An object of mass ' $m$ ' initially at rest on a smooth horizontal plane starts moving under the action of force $F=2 N$. In the process of its linear motion, the angle $\theta$ (as shown in figure) between the direction of force and horizontal varies as $\theta= kx$, where $k$ is a constant and $x$ is the distance covered by the object from its initial position. The expression of kinetic energy of the object will be $E =\frac{ n }{ k } \sin \theta$. The value of $n$ is $…..$

A cylinder of $10 \,kg$ is sliding in a plane with an initial velocity of $10 \,m/s$. If the coefficient of friction between the surface and cylinder is $0.5$ then before stopping, it will cover. $(g = 10\,\,m/{s^2})$ …….. $m$

Is kinetic energy a scalar quantity or vector quantity ?

A stationary particle breaks into two parts of masses $m_A$ and $m_B$ which move with velocities $v_A$ and $V_B$ respectively. The ratio of their kinetic energies $\left(\mathrm{K}_B: \mathrm{K}_{\mathrm{A}}\right)$ is :