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Energy Conservation in Oscillatory Motion

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A 10.0 g bullet embeds itself in a 0.500 kg block, which is attached to a spring of force constant 36.0 N/m. If the maximum compression of the spring is 1.50 cm, find

(a) the initial speed of the bullet and
(b) the time for the bullet-block system to come to rest.

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Solution Summary

The expert examines energy conservation in oscillatory motions. The initial speed of the bullet and bullet-block systems are determined. With full calculations, explanation and a diagram, the problem is solved.

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A 10.0 g bullet embeds itself in a 0.500 kg block, which is attached to a spring of force constant 36.0 N/m. If the maximum compression of the spring is 1.50 cm, find (a) the initial speed of the bullet and (b) the time for the bullet-block system to come to rest.

Solution. We can compute their common speed after a 10.0 g bullet embeds itself in a 0.500 kg block , say V. Denote the initial speed of the bullet by . ...

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  • BSc , Wuhan Univ. China
  • MA, Shandong Univ.
Recent Feedback
  • "Your solution, looks excellent. I recognize things from previous chapters. I have seen the standard deviation formula you used to get 5.154. I do understand the Central Limit Theorem needs the sample size (n) to be greater than 30, we have 100. I do understand the sample mean(s) of the population will follow a normal distribution, and that CLT states the sample mean of population is the population (mean), we have 143.74. But when and WHY do we use the standard deviation formula where you got 5.154. WHEN & Why use standard deviation of the sample mean. I don't understand, why don't we simply use the "100" I understand that standard deviation is the square root of variance. I do understand that the variance is the square of the differences of each sample data value minus the mean. But somehow, why not use 100, why use standard deviation of sample mean? Please help explain."
  • "excellent work"
  • "Thank you so much for all of your help!!! I will be posting another assignment. Please let me know (once posted), if the credits I'm offering is enough or you ! Thanks again!"
  • "Thank you"
  • "Thank you very much for your valuable time and assistance!"
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