PHYSICS HELP! Four people sit in a car. The masses....
Favorites|Homepage
Subscriptions | sitemap
HOME > Physics > PHYSICS HELP! Four people sit in a car. The masses....

PHYSICS HELP! Four people sit in a car. The masses....

[From: ] [author: ] [Date: 11-07-09] [Hit: ]
The cars mass is 1020 kg. When the car drives over a bump, its springs cause an oscillation with a frequency of 2.90 Hz. What would the frequency be if only the 50-kg person were present?Im so lost over this.......
Four people sit in a car. The masses of the people are 50 kg, 57 kg, 63 kg, and 65 kg. The car's mass is 1020 kg. When the car drives over a bump, its springs cause an oscillation with a frequency of 2.90 Hz. What would the frequency be if only the 50-kg person were present?

I'm so lost over this.
Thank for any help

-
Basic equation
k= F/x
F/x = m w^2 ( w is the angular velocity = 2 pi() f or 2Pi()/T)
so if the spring constant k is the same then
w^2 is proportional to 1/m
or w is proportional to sqrt(1/m)

this means that w2/w1 = sqrt(m1/m2)
w2 = w1 * sqrt(m1/m2)

As w and f are proportional then it is just as true that
f2 = f1*sqrt(m1/m2)

now m1 = 1020 +50+57+63+65 = 1255Kg
and m2 = 1070

so f2= 2.90 * sqrt(1255/1070)
= 3.14 Hz
1
keywords: people,Four,car,sit,The,masses,in,PHYSICS,HELP,PHYSICS HELP! Four people sit in a car. The masses....
New
Hot
© 2008-2010 http://www.science-mathematics.com . Program by zplan cms. Theme by wukong .