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
$m v$
$\frac{m v}{2}$
$2 m v$
$\sqrt{3} m v$
An insect crawls up a hemispherical surface very slowly (see the figure). The coefficient of friction between the insect and the surface is $1/3$. If the line joining the centre of the hemispherical surface to the insect makes an angle $\alpha $ with the vertical, the maximum possible value $\alpha $ is given by
In the figure the tension in the diagonal string is $60\,N$.Find the magnitude of the horizontal force $\overline{ F }_1$ and $\overline{ F }_2$ that must be applied to hold the system in the position shown.what is the weight of the suspended block?
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 $g = 10\, m\, s^{-2}$)
The acceleration of $10\,kg$ block when $F =30\,N$