A spring has a spring constant of 200 N/m. How much force is required to stretch

Practice Questions

Q1
A spring has a spring constant of 200 N/m. How much force is required to stretch the spring by 0.1 m?
  1. 5 N
  2. 10 N
  3. 15 N
  4. 20 N

Questions & Step-by-Step Solutions

A spring has a spring constant of 200 N/m. How much force is required to stretch the spring by 0.1 m?
  • Step 1: Identify the spring constant (k). In this case, k = 200 N/m.
  • Step 2: Identify the amount the spring is stretched (x). Here, x = 0.1 m.
  • Step 3: Use Hooke's law formula, which is F = k * x.
  • Step 4: Substitute the values into the formula: F = 200 N/m * 0.1 m.
  • Step 5: Calculate the force: F = 20 N.
  • Hooke's Law – Hooke's Law states that the force required to stretch or compress a spring is directly proportional to the distance it is stretched or compressed, represented by the formula F = kx, where F is the force, k is the spring constant, and x is the displacement.
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