A particle is released from height $\mathrm{S}$ from the surface of the Earth. At a certain height its kinetic energy is three times its potential energy. The height from the surface of earth and the speed of the particle at that instant are respectively :
A particle is released from height $\mathrm{S}$ from the surface of the Earth. At a certain height its kinetic energy is three times its potential energy. The height from the surface of earth and the speed of the particle at that instant are respectively :
- [NEET 2021]
- A
$\frac{\mathrm{S}}{4}, \frac{3 \mathrm{gS}}{2}$
- B
$\frac{\mathrm{S}}{4}, \frac{\sqrt{3 g S}}{2}$
- C
$\frac{\mathrm{S}}{2}, \frac{\sqrt{3 \mathrm{gS}}}{2}$
- D
$\frac{\mathrm{S}}{4}, \sqrt{\frac{3 \mathrm{gS}}{2}}$
Similar Questions
A toy car of mass $5 \,kg$ moves up a ramp under the influence of force $ F$ plotted against displacement $x$. The maximum height attained is given by
A toy car of mass $5 \,kg$ moves up a ramp under the influence of force $ F$ plotted against displacement $x$. The maximum height attained is given by
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 ?
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 ?
A particle is projected vertically upwards with a speed of $16\ m/s$ , after some time , when it again passes through the point of projection, its speed is found to be $8\ m/s$ . It is known that the work done by air resistance is same during upward and downward motion. Then the maximum height attained by the particle is ...................... $\mathrm{m}$ ( $g$ = $10\ m/s^2$ )
A particle is projected vertically upwards with a speed of $16\ m/s$ , after some time , when it again passes through the point of projection, its speed is found to be $8\ m/s$ . It is known that the work done by air resistance is same during upward and downward motion. Then the maximum height attained by the particle is ...................... $\mathrm{m}$ ( $g$ = $10\ m/s^2$ )
A number of identical cubical blocks of edge $'a'$ and mass $m$ are lying on a horizontal table. The work done on the blocks in arranging them in a column of height $(n + 1)a$ on the table is
A number of identical cubical blocks of edge $'a'$ and mass $m$ are lying on a horizontal table. The work done on the blocks in arranging them in a column of height $(n + 1)a$ on the table is
Two monkeys with the same mass stand on a branch at height $h$ above the horizontal jungle floor. Monkey $A$ steps off the branch holding the end of an inextensible rope of length $L$ whose other end is tied to another branch at height $H$, lets go at the bottom of the swing, and falls freely to the floor, as shown below. Monkey $B$ steps off and falls straight downward. Then, neglecting air resistance but not the tension in the rope, the total work $W$ done on each monkey and the speed $v$ with which each hits the floor are as follows:
Two monkeys with the same mass stand on a branch at height $h$ above the horizontal jungle floor. Monkey $A$ steps off the branch holding the end of an inextensible rope of length $L$ whose other end is tied to another branch at height $H$, lets go at the bottom of the swing, and falls freely to the floor, as shown below. Monkey $B$ steps off and falls straight downward. Then, neglecting air resistance but not the tension in the rope, the total work $W$ done on each monkey and the speed $v$ with which each hits the floor are as follows: