How Do You Calculate the Force of Air Friction on a Falling Basketball?

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To calculate the force of air friction on a falling basketball, first determine the gravitational force using the equation fg = ma, which yields 24.5 N for a 2.5 kg basketball. The actual acceleration of the ball is 9.4 m/s², which is less than the gravitational acceleration of 9.8 m/s² due to air resistance. The difference in acceleration indicates the presence of air friction, which can be calculated using the equation ma = mg + Fdrag. By rearranging this equation, Fdrag can be found as Fdrag = mg - ma. The presence of air causes the basketball to experience a net force that reduces its acceleration compared to free fall in a vacuum.
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NEWTON'S LAWS: please help!

:eek:

so I am kinda stuck.

problem:

a 2.5kg basketball is dropped from the top of a building. its acceleration is found to be 9.4m/s2 as it drops to the ground. What is the force of air friction on the ball as it falls?

so like...

a=9.4
m-2.5kg
ffs=?
fg=ma
=(2.5)(9.8)
fg= 24.5N

now how do i find Ffs?
 
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What would the acceleration be if there were no air (like in a vacuum)? What causes the difference? How can you use F=ma to solve for the air resistance force and acceleration?
 
from ma=mg+Fdrag that simple. a is given, g is 9.8
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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