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7. Each of the coil springs of a car has a spring constant of 25,000 N/m. How much is
each spring compressed if it supports one-forth of the car's 12,000 N weight?

Respuesta :

Answer:

.12 m or 12 cm.

Explanation:

Interesting question.

The car weights 12000 Newtons.

The spring constant = 25000 n/m

Each spring will support (this isn't true, but it is all you have) 1/4 of the weight of the car.

1/4 * 12000 = 3000 N

Now look at the formula

F = k*x

You know F and you know k.

All you need to do is solve for x.

3000N = 25000 N/m * x        Divide by 25000

3000 N / 25000 N/m  = x

3/25 of a meter = x

x = 12 cm.

Each spring should compress 12 cm.

What makes this question really interesting is what happens when the car hits a bump?