(B) Let $m_1 = 10\, kg$ and $m_2 = 20\, kg$. Let $f$ be the spring force acting on both masses.For the $10\, kg$ mass,the equation of motion is: $f =

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(B) Let $m_1 = 10\, kg$ and $m_2 = 20\, kg$. Let $f$ be the spring force acting on both masses.For the $10\, kg$ mass,the equation of motion is: $f = m_1 a_1$,where $a_1 = 12\, m\, s^{-2}$.Thus,$f = 10 \times 12 = 120\, N$.For the $20\, kg$ mass,the external force $F = 200\, N$ acts in the direction of motion,and the spring force $f$ acts in the opposite direction.The equation of motion is: $F - f = m_2 a_2$.Substituting the values: $200 - 120 = 20 \times a_2$.$80 = 20 \times a_2$.$a_2 = \frac{80}{20} = 4\, m\, s^{-2}$.

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

Medium

Two masses of $10\, kg$ and $20\, kg$ respectively are connected by a massless spring as shown in the figure. $A$ force of $200\, N$ acts on the $20\, kg$ mass. At the instant when the $10\, kg$ mass has an acceleration of $12\, m\, s^{-2}$,the acceleration of the $20\, kg$ mass is ...... $m\, s^{-2}$.

A
$2$
B
$4$
C
$10$
D
$20$

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Class 11 Questions

Class 11

Physics Questions

Chapter

Newton's Laws of Motion and Friction

Subtopic

Spring Force

To the free end of a spring hanging from a rigid support,a block of mass $m$ is hung and slowly allowed to come to its equilibrium position. Then the stretching in the spring is $d$. If the same block is attached to the same spring and allowed to fall suddenly,the amount of maximum stretching is: (force constant,$k$)

DifficultAP EAMCET 2006

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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 $m/s^2$)

Medium

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When a $1.0\,kg$ mass hangs attached to a spring of length $50\,cm$,the spring stretches by $2\,cm$. The mass is pulled down until the length of the spring becomes $60\,cm$. What is the amount of elastic energy stored in the spring in this condition,if $g = 10\,m/s^2$? (in $Joule$)

Medium

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$A$ force of $20\,dyne$ applied to the end of a spring increases its length by $1\,mm$. What will be the force constant of the spring?

Easy

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In the figure,blocks $A$ (mass $2m$) and $B$ (mass $m$) are connected with a string and the system is suspended vertically with the help of a spring. The spring has negligible mass. Find the magnitude of the acceleration of masses $2m$ and $m$ just after the instant when the string is cut.

MediumAIIMS 2018

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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 $m/s^2$)

When a $1.0\,kg$ mass hangs attached to a spring of length $50\,cm$,the spring stretches by $2\,cm$. The mass is pulled down until the length of the spring becomes $60\,cm$. What is the amount of elastic energy stored in the spring in this condition,if $g = 10\,m/s^2$? (in $Joule$)

$A$ force of $20\,dyne$ applied to the end of a spring increases its length by $1\,mm$. What will be the force constant of the spring?

In the figure,blocks $A$ (mass $2m$) and $B$ (mass $m$) are connected with a string and the system is suspended vertically with the help of a spring. The spring has negligible mass. Find the magnitude of the acceleration of masses $2m$ and $m$ just after the instant when the string is cut.

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