A rocket of mass $5700 \mathrm{kg}$ ejects mass at a constant rate of $15 \mathrm{kg} {\mathrm{s}}^{-1}$ with constant speed of $12 \mathrm{km} {\mathrm{s}}^{-1}.$ The acceleration of the rocket $1$ minute after the blast is $\left(\mathrm{g}=10 \mathrm{m} {\mathrm{s}}^{-2}\right)$

The momentum $\mathrm{P}$ of an object varies with time $\left(\mathrm{t}\right)$ as shown in figure. The corresponding force $\left(\mathrm{F}\right)$-time $\left(\mathrm{t}\right)$ graph is

A block of $10 \mathrm{kg}$ mass is placed on a rough inclined surface as shown in figure. The acceleration of the block will be

A block (mass $=M \mathrm{kg}$) is placed on a rough inclined plane. A force $F$ is applied parallel to the inclined (as shown in figure) such that it just starts moving upward. The value of $F$ is

Figure shows two block system, $4 \mathrm{kg}$ blōck rešts on a smooth horizontal surface, upper surface of $4 \mathrm{kg}$ is rough. A block of mass $2 \mathrm{kg}$ is placed on its upper surface. The acceleration of upper block with respect to earth when $4 \mathrm{kg}$ mass is pulled by a force of $30 \mathrm{N}$, is