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A 3 kg mass is attached to a spring with a spring constant of 200 N/m. What is t

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Question: A 3 kg mass is attached to a spring with a spring constant of 200 N/m. What is the maximum force exerted by the spring when stretched?

Options:

  1. 100 N
  2. 200 N
  3. 300 N
  4. 600 N

Correct Answer: 200 N

Solution: 

The maximum force exerted by the spring is F = kx. Assuming maximum stretch x = 1 m, F = 200 N/m * 1 m = 200 N.

A 3 kg mass is attached to a spring with a spring constant of 200 N/m. What is t

Practice Questions

Q1
A 3 kg mass is attached to a spring with a spring constant of 200 N/m. What is the maximum force exerted by the spring when stretched?
  1. 100 N
  2. 200 N
  3. 300 N
  4. 600 N

Questions & Step-by-Step Solutions

A 3 kg mass is attached to a spring with a spring constant of 200 N/m. What is the maximum force exerted by the spring when stretched?
Correct Answer: 200 N
  • Step 1: Identify the spring constant (k). In this case, k = 200 N/m.
  • Step 2: Determine the maximum stretch (x) of the spring. Here, we assume x = 1 m.
  • Step 3: Use the formula for force exerted by the spring, which is F = k * x.
  • Step 4: Substitute the values into the formula: F = 200 N/m * 1 m.
  • Step 5: Calculate the force: F = 200 N.
  • Hooke's Law – The relationship between the force exerted by a spring and its displacement from the equilibrium position, expressed as F = kx, where F is the force, k is the spring constant, and x is the displacement.
  • Maximum Stretch – Understanding that the maximum force occurs at the maximum displacement of the spring.
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