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ohaa [14]
2 years ago
6

A force of 10 N causes a spring to extend by 20 mm. Find: a) the spring constant of the spring in N/m​

Physics
1 answer:
Mars2501 [29]2 years ago
6 0

Answer:

formula used K=F/∆l

∆l is the elongation of the spring

  1. F=10N
  2. ∆l=20mm===> 0.02m
  3. K=10N divided 0.02m= 500N/m
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Answer:

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Explanation:

The restoring force is given by,

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According to Newton's second law of motion,

ma = -kx

ma + kx = 0

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T =\frac{2\pi }{\omega }

Where \omega is the angular velocity and it is given by,

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Now if the spring constant is doubled then,

k_{2} = 2k

Thus,

T_{2} =\frac{2\pi }{\sqrt{\frac{2k}{m} } }

\frac{T_{2} }{T} = \frac{\frac{2\pi }{\sqrt{\frac{2k}{m} } }}{\frac{2\pi }{\sqrt{\frac{k}{m} } }}

\frac{T_{2} }{T} = \sqrt{\frac{k}{2k} } = \sqrt{\frac{1}{2} }

T_{2} = \frac{T}{\sqrt{2} }

Thus, The period would decrease by sqrt(2).

Hence, option D is correct.

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3 years ago
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Answer:

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