Momentum of a Bullet Contacting a Block

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Homework Help Overview

The problem involves a bullet with a mass of 4.0 g and a speed of 650 m/s impacting a block of wood with a mass of 0.095 kg, which is on a frictionless surface. The bullet passes through the block, and the block's speed after the bullet exits is given as 23 m/s. The questions posed include finding the bullet's speed upon exiting the block and whether energy is conserved during the collision.

Discussion Character

  • Mixed

Approaches and Questions Raised

  • Participants discuss the application of conservation of momentum and the need for correct unit conversions. There are attempts to calculate the bullet's exit speed using the momentum equation, with varying results and some confusion regarding mass units.

Discussion Status

There is an ongoing dialogue about unit conversions and the calculations involved. Some participants have provided alternative calculations, leading to different results, but no consensus has been reached on the correct exit speed of the bullet.

Contextual Notes

Participants have noted issues with mass unit conversions, specifically the conversion of grams to kilograms, which has led to discrepancies in calculations. The problem also involves the consideration of energy conservation in the context of the collision.

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Homework Statement


A bullet with a mass of 4.0 g and a speed of 650 m/s is fired at a block of wood with a mass of 0.095 kg. The block rests on a frictionless surface, and is thin enough that the bullet passes completely through it. Immediately after the bullet exits the block, the speed of the block is 23 m/s.

(a) What is the speed of the bullet when it exits the block?


(b) Is energy conserved in this collision? (yes or no)

Homework Equations


(m1)(v1o)+(m2)(v2o)=(m1)(v1)+(m2)(v2)


The Attempt at a Solution



(4000)(650)+(0.095)(0)=(4000)(v1)+(0.095)(23)

v1≈650.00 (Apparently this is wrong.)
 
Last edited:
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Your mass units need attention.
 
lewando said:
Your mass units need attention.
I don't see any mass unit that needs attention. The only thing I did with mass was convert m1 (4.0 g) to the SI unit kg.
 
4g is not 4000kg. :smile:
 
lewando said:
4g is not 4000kg. :smile:

Aww crap! Dang, I feel so ridiculous for reversing it up!
 
We all have our moments. That would be some big bullet. No wonder it didn't slow down.
 
With the correct unit conversions and your same formula, I got 296.94
 
PotentialE said:
With the correct unit conversions and your same formula, I got 296.94

I got 103.75. :confused:
 
MV+MV = MV+MV
.004kg*650m/s + .095kg*0 = .004kg*VF + .095kg*23
2.6 = .004*VF + 2.185
.0415 = .004VF
Vf= 103.75

0.0 my bad, man sorry about that
 
  • #10
PotentialE said:
MV+MV = MV+MV
.004kg*650m/s + .095kg*0 = .004kg*VF + .095kg*23
2.6 = .004*VF + 2.185
.0415 = .004VF
Vf= 103.75

0.0 my bad, man sorry about that

No problem! Thanks for confirming!
 

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