Calculating Minimum Work for a Car on an Incline with Friction

In summary, the conversation revolved around finding the minimum work needed to push a 1770 kg car 346 m up a 16.2 deg incline. The initial answer without friction was 1670000 J, but the question then asked for the minimum work needed if the coefficient of friction is 0.25. The suggested equations to use were Ff=µFN and FN = 17346 cos 16.2. The discussion also touched on understanding the nature of dynamic friction and using equations that relate force and work (energy).
  • #1
coffeecake
2
0

Homework Statement



What is the minimum work needed to push a 1770 kg car 346 m up a 16.2 deg incline?
Without friction, I got the the answer of 1670000 J.

What is the minimum work needed if the coefficient of friction is 0.25?

Homework Equations

The Attempt at a Solution



Ff=µFN

FN = 17346 cos 16.2
FN = 16657 N
Ff = .25 * 16657 = 4164.25 N

then, sin16.2 * 17346 = 4839 N

add them? subtract? or is it all completely wrong?
 
Last edited:
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  • #2
Hello coffeecake,

Try to at least give us your best effort on describing how you've thought through what the steps might be. We're not supposed to offer help unless you've shown that you've given the problem some effort. Things that might be useful in your response: What's the nature dynamic friction? How do you calculate the forces involved in dynamic friction. Can you think of any equations that relate force and work (force and energy)?
 

What is "Finding Minimum Work"?

"Finding Minimum Work" is a scientific concept that involves determining the minimum amount of work required to achieve a specific outcome or goal. This can be applied in various fields such as physics, engineering, and economics.

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Finding the minimum work required can help optimize processes and increase efficiency. It can also help save time and resources by identifying the most efficient way to achieve a desired result.

What factors are considered when finding the minimum work?

The factors that are typically considered when finding the minimum work include the initial and final states of the system, the forces or energy involved, and any constraints or limitations.

What techniques are used to find the minimum work?

Some common techniques used to find the minimum work include the use of calculus, mathematical optimization algorithms, and computer simulations. The specific technique used will depend on the complexity of the problem and the available resources.

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Yes, "Finding Minimum Work" can be applied to various real-world situations such as designing efficient machines, determining the most cost-effective production process, and optimizing energy usage in buildings and transportation. It is a valuable tool for problem-solving and decision-making in many industries.

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