Work, Energy and Power

A block of mass $M$ lies at rest connected to a massless spring of spring constant $k$ on a frictionless surface. A bullet of mass $m$ hits the block horizontally with speed $v$ as shown in the figure and is completely stuck to the block. W...

A cart of mass $M$ is released from $A$, the highest point of a frictionless track, as shown in the figure. The cart travels along the track and enters the semicircular arc $D B C$ of radius $R$. The heights of the points $A$ and $B$ are $h...

An object is released from rest from the inner edge of a hemispherical bowl, and it falls under gravity. The coefficient of kinetic friction between the object and the bowl is $\mu$. If the object covers an angular displacement $\theta$ wit...

The potential energy of a point particle of mass $m$ undergoing rectilinear motion along the $x$-axis is given by
\(V(x)=A x+B x^2\)
What is the maximum speed attained by the particle if it starts from rest at $x=\frac{A}{B}$ ?