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Car enthusiasts often lower their cars closer to the ground as a matter of style

ID: 1964028 • Letter: C

Question

Car enthusiasts often lower their cars closer to the ground as a matter of style. James wants to lower his car by replacing all four of his original coil springs with new ones offered as an option by the car manufacturer. In science, we try to represent complex systems with simplified representations. The new springs will be identical to the original springs except the force constant will be 5755 00 N/m smaller. When he removes the original springs he discovers that the length of each spring expands from 8 55 cm (its length when installed) to 12 00 cm (its length with no load placed on it). If the mass of the car body is 1355 00 kg, how much lower will the body drop compared to its original height? James was hoping for an overall lowering by 7 cm. Which of the following most closely describes James' results? The change is too drastic, causing the car to be un-driveable James will be mostly pleased with the results The change is so small that James has largely wasted his time and money.

Explanation / Answer

So, k = 1355*9.8/4*(0.12-0.0855) = 96225N/m New k = 90469 N/m New drop = 3.67 cm The change is small. Compared to original height, drop will be 3.67 - 3.45 = 0.22 cm