A road is $10\, m$ wide. Its radius of curvature is $50\, m$. The outer edge is above the lower edge by a distance of $1.5\, m$. this road is most suited for the velocity ........ $m/s$

Two masses $m_1 = 5\, kg$ and $m_2 = 4.8\, kg$ tied to a string are hanging over a light  frictionless pulley. ............ $m/s^2$ is the acceleration of the masses when they  are free to move . $(g = 9.8\, m/s^2)$

A particle of mass $m$, initially at rest, is acted on by a force $F = F_0 \left\{ {1 - {{\left( {\frac{{2t - T}}{T}} \right)}^2}} \right\}$ during the interval $0 \leq 0 \leq t \leq T$. The velocity of the particle at the end of the interval is :

A particle of mass $m$ strikes a wall with speed $v$ at an angle $30^{\circ}$ with the wall elastically as shown in the figure. The magnitude of impulse imparted to the ball by the wall is

If a pushing force making an angle $\alpha$ with horizontal is applied on a block of mass $m$ placed on horizontal table and angle of friction is $\beta$, then minimum magnitude of force required to move the block is

Mass $m$ is released from point $A$ as shown in figure then tension in the string at the point $B$ will be