with a spring constant of

40 N/m. The block is initially displaced 4.0 cm from the equilibrium point and then released to set up a simple harmonic motion. What is the speed of the block when it passes through the equilibrium point?
Physics
1 answer:
solmaris [256]3 years ago
6 0

Answer:

0.57 ms^{-1}

Explanation:

k = spring constant of the spring = 40 Nm⁻¹

A = amplitude of the simple harmonic motion = 4 cm = 0.04 m

m = mass of the block attached to spring = 0.20 kg

w = angular frequency of the simple harmonic motion

Angular frequency of the simple harmonic motion is given as w = \sqrt{\frac{k}{m} } \\w = \sqrt{\frac{40}{0.20} }\\w = 14.14 rads^{-1}

v = Speed of the block as it pass the equilibrium point

Speed of the block as it pass the equilibrium point is given as

v = A w\\v = (0.04) (14.14)\\v = 0.57 ms^{-1}

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