An unloaded bus can be stopped by applying brakes on straight road after covering a distance $x$. Suppose, the passenger add $50 \%$ of its weight as the load and the braking force remains unchanged, how far will the bus go after the application of the brakes? (Velocity of bus in both case is same)

A point particle of mass, moves along the uniformly rough track $PQR$ as shown in the figure. The coefficient of friction, between the particle and the rough track equals $\mu$. The particle is released, from rest, from the point $P$ and it comes to rest at a point $R$. The energies, lost by the ball, over the parts, $PQ$ and $PR$, of the track, are equal to each other, and no energy is lost when particle changes direction from $PQ$ to $QR$. The values of the coefficient of friction $\mu$ and the distance $x(=QR)$ are, respecitvely close to

$A$ block of mass $m$ slides down a plane inclined at an angle $\theta$ . Which of the following will $NOT$ increase the energy lost by the block due to friction?

A particle experiences a variable force $\overrightarrow{ F }=\left(4 x \hat{ i }+3 y ^{2} \hat{ j }\right)$ in a horizontal $x - y$ plane. Assume distance in meters and force is newton. If the particle moves from point $(1,2)$ to point $(2,3)$ in the $x-y$ plane, the Kinetic Energy changes by............$j$

A body of mass $5\,kg$ rests on a rough horizontal surface of coefficient of friction $0.2.$ The body is pulled through a distance of $10\,m$ by a horizontal force of $25\, N$. The kinetic energy acquired by it is ......... $J$

A stone with weight $w$ is thrown vertically upward into the air from ground level with initial speed $v_0$. If a constant force $f$ due to air drag acts on the stone throughout its flight. The maximum height attained by the stone is