Question

an unstretched spring has a length of .10 meters. when the spring is stretched by a force of 16n its length is increased to .18 meters. what is the spring constant of this spring?

Answer 1

The spring constant is 2 N/m. The result is obtained by using the Hooke's Law formula.

What is Hooke's Law formula?

The Hooke's Law states that the restoring force of a spring equals the spring constant times the change in length. It can be expressed as

F = -kΔx

Where

• F = the restoring force
• k = the spring constant
• Δx = the change in length

Note: the minus sign indicates that F is in the opposite direction to the displacement of a free end.

Given the length of a spring is 10 m. When it is stretched by a force of 16 N, the length is increased to 18 m. What is the spring constant?

From that information, we get the change in length.

Δx = 18 m - 10 m

Δx = 8 m

The spring constant is

F = -kΔx

16 = -k . 8

k = - (16/8)

k = 2 N/m

Hence, the spring constant is 2 N/m.

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