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3 years ago

5

The brakes exert a 1,951 N force on a car weighing 18,985 N and moving at 12 m/s. The car finally stops. How long (in seconds) d

oes the braking force act on the car to bring it to a halt?

1 answer:

nata0808 [166]3 years ago

7 0

Answer:20,000

Explanation:

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The motion of the mass-spring system is represented by the following formula:

$x(t) = A\cdot \cos (\omega \cdot t + \phi)$

Where:

$x(t)$ - Position of the mass with respect to the equilibrium position, measured in centimeters.

$A$ - Amplitude of the mass-spring system, measured in centimeters.

$\omega$ - Angular frequency, measured in radians per second.

$t$ - Time, measured in seconds.

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Where the maximum acceleration of the system is represented by $\omega^{2}\cdot A$ .

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$\omega = \sqrt{\frac{k}{m} }$

Where:

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$m$ - Mass, measured in kilograms.

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$a_{max} = 359.970\,\frac{cm}{s^{2}}$

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