A 1500-kg car moving at 25 m/s hits an initially uncompressed horizontal spring with spring constant of 2. 0 ? 106 n/m. What is the maximum compression of the spring? (neglect the mass of the spring. ).

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01-12-2022
Physics

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A 1500-kg car moving at 25 m/s hits an initially uncompressed horizontal spring with spring constant of 2. 0 ? 106 n/m. What is the maximum compression of the spring? (neglect the mass of the spring. ).

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Tutorconsortium315 Tutorconsortium315 · Answer 1 · 2022-12-05T18:32:39+01:00

A 1500-kg car moving around 25 m/s collides with a horizontal spring that is initially uncompressed but has a spring stiffness of 2.0?106 n/m as well as a max compress of x = 0.68 meters.

What is another word for compression?

Compress, constrict, contract, inflate, and shrink are a few words that frequently replace the word compress. While all of these phrases refer to "decreasing in bulk or area," compress indicates squeezing over resistance into a constricted area with a certain shape.

Briefing:

Considering that,

The automobile weighs 1500 kg.

Vehicle speed, v = 25 m/s

spring's spring constant, k=2×10⁶ N/m

Let x be the greatest distance the spring may compress before breaking,

1/2mv²=1/2kx²

x=[tex]\sqrt{mv^{2} /k}[/tex]

x=[tex]\sqrt{1500*25x^{2} /2*10^{6} }[/tex]

x = 0.68 meters

The spring is thereby compressed by 0.68 meters.

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