A 2-kg mass stretches a spring 3 cm. How far does the spring stretch when it supports 6 kg? (Assume the spring has not reached its elastic limit.)
The stretch in spring.
Answer to Problem 12A
The extension produced by 6 kg weight is
Explanation of Solution
Given:
Mass attached to spring is 2kg
Stretch in spring is 3cm
New mass attached is 6 kg.
Formula used:
Hook's law states that when a deforming force is applied on an object within elastic limits then extension/compression produced in the object is directly proportional to deforming force applied on the object.
Here,
Calculation:
A two kilogram mass attached to the spring and it stretches the spring
Convert the extension from
The force acting on the spring is,
Rearrange the equation for Hook's law for
Substitute
When 6 kg mass attached to the spring, then stretch in the spring will be calculated by substituting
Conclusion:
Therefore, the extension produced by 6 kg weight is
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