Potential Energy/ The Isolated system

AI Thread Summary
A ball of mass 8 kg is dropped from a height of 13.9 m, and the question asks for its final speed when it hits a table 0.7 m below the release point, considering an initial downward speed of 4.9 m/s. The relevant energy equation is Kf + Ugf = Ki + Ugi, which relates kinetic and potential energy. The discussion clarifies that the question seeks the speed just before impact with the table, not after it has been stopped. The key focus is on calculating the ball's speed after falling 0.7 m from its release height. Understanding the context of the height and energy conservation is crucial for solving the problem.
aaronb
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Homework Statement



A ball of mass m = 8 kg is dropped from rest at a height h = 13.9 m above the ground, as in Figure 7.4. Ignore air resistance.

If the ball is being released with a downward speed 4.9 m/s initially, what will be its final speed when it hits the table 0.7 m below the release point?

Homework Equations



Kf+Ugf=Ki+Ugi which is 1/2mvf2+mgy=1/2mvi2 +mgh

The Attempt at a Solution


I am confused in the wording of the question. What do they mean by "final speed when it hits the table 0.7m below the release point?"
 
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aaronb said:

Homework Statement



A ball of mass m = 8 kg is dropped from rest at a height h = 13.9 m above the ground, as in Figure 7.4. Ignore air resistance.

If the ball is being released with a downward speed 4.9 m/s initially, what will be its final speed when it hits the table 0.7 m below the release point?

Homework Equations



Kf+Ugf=Ki+Ugi which is 1/2mvf2+mgy=1/2mvi2 +mgh

The Attempt at a Solution


I am confused in the wording of the question. What do they mean by "final speed when it hits the table 0.7m below the release point?"

They mean the full speed it was going right when it hits the table. Of course the table stopping it will quickly accelerate it down to a velocity of 0, but we want to know the velocity before the table actually stops it.

The important information is .7m. How much kinetic energy will it have when it's fallen .7 meters from where it was dropped?
 
So it's just asking for the speed of the ball after it has fallen 0.7m?
 
aaronb said:
So it's just asking for the speed of the ball after it has fallen 0.7m?

Apparently so.

I will presume that the first question was the speed or kinetic energy when it hit 13.9m below?
 
Nope. The first question asked for the speed at an arbitrary height before the ball hit the ground. In that case it was 5.2m
 
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