Final Velocity of 5.0g Bullet: 117m/s

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Homework Help Overview

The discussion revolves around calculating the final velocity of a 5.0 g bullet starting from rest, subjected to a net force of 45 N over a distance of 0.80 m. The subject area includes dynamics and kinematics.

Discussion Character

  • Exploratory, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants discuss the application of Newton's second law (F=ma) to find acceleration and subsequently use kinematic equations to determine final velocity. There are questions about the accuracy of time calculation and its impact on the final velocity result.

Discussion Status

The discussion includes various interpretations of the time calculation and its effect on the final velocity. Some participants suggest that rounding may lead to discrepancies in the final answer, while others express confusion about the implications of significant figures.

Contextual Notes

Participants note the importance of precision in calculations and the potential impact of rounding on results. There is also mention of the original poster's grade level, which may influence their understanding of the concepts discussed.

Ayesha Shafique
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What will the final velocity of 5.0 g bullet starting from rest if a net force of 45 N is applied over a distance of 0.80 m ?2.3. i tried to solve it but i don't know of my anwer is correct
F=ma, F/m=a
45/.005 kg
a=9000m/s^-2
From this formula ( d=1/2at^2) we can say that
Time= 2d/a and then take under root
2×0.80/9000 (under root or square root)
=0.013 sec
initial velocity (u) =0
a=v-u/t
at=v-u
9000×0.013=v-0
117+0=v
answer is 117m/s^-1
 
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You get 120m/s if you don't round down to 0.013 seconds.
 
CWatters said:
You get 120m/s if you don't round down to 0.013 seconds.
I don't understand what you mean by this. Please tell what does it mean because i am only in 8 grade
 
Ayesha Shafique said:
I don't understand what you mean by this. Please tell what does it mean because i am only in 8 grade

What CWatters means is that 0,013 s is not the exact value of the time. If you use the exact value, which is t = (2*0,8/9000)^(1/2), you will get a slightly different, more correct answer. I would recommend googleing "significat numbers". :)
 
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Alettix said:
What CWatters means is that 0,013 s is not the exact value of the time. If you use the exact value, which is t = (2*0,8/9000)^(1/2), you will get a slightly different, more correct answer. I would recommend googleing "significat numbers". :)
Thank you very much for your help. I also had the same answer but the problem was that i shortened 0.0133333333333 to 0.013 that's why my answer was 117 and not 120.
 

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