(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Mars travels around the Sun in 1.88 (Earth) years, in an approximately circular orbit with a radius of 2.28 x 10^8 km

Determine

a) the orbital speed of Mars (relative to the Sun)

b) the mass of the Sun

2. Relevant equations

acceleration centripetal = 4(pi^2)(r) / (T^2)

universal attraction = (G)(m1)(m2) / (radius)^2

3. The attempt at a solution

Given:

T = 1.88 years = 59287680s = 5.9x10^7s

r = 2.28 x 10^8km = 2.28 x 10^11m

Orbital speed means centripetal acceleration yes?

Then,

acceleration centripetal = 4(pi^2)(r) / (T^2)

acceleration centripetal = 4(9.869604401)(2.28x10^11m) / (34.81x10^14s)

acceleration centripetal = 90.01x10^11m / 34.81x10^14s

acceleration centripetal = 2.59x10^-3m/s = 0.00259m/s

How come its so slow?

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# Centripetal motion and universal gravitation question: Mars and Sun question

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