A simple pendulum of mass $200\, gm$ and length $100\, cm$ is moved aside till the string makes an angle of $60^o$ with the vertical. The kinetic and potential energies of the bob, when the string is inclined at $30^o$ to the vertical, are
$7.174 \times {10^6}\,erg$, $2.626 \times {10^6}\,erg$
$8.2 \times {10^6}\,erg$, $2.2 \times {10^6}\,erg$
$2.6 \times {10^6}\,erg$, $5.6 \times {10^6}\,erg$
$3.6 \times {10^6}\,erg$, $6.2 \times {10^6}\,erg$
Figure shows the variation of a force $F$ acting on a particle along $x$-axis. If the particle begins at rest at $x=0$, what is the particle's coordinate when it again has zero speed?
A block of mass ' $m$ ' (as shown in figure) moving with kinetic energy $E$ compresses a spring through a distance $25\,cm$ when, its speed is halved. The value of spring constant of used spring will be $nE\; Nm ^{-1}$ for $n=$
A wedge of mass $M = 4\,m$ lies on a frictionless plane. A particle of mass $m$ approaches the wedge with speed $v$. There is no friction between the particle and the plane or between the particle and the wedge. The maximum height climbed by the particle on the wedge is given by
Two bodies moving towards each other collide and move away in opposite directions. There is some rise in temperature of bodies because a part of the kinetic energy is converted into
A cricket ball of mass $0.15\, kg$ is thrown vertically up by a bowling machine so that it rises to a maximum height of $20 \;m$ after leaving the machine. If the part pushing the ball applies a constant force $F$ on the ball and moves horizontally a distance of $0.2\, m$ while launching the ball, the value of $F($ in $N)$ is
$\left(g=10\, m s^{-2}\right)$