A spring stretches 0.1 m when a force of 10 N is applied. What is the spring con
Practice Questions
Q1
A spring stretches 0.1 m when a force of 10 N is applied. What is the spring constant?
100 N/m
50 N/m
200 N/m
10 N/m
Questions & Step-by-Step Solutions
A spring stretches 0.1 m when a force of 10 N is applied. What is the spring constant?
Step 1: Understand that Hooke's Law states that the force (F) applied to a spring is equal to the spring constant (k) multiplied by the stretch (x) of the spring.
Step 2: Write down the formula from Hooke's Law: F = kx.
Step 3: Rearrange the formula to solve for the spring constant (k): k = F/x.
Step 4: Identify the values given in the problem: the force (F) is 10 N and the stretch (x) is 0.1 m.
Step 5: Substitute the values into the rearranged formula: k = 10 N / 0.1 m.
Step 6: Perform the division: 10 N divided by 0.1 m equals 100 N/m.
Step 7: Conclude that the spring constant (k) is 100 N/m.
Hooke's Law – Hooke's Law states that the force exerted by a spring is directly proportional to the amount 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.
