Question

The law of conservation of energy is state that energy can neither be created nor be destroyed but  it can only change one form in to another. Represent graphically, the variation of KE,PE and TE in the above case

Answer 1

Answer:

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Answer 2

Answer:

consider a point A with some height H

at point A

PE = mgh and KE = half mv² = 0

so TE = mgh + 0 = mgh........(1)

now, at point B with height x , we have,

PE= mgh

= mg(h- x)

= mgh - mgx .........(a)

KE = ½mv²

using the 3rd equation of motion, we have

v² = u² +2 as

v²= 0² + 2gx ( u=0, a = g, s = x)

v²= 2gx

KE = ½ mv² = ½m ×2gx =mgx......(b)

TE = mgh-mgx +mgx

TE= mgh............(2)

now, at point c ,

PE =m× g×0 =0

KE =½ mv²

using 3rd equation of motion, we have ,

v² = u²+2as

v²=. 0²+2gh. ( u=0,a=g and s=h )

v² =2gh

KE =½ mv²

=½ m ×2gh

= mgh

now , TE = mgh +0= mgh.............(3)

so we should conclude that at different position the total energy remains same..

Explanation:

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