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Karo-lina-s [1.5K]
3 years ago
13

A car traveling on the highway at 15 m/s accelerates at 3.0 m/s2 for 5.0 s. What is its final velocity?

Physics
1 answer:
Nataly_w [17]3 years ago
3 0

Answer:

The answer to your question is:  vf = 30 m/s

Explanation:

Data

vo = 15 m/s

a = 3.0 m/s²

t = 5 s

vf = ?

Formula

vf = vo + at

Substitution

vf = 15 + (3)(5)

vf = 15 + 15

vf = 30 m/s

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Where,

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k=1700N/m

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Replacing,

f = \frac{1}{2\pi} \sqrt{\frac{1700}{5.3}}

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PART B) To solve this section it is necessary to apply the concepts related to the conservation of energy both potential (simple harmonic) and kinetic in the spring.

\frac{1}{2}kA^2 = \frac{1}{2}mv^2 + \frac{1}{2} kY^2

Where,

k = Spring constant

m = mass

y = Vertical compression

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This expression is equivalent to,

kA^2 =mV^2 +ky^2

Our values are given as,

k=1700 N/m

V=1.70 m/s

y=0.045m

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Replacing we have,

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Solving for A,

A^2 = \frac{5.3*1.7^2 +1700*(0.045)^2}{1700}

A ^2 = 0.011035

A=0.105 m \approx 10.5 cm

PART C) Finally, the total mechanical energy is given by the equation

E = \frac{1}{2}kA^2

E=\frac{1}{2}1700*(0.105)^2

E= 9.3712 J

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