Posted by **Robert** on Monday, December 13, 2010 at 1:11am.

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?

- Physics -
**Robert**, Monday, December 13, 2010 at 1:13am
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?

- Physics -
**drwls**, Monday, December 13, 2010 at 2:55am
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

- Physics -
**Robert**, Monday, December 13, 2010 at 6:20pm
Thank you!

## Answer This Question

## Related Questions

- physics - A 1175 kg car carrying four 82 kg people travels over a rough "...
- Physics - A car with a total mass of 1800kg (including passengers) is driving ...
- physics - Four people, each with a mass of 72.7 kg, are in a car with a mass of ...
- physics - I tried doing this problem but couldn't get the right answer. I don't ...
- physics - A compact car has a mass of 1150 kg. Assume that the car has one ...
- Physics - A compact car has a mass of 1400kg. Assume that the car has one spring...
- PHYSICS HELP! - A compact car has a mass of 1400kg. Assume that the car has one ...
- Physics - The body of a 1269 kg car is supported on a frame by four springs. The...
- physics - The body of a 1285 kg car is supported on a frame by four springs. The...
- Physics - The body of a 1297 kg car is supported on a frame by four springs. The...

More Related Questions