Question

A body is falling from a height h. After it has fallen a height h / 2 , it will possess
(a) only potential energy
(b) only kinetic energy
(c) half potential and half kinetic energy
(d) more kinetic and less potential energy

Answer 1

the body will posses half kinetic energy and half potential energy.

As we discussed in

Kinetic energy -

k= \frac{1}{2}mv^{2}

- wherein

m\rightarrow mass

v\rightarrow velocity

kinetic Energy is never negative

 

 

Potential Energy -

U_{f}-U_{i}= \int_{r_{i}}^{r_{f}}\vec{f}\cdot \vec{ds}

- wherein

U_{f}-final\: potential\: energy

U_{i}-initial \: potential\: energy

f-force

ds-small \: displacement

r_{i}-initial \: position

r_{f}-final\: position

 

half potential and half kinetic energy

Option 1)

only potential energy

 

Option is incorrect

Option 2)

only kinetic energy

 

Option is incorrect

Option 3)

half potential and half kinetic energy

Option is correct

Option 4)

more kinetic and less potential energy

 

option is correct.

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