Calculating Air Resistance Force: Table Tennis Ball Falling at 8.2 m/s

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Homework Help Overview

The discussion revolves around calculating the air resistance force acting on a table tennis ball with a mass of 10 g falling at a constant speed of 8.2 m/s. Participants explore the relationship between gravitational force and air resistance in the context of Newton's laws of motion.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants discuss the implications of constant velocity on the forces acting on the ball, questioning the balance between gravitational force and air resistance. Some participants attempt to apply Newton's laws to clarify the situation.

Discussion Status

The discussion has evolved to a point where participants are recognizing that the forces are balanced due to the constant velocity of the ball. There is acknowledgment of the gravitational force and its relationship to air resistance, with some participants expressing clarity on the concepts involved.

Contextual Notes

Participants are working under the assumption that the ball is falling freely and that the only forces acting on it are gravity and air resistance. There is a focus on understanding the implications of Newton's laws in this scenario.

missmerisha
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Homework Statement



A table tennis ball of mass 10 g is falling towards the ground with a constant speed of 8.2 m/s.

Calculate the magnitude and direction of the air resistance force acting on the ball.

Homework Equations


Not quite sure


The Attempt at a Solution



m= 10 g which equals .01 kg
v = 8.2 m/s

.01* 8.2
= 8.2


Textbook Solution .098N
 
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missmerisha said:

Homework Statement



A table tennis ball of mass 10 g is falling towards the ground with a constant speed of 8.2 m/s.

Calculate the magnitude and direction of the air resistance force acting on the ball.

Homework Equations


Not quite sure


The Attempt at a Solution



m= 10 g which equals .01 kg
v = 8.2 m/s

.01* 8.2
= 8.2


Textbook Solution .098N
Welcome to Physics Forums,

Let's start from the top. Since the tennis ball is moving with a constant velocity, what can you say about the forces acting on it?
 
There's an unbalanced force because the object is travelling. Air resistance is opposing gravity in this case.
 
missmerisha said:
Air resistance is opposing gravity in this case.
True.
missmerisha said:
There's an unbalanced force because the object is travelling.
Not true. I suggest you think about Newton's Second and First Laws.
 
Newton's First Law states an object will remain at rest or travel at a constant velocity unless there's an unbalanced force.

Newton's Second Law
F= ma

Thinking time:

Gravity

g/a = 9.8 ms ^-2
m = .01 kg
F= .98 N

So gravity has a force of .98 N
 
missmerisha said:
Newton's First Law states an object will remain at rest or travel at a constant velocity unless there's an unbalanced force.

Newton's Second Law
F= ma

Thinking time:

Gravity

g/a = 9.8 ms ^-2
m = .01 kg
F= .98 N

So gravity has a force of .98 N
You might want to check you arithmetic, but you're on the right lines.

Now know that that the ball is at constant velocity, what can you say about the sum of all the forces acting on it?
 
I'm still really confused.
The sum of all forces acting on it is equal.
 
missmerisha said:
I'm still really confused.
The sum of all forces acting on it is equal.
... equal to zero: Correct! So if the weight of the ball is mg, what must be the magnitude of the drag?
 
wait, I think I get it now
The sum of all forces acting on it is equal because it's traveling at a constant velocity.
hence, gravity and air resistance must have the same magnitude.

using mg
m = .01 kg
g(gravity) = 9.8 m/s^2
= .098 N

Is that correct?
 
  • #10
missmerisha said:
wait, I think I get it now
The sum of all forces acting on it is equal because it's traveling at a constant velocity.
hence, gravity and air resistance must have the same magnitude.

using mg
m = .01 kg
g(gravity) = 9.8 m/s^2
= .098 N

Is that correct?
Spot on :approve:
 
  • #11
^THANK YOU! I am no longer confused and I get it now!
=D
 
  • #12
missmerisha said:
^THANK YOU! I am no longer confused and I get it now!
=D
It was a pleasure :smile:
 

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