A block with mass m = 7.4 kg is attached to two springs with spring constants k(left) = 31 N/m...

Question:

A block with mass m = 7.4 kg is attached to two springs with spring constants k(left) = 31 N/m and k(right) = 53 N/m. The block is pulled a distance x = 0.26 m to the left of its equilibrium position and released from rest. 1) What is the magnitude of the net force on the block (the moment it is released)? 2) What is the effective spring constant of the two springs? 3) What is the period of the oscillation of the block? 4) How long does it take the block to return to equilibrium for the first time?

Combination of springs:

For a block kept on horizontal floor, connected by a spring at left and a spring at right to the block, the effective spring constant is the addition of spring constants of both springs.

Answer and Explanation: 1

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Given:

  • mass of block m = 7.4 kg
  • spring constants k(left) = 31 N/m, and k(right) = 53 N/m
  • Amplitude of oscillation A = 0.26 m

(1) Using Hooke's Law,...

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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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