Question: A spring has a spring constant of 200 N/m. How much force is required to stretch the spring by 0.1 m?
Options:
5 N
10 N
15 N
20 N
Correct Answer: 5 N
Solution:
Using Hooke\'s law, F = kx = 200 N/m * 0.1 m = 20 N.
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?
5 N
10 N
15 N
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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