A community for students.
Here's the question you clicked on:
 0 viewing
wcaprar
 4 years ago
An object of 180kg is sliding at a velocity of 3.78m/s. The object has a coefficient of kinetic friction of .70 as it slides. How far does the object slide?
wcaprar
 4 years ago
An object of 180kg is sliding at a velocity of 3.78m/s. The object has a coefficient of kinetic friction of .70 as it slides. How far does the object slide?

This Question is Closed

fewscrewsmissing
 4 years ago
Best ResponseYou've already chosen the best response.1The kinetic force of friction is equal to the product of the normal force and the kinetic coefficient of friction, or mg*μk. This allows you to calculate the acceleration (from F=ma) and the distance from basic kinematic equations: \[\Large \begin{array}{l} u = 3.78\,{\rm{m}}{{\rm{s}}^{  1}}\\ m = 180\,{\rm{kg}}\\ n = mg = 180 \times 9.81 = 1765.8\,{\rm{N}}\\ {\mu _k} = 0.70\\ {f_k} = {\mu _k}n = 0.70 \times 1765.8 = 1236.06\,{\rm{N}}\\ F = ma\\ a = \frac{F}{m} = \frac{{1236.06}}{{180}} = 6.867\,{\rm{m}}{{\rm{s}}^{  2}}\\ {v^2} = {u^2} + 2as\\ 0 = {3.78^2} + 2 \times 6.867 \times s\\ {3.78^2} =  2 \times 6.867 \times s\\ s = \frac{{{{3.78}^2}}}{{2 \times 6.867}} = 1.04\,{\rm{m}} \end{array}\] It is very late and I am in the middle of exams so I may have misplaced a digit or two, but the concept's there =)

wcaprar
 4 years ago
Best ResponseYou've already chosen the best response.0I am such an idiot! Lol! I have been staring at F=ma and thinking, I don't know the force and I need to find an acceleration... Where do I put force of friction?! Haha! Thanks, you really cleared it up

fewscrewsmissing
 4 years ago
Best ResponseYou've already chosen the best response.1Haha it's alright, physics isn't one of those things that necessarily follows common sense or common thinking, the concepts have to be learnt. I'm sure I sat there looking at many a similar problem before I knew how to do it too :P
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.