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Vedmedyk [2.9K]
3 years ago
7

An object of mass 2kg raised to a height 10m possess potential energy of 200J. What is the kinetic energy and potential energy a

t a height 4 metre? ​
Physics
2 answers:
damaskus [11]3 years ago
6 0

<h2>given:-</h2>

An object of mass 2kg raised to a height 10m possess potential energy of 200J.

<h3>to find:-</h3>

What is the kinetic energy and potential energy at a height 4 metre?

<h2><em>solution</em><em>:</em><em>-</em></h2>

<em>from</em><em> </em><em>energy</em><em> </em><em>conservation</em><em>, </em>

<em>potential</em><em> </em>energy at 10m height =potential energy +kinetic energy at 4 m

potential energy at 10 m height=<em>2</em><em>0</em><em>0</em>

let,Kinetic energy at 4m=KE

potential energy at 4m=PE

so,

  • <u>2</u><u>0</u><u>0</u><u>=</u><u>KE</u><u>+</u><u>PE</u>

potential energy at 4m height =

  • <em>mgh</em>
  • <em>2</em><em>×</em><em>1</em><em>0</em><em>×</em><em>4</em>
  • <em><u>8</u></em><em><u>0</u></em>

Hence,

kinetic energy at 4m is <u>=</u><u>200-8</u><u>0</u><u>=</u><u>120J</u>

Shtirlitz [24]3 years ago
4 0

Explanation:

{\bold{\sf{\underline{Understanding \: the \: concept}}}}

✠ 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.

\bold{↬{   }}{\bold{\sf{\underline{Given \: that}}}}

✰ Mass = 2 kilograms

✰ Raised height = 10 metres

✰ Posses potential energy = 200 Joules

\bold{↬{   }}{\bold{\sf{\underline{To \: find}}}}

✰ Kinetic energy at a height 4 metre

✰ Potential energy at a height 4 metre

{\bold{\sf{\underline{Solution}}}}

✰ Kinetic energy at a height 4 metre = 120 J

✰ Potential energy at a height 4 metre = 80 J

{\bold{\sf{\underline{Using \: concepts}}}}

✰ Potential energy formula.

{\bold{\sf{\underline{Using \: formula}}}}

✰ Potential energy = mgh

{\bold{\sf{\underline{We \: also \: write \: these \: as}}}}

✰ Potential energy as P.E

✰ Mass as m

✰ Joules as J

✰ Height as h

✰ Raised height as g

{\bold{\sf{\underline{Full \: solution}}}}

<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

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\large\boxed{\text{B) 20 meters}}

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