Solve Impulse Question on Bullet Acceleration & Force

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SUMMARY

The discussion focuses on calculating the acceleration, force, time, and impulse of a bullet with a mass of 0.005 kg traveling at 400 m/s that penetrates 0.08 m into a wooden block. The calculations yield an acceleration of 1,000,000 m/s², an accelerating force of 5000 N, a time of acceleration of 0.0004 s, and an impulse of 2 Ns. The equations used include a = -Vi² / 2s for acceleration and I = Ft for impulse, confirming the application of Newton's laws in the analysis.

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Homework Statement



A bullet with a mass of 0.005 kg and moving with a speed of 400 m/s penetrates a distance of 0.08m into a wooden block firmly attached to the Earth. Assume that the force stops it is constant. Compute for:

a.) acceleration of the bullet
b.) accelerating force
c.) time of acceleration
d.) impulse of the bullet


Homework Equations



I think I'll use

a=-Vi^2 / 2s.

for the acceleration of the bullet.

then for the acceleration of the bullet,

F=m(Vf-Vi)

then for the time of acceleration,

t = m(Vf-Vi) / F

am i right?
 
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acsin92 said:

Homework Statement



A bullet with a mass of 0.005 kg and moving with a speed of 400 m/s penetrates a distance of 0.08m into a wooden block firmly attached to the Earth. Assume that the force stops it is constant. Compute for:

a.) acceleration of the bullet
b.) accelerating force
c.) time of acceleration
d.) impulse of the bullet


Homework Equations



I think I'll use

a=-Vi^2 / 2s.
for the acceleration of the bullet.
yes
then for the accelerating force [/color]of the bullet,

F=m(Vf-Vi)
No, what is Newton's second law?
then for the time of acceleration,

t = m(Vf-Vi) / F
yes, (or use t = (Vf -Vi)/a , as a check)
am i right?
and part d?
 
a.) acceleration of the bullet = 1,000,000 m/s^2
b.) accelerating force = 5000N
c.) time of acceleration = 0.0004 s
d.) impulse of the bullet = 2 Ns

are these correct? I used the equations above. I'm in doubt whether this is correct because of those large numbers and for that small amount of time.

I used the equation of I=Ft for impulse.
 
Last edited:

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