(C) Case $(a)$: When stretched by the same amount $x$,the work done is $W = \frac{1}{2} K x^2$. Since $K_P > K_Q$ and $x$ is the same,$W_P = \frac{1}{

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(C) Case $(a)$: When stretched by the same amount $x$,the work done is $W = \frac{1}{2} K x^2$. Since $K_P > K_Q$ and $x$ is the same,$W_P = \frac{1}{2} K_P x^2$ and $W_Q = \frac{1}{2} K_Q x^2$. Therefore,$W_P > W_Q$.Case $(b)$: When stretched by the same force $F$,the work done is $W = \frac{F^2}{2K}$. Since $K_P > K_Q$ and $F$ is the same,$W_P = \frac{F^2}{2K_P}$ and $W_Q = \frac{F^2}{2K_Q}$. Since $K_P > K_Q$,it follows that $\frac{1}{K_P} W_P$.

Class 11 Physics Work, Energy and Power Work Done by Spring and Potential Energy of Spring

Medium

Two similar springs $P$ and $Q$ have spring constants $K_P$ and $K_Q$,such that $K_P > K_Q$. They are stretched first by the same amount (case $a$),then by the same force (case $b$). The work done by the springs $W_P$ and $W_Q$ are related as,in case $(a)$ and case $(b)$ respectively:

AIPMT 2015 All AIPMT

A
$W_P > W_Q, W_P < W_Q$
B
$W_P = W_Q, W_P = W_Q$
C
$W_P > W_Q, W_Q > W_P$
D
$W_P < W_Q, W_Q < W_P$

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Work, Energy and Power

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Work Done by Spring and Potential Energy of Spring

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Two similar springs $P$ and $Q$ have spring constants $K_P$ and $K_Q$,such that $K_P > K_Q$. They are stretched first by the same amount (case $a$),then by the same force (case $b$). The work done by the springs $W_P$ and $W_Q$ are related as,in case $(a)$ and case $(b)$ respectively:

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What is the work done by a spring force in a cyclic process?

$A$ block of mass $m$ initially at rest is dropped from a height $h$ onto a spring of force constant $k$. If the maximum compression in the spring is $x$,then:

Find the maximum tension in the spring if the spring is initially at its natural length when the block of mass $m$ is released from rest.

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