1. Tardigrade
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  3. Physics
  4. Consider an elliptically shaped rail PQ in the vertical plane with OP =6 m and OQ =8 m. A block of mass 1 kg is pulled along the rail from P to Q with a force of 15 N, which is always parallel to line P Q (see the figure given). Assuming no frictional losses, the kinetic energy of the block when it reaches Q is (n × 10) joules. The value of n is (Take acceleration due to gravity =10 ms -2 )

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Q. Consider an elliptically shaped rail $PQ$ in the vertical plane with $OP =6 m$ and $OQ =8\, m$. A block of mass $1 kg$ is pulled along the rail from $P$ to $Q$ with a force of $15 N$, which is always parallel to line $P Q$ (see the figure given).
Assuming no frictional losses, the kinetic energy of the block when it reaches $Q$ is $(n \times 10)$ joules. The value of $n$ is__________
(Take acceleration due to gravity $=10\, ms ^{-2}$ )Physics Question Image

Work, Energy and Power

Solution:

Using work energy theorem
$W _{ mg }+ W _{ F }=\Delta K . E .$
$- mgh + Fd =\Delta K . E .$
$\therefore -1 \times 10 \times 8+15(10)=\Delta KE$
$\therefore \Delta K . E .=70$
$\Rightarrow n =7$