The body of a 1300 Kg car is supported by four (4) springs. The people in the car have a combined mass of 300 Kg. When driven over a pothole in the road, the car vibrates with a period of 0.75 seconds in a manner that approximates simple harmonic motion. Find the spring constant of a single (1) spring.

The spring constant for a single spring is 28073.5 N/m

Explanation:

First if we assume the vibration of the approximates simple harmonic motion, the to each of the springs we can associate a natural frequency of vibration that is defined for a simple spring as:

(1)

with k the spring constant and m the mass attached to the spring

Natural frequency is related with the period (T) of the oscillation as follows:

(2)

We can equate (1) and (2):

solving for k:

(3)

k is the spring constant for a single spring, if we assume the weight of the car and the people is uniformly distributed on the four springs, then the mass m is:

Now we have all the values to put on (3):

explanation:

earth's surface is mainly heated by the absorption of infrared radiation from the sun.

evaporation occurs because molecules in liquid water are warmed ( usually by the sun) and vibrate quicker, becoming less dense and rise.

condensation occurs because molecules in water vapor are cooled and therefore vibrate more slowly thus becoming more dense and eventually fall to earth.

lines of equal barometric pressure on a weather map are called: isobars : lines of equal temp on a weather map are called: isotherms.​

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