Momentum and impulse of a volleyball

AI Thread Summary
The discussion centers on calculating the average force exerted on a volleyball during a hit. A 0.45 kg volleyball traveling at 3.2 m/s is struck back at 7 m/s over a contact time of 0.047 seconds. The correct approach involves using the change in momentum formula, where the final velocity is -7 m/s and the initial velocity is 3.2 m/s. The calculation for average force is derived from the equation f = Δp/Δt, resulting in a change in momentum of 0.45 kg multiplied by the difference in velocities divided by the contact time. The conversation emphasizes the importance of correctly identifying the initial and final velocities to arrive at the right answer.
*intheclouds*
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OK I have 1 more question for today...

Homework Statement



A 0.45kg volleyball travels witha horizontal velocity of 3.2m/s over the net. You jump up an hit the ball back witha horizontal velocity 7 m/s. If the contact time is 0.047s, what is the average force on the ball?

Homework Equations




Here are all the equations that were in our notes for this section.
p (momentum) There was triangle P and triange t in my notes, so I wrote "change in"

p=mv
f=ma
f*"change in"t="change in"p
f*"change in"t=mvf-mvi
"change in" P=mvf-mvi

The Attempt at a Solution


Again, I wasnt really sure what equation to use...

[(.45kg)(-3.8m/s)-(.45kg)(3.2m/s)]/(.047s)

I got -67.0, but it wasn't right...

Please help...=]
 
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*intheclouds* said:
OK I have 1 more question for today...

Homework Statement



A 0.45kg volleyball travels witha horizontal velocity of 3.2m/s over the net. You jump up an hit the ball back witha horizontal velocity 7 m/s. If the contact time is 0.047s, what is the average force on the ball?

Homework Equations




Here are all the equations that were in our notes for this section.
p (momentum) There was triangle P and triange t in my notes, so I wrote "change in"

p=mv
f=ma
f*"change in"t="change in"p
f*"change in"t=mvf-mvi
"change in" P=mvf-mvi

The Attempt at a Solution


Again, I wasnt really sure what equation to use...

[(.45kg)(-3.8m/s)-(.45kg)(3.2m/s)]/(.047s)

I got -67.0, but it wasn't right...

Please help...=]

\textbf{f}=\Delta \textbf{p}/\Delta t.
 
Ok the change in p would be...
(.45kg)(3.2m/s)-(.45kg)(7m/s)?
Im not really sure if i could just use the numbers from the problem or if i had to change the velocities or if they were in the correct order...
 
*intheclouds* said:
Ok the change in p would be...
(.45kg)(3.2m/s)-(.45kg)(7m/s)?
Im not really sure if i could just use the numbers from the problem or if i had to change the velocities or if they were in the correct order...

\Delta \textbf{p} = m(\textbf{v}_f-\textbf{v}_i)/t, where the final velocity is 7 m/s in the negative direction and the initial velocity is 3.2 m/s in the positive direction.
 
so it would be:
.45kg(-7+3.2)/.047??
 
*intheclouds* said:
so it would be:
.45kg(-7+3.2)/.047??

Close.

The final velocity is -7, the initial velocity is 3.2. But, the change in momentum is given by the change in velocity. Id est, final minus initial.
 
Oh, so:
.45kg(3.2-7)/.047??
 
*intheclouds* said:
Oh, so:
.45kg(3.2-7)/.047??

Final, -7, minus initial, +3.2, =>

0.45kg (-7m/s - +3.2m/s)/0.047s =

0.45kg (-10.2m/s) / 0.047s =...
 
Wow. Thank you again. You are amazing...=]
 
  • #10
*intheclouds* said:
Wow. Thank you again. You are amazing...=]

No big deal.
 
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