A small disk can slide in a circular path on a frictionless inclined plane inclined at an angle of $30^o $ with the help of a thread as shown. Mass of the disk is $m$ and acceleration due to gravity is $g$. If the disk is released, when the thread is horizontal, expression for the tension in the thread at the lowest point is :- ................. $\mathrm{mg}$
$0.5$
$1.5$
$2$
$3$
A light inextensible string that goes over a smooth fixed pulley as shown in the figure connects two blocks of masses $0.36 \mathrm{~kg}$ and $0.72 \mathrm{~kg}$. Taking $g=10 \mathrm{~m} / \mathrm{s}^2$, find the work done (in joules) by the string on the block of mass $0.36 \mathrm{~kg}$ during the first second after the system is released from rest.
A cyclist comes to a skidding stop in $10 \;m$. During this process, the force on the cycle due to the road is $200\; N$ and is directly opposed to the motion.
$(a)$ How much work does the road do on the cycle ?
$(b)$ How much work does the cycle do on the road ?
The force constant of a wire is $k$ and that of another wire is $2k.$ When both the wires are stretched through same distance, then the work done
Three particles $A,B$ and $C$ are thrown from the top of a tower with the same speed. $A$ is thrown up, $B$ is thrown down and $C$ is horizontally. They hit the ground with speeds $V_A, V_B$ and $V_C$ respectively, then