Increase Entropy: Solve 0.15kg Ball Dropped from 24m Tower

The energy of the baseball can be calculated using the formula E=mgh, where m is the mass, g is the acceleration due to gravity, and h is the height. However, this does not directly relate to the change in entropy of the universe. In summary, the problem involves finding the change in entropy of the universe when a 0.15 kg baseball is dropped from a 24 m tower with an air temperature of 19 °C, using the formula ΔS = Q/T and the value of gravity as 6.7 x 10^-11 m^3/(kg x s^2).
  • #1
liz_p88
18
0

Homework Statement



On a day when the air temperature is 19 °C, a 0.15 kg baseball is dropped from the top of a 24 m tower. After the ball hits the ground, bounces a few times, and comes to rest, by how much has the entropy of the universe increased?

Homework Equations



ΔS = Q/T

Also gravity is 6.7 x 10^ -11 m^3/(kg x s^2)

The Attempt at a Solution



I know that my answer should come out in units of J/K but I cannot remember how to work this problem and lost all of my notes. Please any help in getting me started would be greatly appreciated.
 
Last edited:
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  • #2
How much energy does the basket ball have?
 
  • #3
I like Serena said:
How much energy does the basket ball have?

There is no basketball, it's a baseball.
 

FAQ: Increase Entropy: Solve 0.15kg Ball Dropped from 24m Tower

How do you calculate the increase in entropy for a 0.15kg ball dropped from a 24m tower?

To calculate the increase in entropy, we can use the formula ΔS = Q/T, where ΔS is the change in entropy, Q is the heat transferred, and T is the temperature. In this case, Q is the potential energy of the ball, which is equal to mgh, where m is the mass, g is the acceleration due to gravity, and h is the height. Therefore, the change in entropy is equal to mgh/T.

What is the initial entropy of the 0.15kg ball before it is dropped from the 24m tower?

The initial entropy of the ball is zero since it is at rest and there is no change in its state.

Will the increase in entropy be the same for a heavier ball dropped from the same height?

No, the increase in entropy will be greater for a heavier ball as it has more potential energy and therefore more heat transferred when it is dropped from the same height.

How does the increase in entropy relate to the concept of disorder?

The increase in entropy is a measure of the disorder or randomness in a system. In this case, the ball is in a more ordered state when it is at the top of the tower, and as it falls, its potential energy is converted into kinetic energy, resulting in a more disordered state.

Can the increase in entropy be reversed?

In theory, it is possible to reverse the increase in entropy by returning the ball to its initial state at the top of the tower. However, this would require an input of energy, and in practice, it is not possible to achieve a perfect reversal of entropy increase.

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