Physics Question Need Help ASAP
Favorites|Homepage
Subscriptions | sitemap
HOME > Physics > Physics Question Need Help ASAP

Physics Question Need Help ASAP

[From: ] [author: ] [Date: 11-05-26] [Hit: ]
at height h = 2.0 m. How far horizontally from point A does the ball hit the floor?-To find where the ball lands, we need to know its speed as it leaves the track (using conservation of energy).v = √g(H - h) / 0.......
A solid ball rolls smoothly from rest (starting at height H = 8.0 m) until it leaves the horizontal section at the end of the track, at height h = 2.0 m. How far horizontally from point A does the ball hit the floor?

-
To find where the ball lands, we need to know its speed as it leaves the track (using conservation of energy).

Ki + Ui = Kf + Uf

where

Ki = initial kinetic energy = 0
Kf = final kinetic energy = K(translation) + K(rotation)
Ui = initial potential energy = mgH
Uf = final potential energy = mgh

Ki + Ui = Kf + Uf
0 + mgH = [K(translation) + K(rotation)] + mgH
0 + mgH = [(1/2 mv^2) + (1/2 I ω^2)] + mgH
0 + mgH = [(1/2 mv^2) + (1/2)(2/5 mR^2)(v^2 / R^2)] + mgH
0 + mgH = [(1/2 mv^2) + (1/5 mv^2)] + mgH
0 + mgH = 7/10 mv^2 + mgH
gH = 7/10 v^2 + gH
v^2 = gH - gh / 0 7
v = √g(H - h) / 0.7
v = √(9.8)(8 - 2) / 0.7
v = 9.17 m / s


To find the horizontal distance, we first need to find the value of "t" and then solve for x, using the equations for one dimensional motion:

h = 1/2 g t^2
2.0 = 1/2 (9.8) t^2
t^2 = 0.408
t = 0.64 s


Finally,

x = v t
x = (9.17)(0.64)
x = 5.86 m


So, the the ball hits the floor 5.86 m horizontally from point A.


Hope this helps...good luck!
1
keywords: ASAP,Help,Need,Question,Physics,Physics Question Need Help ASAP
New
Hot
© 2008-2010 http://www.science-mathematics.com . Program by zplan cms. Theme by wukong .