A bock is sliding along smooth incline as shown in figure. If the acceleration of chamber is a as shown in the figure. The time required to cover a distance
$L$ along the incline is:

Two wooden blocks are moving on a smooth horizontal surface such that the block having mass $m$ remains stationary with respect to block of mass $M$ as shown in the figure below. The magnitude of the applied force $P$ is, 

In the shown figure, the trolley move with constant acceleration $a$ and the string connecting the masses $m_1$ and $m_2.$

Make constant angles ${\theta }_1$ and ${\theta }_2.$ If$m_1=m_2=m,$ then

A wedge of mass $M$ is placed on a horizontal smooth surface. A block of mass $m$ is placed on the smooth wedge and it is pulled by a contact force $F$ with the help of a string passing over an ideal pulley. $m$ is not sliding on the wedge and both $\mathrm{m}$ and $M$ are moving with the same acceleration. (Given $M>\sqrt{2} m, g$ is acceleration due to gravity). Mark the CORRECT option(s).

Figure shows two identical blocks of mass $\mathrm{m}$ kept on a smooth floor. Block $A$ is connected to front wall with a just straight string and block $B$ is connected to rear wall with a relaxed spring. Assume that the floor of the train car is smooth and exerts no horizontal forces on the block. Mark the correct statement (s). Initially train is moving with constant speed.

A block of mass $1 \mathrm{kg}$ is at rest relative to a smooth wedge moving leftwards with constant acceleration $\mathrm{a}=5 \mathrm{m} {\mathrm{s}}^{-2}$. Let $N$ be the normal reaction between the block and the wedge. Then $(\mathrm{g}=10 \mathrm{m} {\mathrm{s}}^{-2})$

Assertion: A body, whatever its motion is always at rest in a reference frame that is fixed to the body itself.

Reason: The relative velocity of a body with respect to itself is always zero.