Yes, 86.2 N sounds like a more accurate answer. Great job on your solution!

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To accelerate a 15 kg crate at 3.0 m/s² with a coefficient of friction of 0.28, the calculated force required is 81.2 N. However, after some discussion, a participant suggested that the correct force should actually be 86.2 N, indicating a potential error in the initial calculation. The confusion arose from a miscalculation involving the frictional force. The revised calculation, which includes the correct frictional force, leads to the conclusion that 86.2 N is the more accurate answer. Confirmation of this final value is sought from others in the discussion.
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Homework Statement



A 15 kg crate rests on the floor. The coefficient of friction between the crate and the floor is 0.28. How much horizontal force is needed to accelerate the crate at 3.0 m/s^2?


Homework Equations



Fnet=ma

The Attempt at a Solution


m=15 kg
F-f=ma
F-MN=ma
F-Mmg=ma
F=ma+Mmg
F=15*3+.38*15*9.8
F=81.16 N.
For a final rounded answer of: F=81.2 N.

This answer seems correct to me, could someone please confirm?

Thanks! :smile:
 
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Medgirl314 said:

Homework Statement



A 15 kg crate rests on the floor. The coefficient of friction between the crate and the floor is 0.28. How much horizontal force is needed to accelerate the crate at 3.0 m/s^2?


Homework Equations



Fnet=ma

The Attempt at a Solution


m=15 kg
F-f=ma
F-MN=ma
F-Mmg=ma
F=ma+Mmg
F=15*3+.38*15*9.8 (0.28 is the μ in the prob. statement)
F=81.16 N.
For a final rounded answer of: F=81.2 N.

This answer seems correct to me, could someone please confirm?

Thanks! :smile:

I don't get your result, even with μ = 0.28. Try your calculator again.
 
Oops, I thought I corrected that, sorry! Weird, I somehow mixed up the digits. Does 86.16, rounded to 86.2, sound better?

Thanks!
 
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