A mass M = 0.464 kg moves with an initial speed v = 2.98 m/s on a level frictionless air track....

Question:

A mass M = 0.464 kg moves with an initial speed v = 2.98 m/s on a level frictionless air track. The mass is initially a distance D = 0.250 m away from a spring with k = 844 N/m, which is mounted rigidly at one end of the air track. The mass compresses the spring a maximum distance d before reversing direction. After bouncing off the spring, the mass travels with the same speed v but in the opposite direction. Find the total elapsed time until the mass returns to its starting point. (Hint: The mass undergoes a partial cycle of simple harmonic motion while in contact with the spring.)

Spring Constant

Spring constant is a property of spring which relates to its stiffness. It is defined as the force needed for stretching the spring or compressing it to a specific limit. The magnitude of this constant is measured as a fraction of the force employed, and the displacement happened due to the effect of force. The SI unit for quantifying spring constant is Newton/meter.

Answer and Explanation:

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We are provided with the following information:

  • The value of mass is: {eq}M = 0.464\;{\rm{kg}} {/eq}.
  • The spring constant is: {eq}k =...

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Hooke's Law & the Spring Constant: Definition & Equation

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Chapter 4 / Lesson 19
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After watching this video, you will be able to explain what Hooke's Law is and use the equation for Hooke's Law to solve problems. A short quiz will follow.


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