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asambeis [7]
3 years ago
11

A car is rounding a curve that is the arc of a circle with a radius of r . if the car has a constant speed of 10 m/s, and its ac

celeration is 5 m/s2 , what is the radius of the curve?
Physics
1 answer:
aev [14]3 years ago
4 0
The formula to find the radius is R=V^2/A or Radius=Velocity^2/Acceleration so that means
R=V^2/A
10^2/5=R
100/5=R
R=20m
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To solve the problem it is necessary to apply the concepts related to Kepler's third law as well as the calculation of distances in orbits with eccentricities.

Kepler's third law tells us that

T^2 = \frac{4\pi^2}{GM}a^3

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T= Period

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M = Mass of the sun

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The period in years would be given by

T= 1941-550\\T= 1391y(\frac{31536000s}{1y})\\T=4.3866*10^{10}s

PART A) Replacing the values to find a, we have

a^3= \frac{T^2 GM}{4\pi^2}

a^3 = \frac{(4.3866*10^{10})^2(6.67*10^{-11})(1.989*10^{30})}{4\pi^2}

a^3 = 6.46632*10^{39}

a = 1.86303*10^{13}m

Therefore the semimajor axis is 1.86303*10^{13}m

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R = a(1-e)

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In short, Your Answer would be Option D

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