A force $\vec{F}=\hat{i}+4 \hat{j}$ acts on block shown. The force of friction acting on the block is
$-\hat{ i }$
$-1.8 \hat{i}$
$-2.4 \hat{i}$
$-3 \hat{i}$
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 rocket with a lift-off mass $2\times10^4\, kg$ is blasted upwards with an intial acceleration of $5\, m\, s^{-2}$. The initial thrust of the blast is (Take $g = 10\, m\, s^{-2}$)
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 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 ......... $m/\sec$