# Physics

A 1125 kg car carrying four 80 kg people travels over a rough "washboard" dirt road with corrugations 4.0 m apart which causes the car to bounce on its spring suspension. The car bounces with maximum amplitude when its speed is 17 km/h. The car now stops, and the four people get out. By how much does the car body rise on its suspension owing to this decrease in weight?

1. 👍 0
2. 👎 0
3. 👁 674
1. Can't figure it out. Does it have something to do with finding w?
w=2pi/T = square root of k/m but I don't have K or T?

1. 👍 0
2. 👎 0
posted by Robert
2. Use the information provided to get the natural (and resonant) frequency of the suspension system with a total mass of M = 1205 kg. From that you can derive the spring constant, k.

f = [1/(2 pi)] sqrt(k/M)

The natural frequency will be the rate at which the car goes over washboard bumps at the resonant (maximum amplitude) condition.

When the people get out, the car body will rise by an amount
(80 kg)(9.8 m/s^2)/k

1. 👍 1
2. 👎 0
posted by drwls
3. Thank you!

1. 👍 1
2. 👎 0
posted by Robert

## Similar Questions

1. ### physics

A 1175 kg car carrying four 82 kg people travels over a rough "washboard" dirt road with corrugations 4.0 m apart which causes the car to bounce on its spring suspension. The car bounces with maximum amplitude when its speed is 24

asked by johnny on December 11, 2008
2. ### Math

A semi-truck travels on a paved road for 2 hours at an average speed of 20 miles per hour faster than it travels on a dirt road. The time spent on the dirt road is 3 hours. If the entire trip is 200 miles, how fast is the truck

asked by Leigh on February 12, 2010
3. ### Physics

A car with a total mass of 1800kg (including passengers) is driving down a washboard road with bumps spaced 5.0m apart. The ride is roughest—that is, the car bounces up and down with the maximum amplitude—when the car is

asked by Anonymous on April 12, 2015
4. ### Physics

A car of mass 1000kg travels with a velocity 45km/h on a rough road and it is brought to a rest after 10s. What is the force exerted on the car?

5. ### Physics

James Bond and the ever present bond girl are on a dirt bike escaping from a car load of bad guys. If we have the following conditions: James Bond’s mass is 84 Kg The Bond Girl is 48Kg The Dirt Bike’s mass is 113.6 Kg The

asked by Larry on December 8, 2015
6. ### Language Arts

I need help with 2 questions.. Im not very good at grammar..... XD im sure I have mistakes in this. 1) Which sentence contains a coordinating conjunction? A: Although the road was rough, we could drive on it. B: We drove along the

asked by MrKaleChips on January 25, 2018
7. ### MATH HELP ASAP

Please Help!! Louis is planning to mow a rectangular yard that is 20 feet longer than it wide. He wants to find its width if its area is 1125 square feet. Which equation models this problem? A. 20w2 = 1125 B. w2 + 20w = 1125 C. w2

asked by Skye on May 19, 2014
8. ### physics

which of the following is there no net work? A car accelerates down a hill. A car travels at constant speed on a flat road. A car decelerates on a flat road. A car decelerates as it travels up a hill. I say its the first one

asked by Kate on August 6, 2011
9. ### Physics

An 893 kg car passes over a bump in a road that follows the arc of a circle of radius 14.3 meters. A) What force does the road exert on the car as the car passes the highest point of the bump if the car travels 7.53 m/s. B) What

asked by Ryan on December 4, 2011
10. ### physics

a car of the mass m kg travels on a straight,level road. the driving force of the engine is 4000N and the total resistance due to air friction and tires on the road is 300N. if the car accelerates at 3m/s2 ,what is the mass m of

asked by cari on April 8, 2015

More Similar Questions