Solution Found!
?A spring has natural length \(20 cm\). Compare the work \(W_{1}\) done in stretching
Chapter 5, Problem 11(choose chapter or problem)
A spring has natural length \(20 cm\). Compare the work \(W_{1}\) done in stretching the spring from \(20 cm\) to \(30 cm\) with the work \(W_{2}\) done in stretching it from \(30 cm\) to \(40 cm\). How are \(W_{2}\) and \(W_{1}\) related?
Equation Transcription:
Text Transcription:
20 cm
W_1
30 cm
W_2
40 cm
Questions & Answers
QUESTION:
A spring has natural length \(20 cm\). Compare the work \(W_{1}\) done in stretching the spring from \(20 cm\) to \(30 cm\) with the work \(W_{2}\) done in stretching it from \(30 cm\) to \(40 cm\). How are \(W_{2}\) and \(W_{1}\) related?
Equation Transcription:
Text Transcription:
20 cm
W_1
30 cm
W_2
40 cm
ANSWER:
Step 1 of 4
From Hooke’s law we have,
Where, x is the distance from the natural position of the spring, which is length.
The work done by the force on the object is given by,