Explanation:
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✠ This question says that there is an object and its mass is 2 kg ; it's raised to a height 10 m and possess potential energy of 200 J. Now this question ask us to find the kinetic energy and the potential energy at a height 4 metre.
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![{\bold{\sf{\underline{Given \: that}}}}](https://tex.z-dn.net/?f=%7B%5Cbold%7B%5Csf%7B%5Cunderline%7BGiven%20%5C%3A%20that%7D%7D%7D%7D)
✰ Mass = 2 kilograms
✰ Raised height = 10 metres
✰ Posses potential energy = 200 Joules
![\bold{↬{ }}](https://tex.z-dn.net/?f=%5Cbold%7B%E2%86%AC%7B%20%20%20%7D%7D)
![{\bold{\sf{\underline{To \: find}}}}](https://tex.z-dn.net/?f=%7B%5Cbold%7B%5Csf%7B%5Cunderline%7BTo%20%5C%3A%20find%7D%7D%7D%7D)
✰ Kinetic energy at a height 4 metre
✰ Potential energy at a height 4 metre
![{\bold{\sf{\underline{Solution}}}}](https://tex.z-dn.net/?f=%7B%5Cbold%7B%5Csf%7B%5Cunderline%7BSolution%7D%7D%7D%7D)
✰ Kinetic energy at a height 4 metre = 120 J
✰ Potential energy at a height 4 metre = 80 J
![{\bold{\sf{\underline{Using \: concepts}}}}](https://tex.z-dn.net/?f=%7B%5Cbold%7B%5Csf%7B%5Cunderline%7BUsing%20%5C%3A%20concepts%7D%7D%7D%7D)
✰ Potential energy formula.
![{\bold{\sf{\underline{Using \: formula}}}}](https://tex.z-dn.net/?f=%7B%5Cbold%7B%5Csf%7B%5Cunderline%7BUsing%20%5C%3A%20formula%7D%7D%7D%7D)
✰ Potential energy = mgh
![{\bold{\sf{\underline{We \: also \: write \: these \: as}}}}](https://tex.z-dn.net/?f=%7B%5Cbold%7B%5Csf%7B%5Cunderline%7BWe%20%5C%3A%20also%20%5C%3A%20write%20%5C%3A%20these%20%5C%3A%20as%7D%7D%7D%7D)
✰ Potential energy as P.E
✰ Mass as m
✰ Joules as J
✰ Height as h
✰ Raised height as g
![{\bold{\sf{\underline{Full \: solution}}}}](https://tex.z-dn.net/?f=%7B%5Cbold%7B%5Csf%7B%5Cunderline%7BFull%20%5C%3A%20solution%7D%7D%7D%7D)
<h3>✠ Let us find the Potential energy.</h3>
↦ Potential energy = mgh
↦ Potential energy = 2 × 10 × 4
↦ Potential energy = 20 × 4
↦ Potential energy = 80 J
<h3>✠ Now according to the question let us find the kinetic energy</h3>
↦ Kinetic energy = Posses potential energy - Finded potential energy
↦ Kinetic energy = 200 J - 80 J
↦ Kinetic energy = 120 Joules