How Do I Solve This Dynamics Mechanics Equation?

[darkmagic]

Homework Statement

Can someone teach me on how to solve this problem? This is a dynamics mechanics problem. I tried everything I know but I cannot really get the answer. Please help ASAP.

Homework Equations

The Attempt at a Solution

 

[darkmagic]

Please someone explain to me...

 

[berkeman]

Homework Statement

Can someone teach me on how to solve this problem? This is a dynamics mechanics problem. I tried everything I know but I cannot really get the answer. Please help ASAP.

Homework Equations

The Attempt at a Solution

When you say that you've tried everything that you know, what have you tried? What approaches? Why do you think that the section that this problem is from is titled "Work and Energy"?

BTW, I get a different answer than is shown. Are you sure about those numbers?

 

[darkmagic]

it involves the work-energy equation. the answer is from my teacher.

 

[berkeman]

it involves the work-energy equation. the answer is from my teacher.

So what can you tell us about the relationship between work and energy? How do you think it applies to this problem?

If I understand the problem statement, a train car or whaver coasts up a grade with some initial velocity, and they want to know what the final backward velocity will be after it goes up, stops, and accelerates back down the grade. What kind of energy equations would you use to approach this?

 

[darkmagic]

the equation that involves in that problem is summation of XS=1/2 W/g [v² - v_o²]

 

[berkeman]

the equation that involves in that problem is summation of XS=1/2 W/g [v² - v_o²]

Sorry, you're going to have to define the terms in that equation for me. And in defining the terms in your own words, you might just talk yourself to the solution of the problem...

Well, except that I still think the posted answer has a typo in it...