What is the final velocity of the ball?

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The discussion revolves around calculating the final velocity of a ball that strikes a wall at a 60-degree angle and rebounds at the same angle. The initial momentum (p1) and final momentum (p2) are calculated using the formula p = mvcos(angle), with confusion arising over the correct angles and the role of time in the calculations. Participants clarify that p1 and p2 are not the same and emphasize the importance of geometry in determining the correct values. The conversation highlights the application of Newton's second law to find force (F) using the change in momentum over time. Ultimately, the correct calculations lead to a force value of 71.6N, though some participants still struggle with the trigonometric values involved.
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Homework Statement



a ball hits a wall at 60 degrees from the wall and leaves the wall at 60 degrees.

v1 = 10 m/s
v2 = 10 m/s
m = 3.00 kg
t = 0.200s

Homework Equations



p = mvcos(angle)
J = p2 - p1


The Attempt at a Solution



p = (3.00)(10)(cos(60))
p1 = 15
p2 = 15

and that is as far as i can get. I am not sure how time plays into this. Any help is appreciated. I have the text in a few hours. Thank you
 
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what is being asked for?
 
rzlblrt417 said:

Homework Statement



a ball hits a wall at 60 degrees from the wall and leaves the wall at 60 degrees.

v1 = 10 m/s
v2 = 10 m/s
m = 3.00 kg
t = 0.200s

Homework Equations



p = mvcos(angle)
J = p2 - p1


The Attempt at a Solution



p = (3.00)(10)(cos(60))
p1 = 15
p2 = 15

and that is as far as i can get. I am not sure how time plays into this. Any help is appreciated. I have the text in a few hours. Thank you


As grzz said , I cannot understand what you are trying to find out. Anyways what's the question asking for ?
 
My apologies, I always do that. Force on by the wall on ball
 
*by wall on the ball
 
rzlblrt417 said:
*by wall on the ball

Got that ! Ok so what is p1 ? Or I mean momentum of the ball before striking the wall ?

Then you find out p2 or the momentum of ball after it stroke the wall.

What do you get ?
 
sankalpmittal said:
Got that ! Ok so what is p1 ? Or I mean momentum of the ball before striking the wall ?

Then you find out p2 or the momentum of ball after it stroke the wall.

What do you get ?

the same thing for p1 as p2?
 
14.7n?
 
rzlblrt417 said:
the same thing for p1 as p2?

No p1 and p2 aren't same. Be careful regarding geometry.

Hint : see the image : http://postimage.org/image/qvnhzhnsl/

Above answer is wrong.
Look at image
 
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  • #10
sankalpmittal said:
No p1 and p2 aren't same. Be careful regarding geometry.

Hint : see the image : http://postimage.org/image/qvnhzhnsl/

ok so then

p1 = (3.00)(10)cos(30)
p2 = (3.00)(10)cos(60)

so p2 - p1 = -14.133 so then it would just be 14.133N?

or is it sin(30) making it 14.5N
 
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  • #11
rzlblrt417 said:
ok so then

p1 = (3.00)(10)cos(30)

Correct.

p2 = (3.00)(10)cos(60)

Right !

so p2 - p1 = -14.133 so then it would just be 14.133N?

or is it sin(30) making it 14.5N

Nope. What about time t ?
From Newton's second law : F= Δp/Δt = p1-p2/t

Plug in it. What do you get ?
Do calculations properly. You got it wrong for p1-p2 also.
 
  • #12
sankalpmittal said:
Correct.



Right !



Nope. What about time t ?
From Newton's second law : F= Δp/Δt = p1-p2/t

Plug in it. What do you get ?
Do calculations properly. You got it wrong for p1-p2 also.

OH! ok so then after plugging everything in i got 71.6N!
 
  • #13
rzlblrt417 said:
OH! ok so then after plugging everything in i got 71.6N!

Your method of evaluation is correct but calculations are wrong. Do you know the value of cos 60o and cos 30o ? What are they ?
 
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