Question

Explain in detail :

Question:
Prove that the kinetic energy of a freely falling object on reaching the ground is nofhing but the transformation of its initial potential energy.
​

Answer 1

Answer:

Work , Power and Energy

Explanation:

» For example ; let an object be at height "h" and of mass "m" .

★ We know that when object is at rest and also at a particular height from ground it concieves Potential Energy at that time .

As ; PE = Mass × gravity × height .

» So ; when object changes its position and enters free fall motion

u can notice that ; The body gains some velocity and also height decreases as on moving downwards .

★ As ; height decreases the potential Energy also decreases ★

» And also ; When the object gains velocity u can see that the velocity increases gradually and then becomes zero at ground .

So it concludes that ; The potential Energy gradually transforms into Kinetic energy As the ball be there in motion.

the object gains velocity as a result of stored Potential Energy .

Hope it helps you.

Answer 2

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

$\huge\bf{Answer:-}$

Total energy at initial position = K.E + P.E = 0 + mgh

Total energy when it reaches the ground = K.E + P.E = 0.5mv^2 + 0

Velocity when it reaches the ground = sqrt(2gh)

Substitute velocity in total energy equation

Total energy when it reaches the ground = 0.5mv^2 = 0.5m * 2gh = mgh

We found that total energy when it reaches the ground = Total energy at initial position.

In other words, kinetic energy with which it hits the ground is the transformation of its initial potential energy.

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬