A spring has a spring constant of 5N/cm. What is its extension when loaded with 15N?2 marks4cm5cm3m3cm
Question
A spring has a spring constant of 5N/cm.
What is its extension when loaded with 15N?
Options:
- 2 marks
- 4cm
- 5cm
- 3m
- 3cm
Solution
The extension of the spring can be calculated using Hooke's Law, which states that the force (F) exerted by a spring is equal to the product of the spring constant (k) and the extension (x) of the spring. This can be written as:
F = k * x
We can rearrange this equation to solve for the extension (x):
x = F / k
Given that the spring constant (k) is 5 N/cm and the force (F) is 15 N, we can substitute these values into the equation:
x = 15 N / 5 N/cm = 3 cm
So, the extension of the spring when loaded with 15 N is 3 cm.
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