Thermodynamis of air in a basketball

In summary, a basketball is compressed to 80% of its original volume, with the air inside initially at a temperature of 20.0 C and a pressure of 2.00 atm. The ball's diameter is 23.9 cm. At maximum compression, the temperature is 47.4 C. The internal energy of the air changes by 0.00333657 between the ball's original state and maximum compression. This can be calculated using the first law of thermodynamics, where the work done on the ball is equal to the change in internal energy.
  • #1
amiv4
25
0

Homework Statement


A player bounces a basketball on the floor, compressing it to 80.0 % of its original volume. The air (assume it is essentially N_2 gas) inside the ball is originally at a temperature of 20.0 C and a pressure of 2.00 atm. The ball's diameter is 23.9 cm

Temperature at maximum compression equals 47.4 C

By how much does the internal energy of the air change between the ball's original state and its maximum compression?
[tex]\Delta[/tex]U=?

Homework Equations



[tex]\Delta[/tex]U=nC_v[tex]\Delta[/tex]T
C_v=20.76

The Attempt at a Solution



n=.0000058657

[tex]\Delta[/tex]U=.00333657
but that's not right
 
Physics news on Phys.org
  • #2


Start with the first law

Q-W=ΔU

now no heat is being added to the system so Q=0

You're left with ΔU= -W. What is the work done on the ball?
 
  • #3


W=nC_v(T_1-T_2)
that is the same thing i was using
 

What is thermodynamics?

Thermodynamics is the branch of physics that deals with the relationships between heat, energy, and work. It studies the behavior of systems that involve the transfer of energy as heat and work.

How does air affect a basketball?

Air plays a crucial role in the performance of a basketball. The amount of air pressure inside the ball affects its bounce, grip, and overall flight. In addition, the temperature of the air can also impact the ball's performance.

Why does a basketball lose air over time?

A basketball loses air over time due to a process called diffusion. Air molecules constantly move from high pressure areas to low pressure areas, causing the air inside the ball to slowly escape. This process is accelerated by changes in temperature and the material of the ball.

How does temperature affect the air inside a basketball?

Temperature has a direct impact on the air pressure inside a basketball. As the temperature increases, the air molecules inside the ball gain energy and move faster, increasing the pressure. On the other hand, a decrease in temperature causes the molecules to slow down, resulting in a decrease in pressure.

What is the ideal air pressure for a basketball?

The ideal air pressure for a basketball is between 7.5 and 8.5 pounds per square inch (psi). This range provides the best balance between bounce, grip, and flight. However, the specific pressure may vary depending on the playing conditions and personal preference of the player.

Similar threads

  • Introductory Physics Homework Help
Replies
2
Views
2K
  • Introductory Physics Homework Help
Replies
1
Views
808
  • Introductory Physics Homework Help
2
Replies
60
Views
5K
Replies
1
Views
926
  • Introductory Physics Homework Help
Replies
9
Views
7K
  • Introductory Physics Homework Help
Replies
5
Views
3K
  • Introductory Physics Homework Help
Replies
4
Views
2K
  • Introductory Physics Homework Help
Replies
9
Views
4K
  • Introductory Physics Homework Help
Replies
10
Views
5K
  • Introductory Physics Homework Help
Replies
4
Views
1K
Back
Top