An 8.00 kg block is placed on a rough horizontal surface and connected to a spring of spring...

Question:

An 8.00 kg block is placed on a rough horizontal surface and connected to a spring of spring constant 100 N/m. The spring is then stretched by some distance A and released. The block will begin to oscillate back and forth across the surface. As the block passes through the equilibrium position, it is measured to have a velocity of 5 m/s. The coefficient of kinetic friction between the block and the surface is measured to be 0.250 and the coefficient of static friction between the block and the surface is measured to be 0.300.

a) What was the initial displacement of the mass?

b) What is the new displacement of the mass when the spring is fully compressed for the first time?

c) What will be the velocity of the mass as it passes through the origin for the 2nd time?

Displacement:

The restoring force stored in a material is responsible for the displacement of the body. The magnitude of displacement reduces if there is friction in the motion of the object. Kinetic friction is less than static friction.

Answer and Explanation:

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Given data:

  • The mass of the block placed in the rough surface is {eq}m = 8\;{\rm{kg}}{/eq}.
  • The spring constant of the spring 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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