What Is the Maximum Mass and Weight That Can Be Moved Without Breaking the Wire?

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SUMMARY

The maximum mass and weight that can be moved using a wire without breaking it is determined by the tension limit of the wire and the coefficient of kinetic friction. Given a tension limit of 1000 N and a kinetic friction coefficient of 0.35, the maximum mass that can be dragged is calculated to be approximately 292 kg. Consequently, the weight of the crate, calculated using the formula Weight = Mass x Acceleration due to gravity (9.8 m/s²), results in a maximum weight of approximately 1002 N.

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  • Understanding of Newton's laws of motion
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  • Knowledge of kinetic friction and its coefficient
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Homework Statement


A horizontal wire is used to drag a crate at a constant velocity across a floor where the kinetic coefficient of friction is .35. If the wire will break under tensions exceeding 1000 Nt, find the mass and weight of the largest crate which can be moved. (Need help bad! Been figuring this problem out for almost an hour now!)


Homework Equations


Only one equation teacher gave me is Fs(max)=UsN
Coefficient of Kinetic Friction state on my notes for this example. he made us copy that before class was dismissed and said use it on our h.w., figured 2/3 already.


The Attempt at a Solution



a) For mass: 1000 = (.35)(x)(9.8 m/s(2))
x=292 Nt
b) For Weight: X = (.35)(292 Nt)(9.8 m/s^(2))
X = 1002

I don't even know if this equation helps for this example because its not making sense to me! Can somebody please help! Thank You.
 
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a) You got the first equation right but your answer is in Kg.

b) And the weight should be (mass) X (acceleration of gravity) =

( if I remember my mechanic correctly :)
 

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