A force of magnitude $F_1$ acts on a particle so as to accelerate it from rest to a velocity $v$. The force $F_1$ is then replaced by another force of magnitude $F_2$ which decelerates it to rest.

In the given figure, what is the reading of the spring balance?

Two blocks of masses $M_1$ and $M_2$ are connected to each other through a light spring as shown in figure. If we push mass $M_1$ with force $F$ and cause acceleration $a_1$ in right direction. What will be the magnitude of acceleration in $M_2$?

A massless spring balance is attached to $2 \mathrm{kg}$ trolley and is used to pull the trolley along a flat surface as shown in the figure. The reading on the spring balance remains at $10 \mathrm{kg}$ during the motion. The acceleration of the trolley is (use $g=9.8 \mathrm{m} {\mathrm{s}}^{–2}$)

The ratio of the weight of a man in a stationary lift & when it is moving downward with uniform acceleration $a$ is $3:2$ . The value of $a$ is ($g=$acceleration due to gravity)

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

In the arrangement shown in the figure all surfaces are frictionless, pulley and string are light. The masses of the block are $m_1=20 \mathrm{kg}$ and $m_2=30 \mathrm{kg}$. The accelerations of masses $m_1$ and $m_2$ will be if $F=180 \mathrm{N}$ is applied according to figure.

Three masses of $1 \mathrm{kg}, 6 \mathrm{kg}$ and $3 \mathrm{kg}$ are connected to each other with threads and are placed on table as shown in figure. What is the acceleration with which the system is moving? Take $g=10 \mathrm{m} {\mathrm{s}}^{–2}$.