Two masses of $5\, kg$ and $10\, kg$ are connected to a pulley as shown. What will be the acceleration if the pulley is set free ($g =$ acceleration due to gravity)

A block of mass $m$, is kept on a wedge of mass $M$, as shown in figure such that mass $m$ remains stationary w.r.t. wedge. The magnitude of force $P$ is

A bomb of mass $1 \,kg$ initially at rest, explodes and breaks into three fragments of masses in the ratio $1: 1: 3$. The two pieces of equal mass fly off perpendicular to each other with a speed $15 \,m / s$ each. The speed of heavier fragment is ……….. $m / s$

A weight can be hung in any of the following four ways by string of same type. In which case is the string most likely to break?

Two masses of $1\, kg$ and $5\, kg$ are attached to the ends of a massless string passing over a pulley of negligible weight. The pulley itself is attached to a light spring balance as shown in figure. The masses start moving during this interval; the reading of spring balance will be