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  • Maximum velocity  2 m/s and mass  16 Kg. The collar is displaced from its equilibrium position by  40 cm. find the spring constant  <div class='q

Maximum velocity  2 m/s and mass  16 Kg. The collar is displaced from its equilibrium position by  40 cm. find the spring constant


 

Option: 1

400 N/m


Option: 2

500 N/m


Option: 3

300 N/m


Option: 4

200 N/m


Answers (1)

best_answer

V_{\max }=\mathrm{Aw} \\

2=\frac{40}{100} \times \sqrt{\frac{K}{m}} \\

2=\frac{40}{100} \times \sqrt{\frac{K}{16}} \\

2=\frac{40}{100} \times \frac{\sqrt{K}}{\sqrt{16}} \\

2=\frac{40}{100} \times \frac{\sqrt{K}}{4} \\

20=\sqrt{K} \\

K=(20)^2 \\

K=20 \times 20 \\

K=400 \mathrm{~N} / \mathrm{m}

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vinayak

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