Find the final velocity of the bobsled after the last bobsledder jumps in

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SUMMARY

The discussion centers on calculating the final velocity of a bobsled after multiple bobsledders exert forces over time. The total impulse is calculated using the formula \( \text{Impulse} = F \Delta t \), resulting in a total impulse of 1000 Ns when considering four bobsledders pushing with a force of 25 N each for varying durations. However, discrepancies arise regarding the interpretation of the problem, particularly whether to consider the sled at rest or in motion when the bobsledders jump in. The consensus indicates that the individual masses of the bobsledders are not necessary for calculating the final velocity, as the total impulse suffices.

PREREQUISITES
  • Understanding of impulse and momentum concepts
  • Familiarity with the formula \( \text{Impulse} = F \Delta t \)
  • Basic knowledge of Newton's laws of motion
  • Ability to interpret physics problems involving forces and time
NEXT STEPS
  • Study the relationship between impulse and momentum using real-world examples
  • Learn how to apply the conservation of momentum in dynamic systems
  • Explore advanced problems involving multiple forces and time intervals
  • Review the principles of force application in sports physics, particularly in bobsledding
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Physics students, educators, and anyone interested in understanding the dynamics of bobsledding and impulse calculations in sports mechanics.

  • #31
haruspex said:
Not to me. Either 1000Ns is wrong or the problem statement is wrong.
Yeah, the problem statement doesn’t match the solution. But what at @paulimerci did in #10 given the circumstances is a reasonable approach…that’s what’s important IMO.

@palimerci please feel free to complain to the instructor about the better interpretation not jiving with the solution. The impulse should be 450 [Ns] IMHO. I assume @haruspex agrees?
 
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  • #32
erobz said:
Yeah, the problem statement doesn’t match the solution. But what at @paulimerci did in #10 given the circumstances is a reasonable approach…that’s what’s important IMO.

@palimerci please feel free to complain to the instructor about the better interpretation not jiving with the solution. The impulse should be 450 [Ns] IMHO.
 
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  • #33
paulimerci said:
Thank you, @erobz. It appears that I provided a reasonable interpretation this time.
Sure, will do!
 
  • #34
paulimerci said:
Thank you, @erobz. It appears that I provided a reasonable interpretation this time.
You see what is being said right? To get the answer they want, it doesn’t align with the wording of the OP. It’s like they were saying the second guy pushes for 6 more seconds than the first, etc… when they actually said the second guy pushes for 6 seconds…The 1000 [Ns] impulse is the result of a very poor/completely wrong interpretation.
 
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  • #35
erobz said:
You see what is being said right? To get the answer they want, it doesn’t align with the wording of the OP. It’s like they were saying the second guy pushes for 6 more seconds than the first, etc… when they actually said the second guy pushes for 6 seconds…The 1000 [Ns] impulse is the result of a very poor/completely wrong interpretation.
I see that the question is poorly stated. Is it wrong for the second guy to push longer than the first? The time taken by each sledder can be different, right? I understand the answers doesn't make sense.
 
  • #36
paulimerci said:
I see that the question is poorly stated. Is it wrong for the second guy to push longer than the first? The time taken by each sledder can be different, right? I understand the answers doesn't make sense.
I wouldn’t say is wrong that they push longer, but how much longer is a stretch.

Physiologically, the last guy is outputting some pretty high wattage, for a pretty long time, not to mention how much distance they cover before getting into the sled…the real guys are in under 5 seconds (total elapsed time).

The real problem here is the solution does not match the problem statement.
 
  • #37
paulimerci said:
I see that the question is poorly stated. Is it wrong for the second guy to push longer than the first? The time taken by each sledder can be different, right? I understand the answers
erobz said:
I wouldn’t say is wrong that they push longer, but how much longer is a stretch.

Physiologically, the last guy is outputting some pretty high wattage, for a pretty long time, not to mention how much distance they cover before getting into the sled…the real guys are in under 5 seconds (total elapsed time).

The real problem here is the solution does not match the problem statement.
I don't know why teachers create such difficult problems; they are unrealistic, to be sure. I'm happy that you and @haruspex were able to identify the problem within the problem.
 
  • #38
I guess they are just trying to keep it interesting, and someone (may not have been the instructor) didn't give it the thought it deserved.

I'm not an academic, but I don't see the prof. solving every problem they pull from a new textbook. They probably let statistics sort it out...enough people bring up an issue, they give it a check.
 
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  • #39
erobz said:
I guess they are just trying to keep it interesting, and someone (may not have been the instructor) didn't give it the thought it deserved.

I'm not an academic, but I don't see the prof. solving every problem they pull from a new textbook. They probably let statistics sort it out...enough people bring up an issue, they give it a check.
I guess so. It's really odd. The problem statement for a different question I posed in the forum yesterday was also discovered to be incorrect. Thanks to @jbriggs444 who gave a detailed explanation of what's wrong with the question and how it is inconsistent with the answer sheet provided. Thank you very much, Erobz and Haruspex. I'm learning a lot in this forum.
 
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