A body of mass $5 \mathrm{kg}$ is moving with velocity of $\overrightarrow{\mathrm{v}}=(2\hat{\mathrm{i}}+6\hat{\mathrm{j}})\mathrm{m} {\mathrm{s}}^{-1}$ at $t=0 \mathrm{s}.$ After time $t=2 \mathrm{s},$ velocity of body is $(10\hat{i}+6\hat{j})\mathrm{m} {\mathrm{s}}^{-1},$ then change in momentum of body is

A cart loaded with sand moving with velocity $v.$ Sand is falling through the hole as shown in diagram then after falling on the ground sand is

Two blocks of mass $2 \mathrm{kg}$ and $4 \mathrm{kg}$ are accelerated with same acceleration by a force $10 \mathrm{N}$ as shown in figure on smooth horizontal surface. then the spring force between the two blocks will be :

Three blocks of masses $m_1=4 \mathrm{kg}, m_2=2 \mathrm{kg}, m_3=4 \mathrm{kg}$ Are connected with ideal strings passing over a smooth, massless pulley as shown in figure. The acceleration of blocks will be $\left(g=10 \mathrm{m} {\mathrm{s}}^{-2}\right).$

The tension in the string connected between blocks is

Block $A$ of mass $4 \mathrm{kg}$ is to be kept at rest against a smooth vertical wall by applying a force $F$ as shown in figure. The force required is $\left(g=10 \mathrm{m} {\mathrm{s}}^{-2}\right)$

A block of mass $m$ as shown in figure is pulled by a force $40 N.$ The tension at the middle of the block is