(D) When two springs are connected in series,the same stretching force $f$ acts on both springs.The extension in the first spring is $e_1 = \frac{f}{K

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$f(\frac{1}{K_1} + \frac{1}{K_2})$

(D) When two springs are connected in series,the same stretching force $f$ acts on both springs.The extension in the first spring is $e_1 = \frac{f}{K_1}$.The extension in the second spring is $e_2 = \frac{f}{K_2}$.The total extension $x$ produced in the system is the sum of the individual extensions:$x = e_1 + e_2$Substituting the values of $e_1$ and $e_2$:$x = \frac{f}{K_1} + \frac{f}{K_2}$Factoring out the force $f$:$x = f \left( \frac{1}{K_1} + \frac{1}{K_2} \right)$.

Class 11 Physics Newton's Laws of Motion and Friction Spring Force

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Two massless springs of spring constant $K_1$ and $K_2$ are connected in series,suspended vertically,and a certain mass is attached to the free end. If $e_1$ and $e_2$ are their respective extensions and $f$ is the stretching force,the total extension produced is:

MHT CET 2022 All MHT CET

A
$f(K_1 - K_2)$
B
$f(\frac{1}{K_1} - \frac{1}{K_2})$
C
$f(K_1 + K_2)$
D
$f(\frac{1}{K_1} + \frac{1}{K_2})$

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Newton's Laws of Motion and Friction

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Two massless springs of spring constant $K_1$ and $K_2$ are connected in series,suspended vertically,and a certain mass is attached to the free end. If $e_1$ and $e_2$ are their respective extensions and $f$ is the stretching force,the total extension produced is:

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Two blocks $A$ and $B$ of masses $3\,m$ and $m$ respectively are connected by a massless and inextensible string. The whole system is suspended by a massless spring as shown in the figure. The magnitudes of acceleration of $A$ and $B$ immediately after the string is cut are respectively:

What is the acceleration of $3 \,kg$ mass when the acceleration of $2 \,kg$ mass is $2 \,m/s^2$ as shown in the figure? (in $m/s^2$)

Two springs $A$ and $B$ having spring constants $K_{A}$ and $K_{B}$ $(K_{A} = 2 K_{B})$ are stretched by applying forces of equal magnitude. If the energy stored in spring $A$ is $E_{A}$,then the energy stored in spring $B$ will be:

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