What is the Mass of a Box in a Car's Trunk Based on Rear Shock Compression?

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SUMMARY

The discussion focuses on calculating the mass of a box placed in a car's trunk based on the compression of the rear shock absorbers, which are treated as springs. Given a spring constant of 35,000 N/m and a compression distance of 7.00 cm, the mass can be determined using Hooke's Law and the acceleration due to gravity (g = 9.80 m/s²). The effective force exerted by the compressed springs equals the weight of the box, allowing for a straightforward calculation of its mass.

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Physics students, automotive engineers, and anyone interested in the mechanics of vehicle suspension systems will benefit from this discussion.

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Homework Statement



When a box of unknown mass is placed into a trunk of a car, both rear shocks are compressed a distance of 7.00cm. If we assume the two rear shocks are made from springs, each with a spring constant of 35,000.00N/m, what is the mass of the box? (Assume g = 9.80m/s2).


The Attempt at a Solution



I don't even understand the problem
 
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"Shock" = http://en.wikipedia.org/wiki/Shock_absorber" . Just think of them as being vertically oriented springs with the mass placed right on top of them.
 
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The car is mounted to the wheels by way of springs. Actually it's springs in parallel with dampers that add friction so the car doesn't keep bouncing up and down indefinitely after hitting a bump. The combination is called a "shock absorber" for obvious reasons. In short form, "shocks". In modern parlance we tend to refer to the damper as the shock and call the spring a spring... But for purposes of this question, the shocks are springs. Does that help? :smile:

The problem is saying that when a heavy box is placed in the rear of the car, the springs at the back are compressed by 7cm. Have fun!
 
Last edited:

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