Answer:
It is a common sense as the ball has fallen halfway, half of its potential energy is converted into the kinetic energy.
Step-by-step explanation:
Lets take an example to understand the concept clearly.
Let suppose If a 16 kg ball is dropped from a height of 10m, and we have to determine what is the kinetic energy when it has fallen half way to the ground.
Observe the following things:
At a height of [tex]10m[/tex], the ball carries a certain potential energy.
As
[tex]G.P.E=m.g.h[/tex]
so the potential energy of the ball is
[tex]G.P.E=m.g.h[/tex]
[tex]G.P.E=16\cdot 9.81\cdot 10\:[/tex]
[tex]G.P.E=1,569.6\:J[/tex]
Halfway down, the potential energy of the ball, as the height changes
[tex]G.P.E=m.g.h=16\cdot 9.81\cdot 5=784.8\:J[/tex]
According to the law of conservation of energy, energy can't be destroyed or vanished. Thus, the lost potential energy of the ball is converted into another form of energy. Here, the lost potential energy of the ball is converted into kinetic energy of the ball.
Therefore, the kinetic energy of the ball will be equal to the potential energy of the ball at [tex]10m[/tex] minus the potential energy of the ball at [tex]5m[/tex].
i.e. [tex]1569.6-784.8=784.8\:J[/tex]
It is a common sense as the ball has fallen halfway, half of its potential energy is converted into the kinetic energy. As soon as the ball reaches the ground i.e. at [tex]height\:=0\:m[/tex] , all of potential energy of the ball would be converted into the kinetic energy, and ultimately some other form of energy onward.
Keywords: G.P.E, Kinetic energy, acceleration, energy conversion
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