![]() |
Physics problem Please
I know this is math, but I don't know any physics forum, and I've been a member here a long time and like these people. Anyway, I think it is mostly a math problem.
The lower block in the figure is pulled on by a rope with a tension force of 20 N. The coefficient of kinetic friction between the lower block and the surface is 0.30. The coefficient of kinetic friction between the lower block and the upper block is also 0.30. What is the acceleration of the 2.0 kg block? [url]http://jjoshua2.googlepages.com/a.p8.28.jpg[/url] Thats what it looks like. The answer is 1.77 m/s^2 the book says and that is what I got. Now on the test there is an almost identical problem, same picture. [url]http://jjoshua2.googlepages.com/knight_Figure_08_28.jpg[/url] A rope pulls on the lower block in the figure with a tension force of 20 N. The coefficient of kinetic friction between the lower block and the surface is 0.37. The coefficient of kinetic friction between the lower block and the upper block is also 0.37. What is the acceleration of the 2.0 kg block? It says the answer is 2.7, which I guessed since it was the lowest answer, but I think the answer should be lower than 1.77, I calculated about 0.6. I can ask my teacher in a couple days, but she'll probably get mad at me if I bother her with what should be a non-issue. Thanks so much! :smile: |
I tried the problem but I couldn't get 1.77 m s[tex]^{-2}[/tex] for the first question. Looks like I'm having some problem with my physics concepts. Would you mind showing me how you got that figure? Thanks.
|
[CODE](20 - 4*9.8*0.37)/2 = 2.748[/CODE]
Is this not how it should be calculated? :confused: EDIT:- Probably should be (20 - 4*9.8*0.37)/[B]3[/B] = 1.8 |
Applying Newton's 2nd law to the top block we get
T - 9.8*1*0.37 = 1*a For the bottom block we get 20 - T - 9.8*1*0.37 - 9.8*3*0.37 = 2*a Adding the equations gives 20 - 9.8*5*0.37 = 3*a David Sorry to be too explicit for the homework help roolz :) |
20 - 2*9.8*1*mu - 9.8*3*mu = 3*a is how I thought of it, giving 0.62 for the 2nd and 1.77 for the first. So I think the 2nd answer is wrong, right?
|
[quote=Joshua2;149757]20 - 2*9.8*1*mu - 9.8*3*mu = 3*a is how I thought of it, giving 0.62 for the 2nd and 1.77 for the first. So I think the 2nd answer is wrong, right?[/quote]
Your formula agrees with mine. |
Right, I was agreeing with yours. I was saying that the tests answer of 2.7 isn't correct and doesn't agree with the similar problem with mu of 0.3 the answer being 1.77. :)
|
Yes. More friction means lass acceleration.
Note that we are assuming motion in the direction of the 20N force, |
ou could make this "problem" more interesting
by speifying a moment of inertia, radius and frictional torque to the pulley. BTW the problem should have specified g (which we have been taking as 9,8 m/s^2) David |
[QUOTE=Joshua2;149704]I know this is math, but I don't know any physics forum[/QUOTE]
Ever tried [URL="http://www.physicsforums.com"]http://www.physicsforums.com[/URL]? |
All times are UTC. The time now is 05:09. |
Powered by vBulletin® Version 3.8.11
Copyright ©2000 - 2021, Jelsoft Enterprises Ltd.