When a lift is moving upward with acceleration of $5 \mathrm{m} {\mathrm{s}}^{-2}$ then percentage change in the weight of the person in the lift is $x\%.$ If the lift is moving down with acceleration $5 \mathrm{m} {\mathrm{s}}^{-2}$ then percentage change in the weight of same person is $y\%.$ Then the ratio $\frac{x}{y}$ is $\left(g=10 \mathrm{m} {\mathrm{s}}^{-2}\right)$

Force is applied on an object of mass $2 \mathrm{kg}$ at rest on a frictionless horizontal surface as shown in the graph. The speed of object at $t=1 \mathrm{s}$ will be

A block of mass $5 \mathrm{kg}$ is placed on a smooth table and tied from both ends by two masses $3 \mathrm{kg}$ and $2 \mathrm{kg}$ by means of light, inextensible strings passing through pulleys as shown. The tension in the string connecting $5 \mathrm{kg}$ and $3 \mathrm{kg}$ is $\left(g=10 \mathrm{m} {\mathrm{s}}^{-2}\right)$

A block is placed on a smooth inclined plane as shown. For what value of horizontal force $F,$ the block will remain at rest?

Figure shows a small ball of mass $m$ held at rest by means of two light and inextensible strings. The tensions in the inclined string at the instant shown and just after cutting the horizontal string are respectively

In the arrangement shown, what is the normal reaction between the block $A$ (mass $=5 \mathrm{kg}$ ) and ground?

Find the ratio of the extension in upper spring to lower spring.

The system shown below is in equilibrium. Find the acceleration of block $m_1,$ immediately after spring $k_2$ is cut.