Consider a one -dimensional motion of a particle with total energy E. There are four regions A,B,C and D in which the relation between potential energy E. There are four regions A,B,C and D in which the relation between potential energy V, kinetic energy (K) and total energy E is as given below
Region `A : V gt E ` Region `B: V lt E`
Region `C :K gt E` Region `D : V gt E` .
State with reasons in each

Explanation

We know that
Total energy `E = PE +KE`
`E = V+K " "…..(i)`
For region A : Given `V gt E` From Eq. (i)
`K = E -V`
as ` V gt E rArr E - V lt 0 `
Hence , `K lt 0 ` , this is not possible .
For region B : `V lt E rArr E - V gt 0 `
This is possible because total energy can be greater than PE(V) .
or region C : Given , `K gt E rArr K - E K - ZE lt 0 `
Which is possible , because PE can be negative . For region D :Given `V gt K `
This is possible because for a system pE (V) may be greater than kE (K) .