A car accelerates on a horizontal road due to the forces exerted by

$A$ particle of mass m is constrained to move on $x$ -axis. $A$ force $F$ acts on the particle. $F$ always points toward the position labeled $E$. For example, when the particle is to the left of $E, F$ points to the right. The magnitude of $F$ is a constant $F$ except at point $E$ where it is zero. The system is horizontal. $F$ is the net force acting on the particle. The particle is displaced a distance $A$ towards left from the equilibrium position $E$ and released from rest at $t = 0.$ Velocity - time graph of the particle is

When milk is churned, cream gets separated due to

A balloon of mass $M$ is descending at a constant acceleration $\alpha $. When a mass $m$ is released from the balloon it starts rising with the same acceleration $\alpha $. Assuming that its volume does not change, what is the value of $m$ ?

In order to test the strength of a rope, one end is tied to a large tree and the other end is  hitched to a team of $2$ horses. The horse pull as hard as they can, but cannot break the  rope. If the rope is untied from the tree and attached to another team of $2$ horses  with equal strength, and the two teams pull in opposite directions, the tension in the rope  will

What will be the acceleration of blocks and tension in the string connecting the blocks $2\,kg$ and $5\,kg$ for the given figure :-