Acceleration of an object given forces

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Homework Help Overview

The problem involves calculating the new acceleration of an 85 kg tobbogan that transitions from a frictionless surface to a concrete surface with friction. The original acceleration is given, and the effect of friction is to be considered in determining the new acceleration.

Discussion Character

  • Mixed

Approaches and Questions Raised

  • Participants discuss the calculation of net force by subtracting the force of friction from the applied force. There are questions regarding the accuracy of the answer key and the potential for rounding errors in the calculations.

Discussion Status

Some participants have confirmed the arithmetic of the original poster's calculations, while others suggest that the answer key may contain a typo. There is ongoing exploration of the original question's wording and its implications for the calculations.

Contextual Notes

Participants note the importance of quoting the original question accurately to avoid misinterpretation and potential errors in subsequent calculations. There is mention of the merging of two parts of the question, which may have introduced confusion.

Zack K
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Homework Statement


An 85 kg tobbogan that was originally accelerating at 3.0 m/s2 on frictionless snow hits a bare patch of concrete that exerts a force of friction on the sled of 180 N, what will the new acceleration be?

Homework Equations


F=ma

The Attempt at a Solution


Ok so this was originally a 2 part question but I merged it into one. I already calculated the applied force of the tobbogan on frictionless snow which is 255 N east. Now I have to find its acceleration when it hits the concrete. So I got the Fnet by subtracting the applied force by the force of friction. 255-180= 75 N east. So now I do a=F/m. So the acceleration by my understanding should be 75/85 which is 0.88 m/s2. But the answer sheet says that it is 0.94 m/s2.
 
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Your method and aithmetic seem correct. This may be a typo in the answer key.

In the future, please quote the question exactly as stated without making any changes. Many times we get questions from students that have misinterpreted the question.
 
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Zack K said:
225-180= 75 N
=45N not that it helps.

I suggest you post the question word for word in case there is something you missed when you merged it into one question.
 
CWatters asked for the original unmerged question. You seem to have just reposted your merged version.
In particular, if any of the input numbers you quote in the merged version are actually results calculated for the first part of the question, they may contain rounding errors that become significant in the second stage.
 
CWatters said:
=45N not that it helps.

I suggest you post the question word for word in case there is something you missed when you merged it into one question.
225
haruspex said:
CWatters asked for the original unmerged question. You seem to have just reposted your merged version.
In particular, if any of the input numbers you quote in the merged version are actually results calculated for the first part of the question, they may contain rounding errors that become significant in the second stage.
Sorry I accidentally posted that and am trying to delete it. I don't know how to delete. Also the answer I got was a whole number. No rounding was required
 
No problem. I didn't notice that 3*85 is 255 not 225.
 
Thanks guys for the help. I'm assuming that the answer key had a typo.
 
Zack K said:
Sorry I accidentally posted that and am trying to delete it.
You cannot. Please use the report feature if this happens and a mentor can delete the post for you as I have done.
 

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