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

If John was stationary in space at eh same distance fromo the sun as the earth is, a.how much force would teh sun be exeerting on John? b.what would be John's acceleration towards the sun? c.what would be the sun's acceleration toward John??

2. Relevant equations

Mass of John= 50kg

Mass of Sun = 2x10^{30}kg

r=1.5x10^{11}m

T=331536000s

Fg=G*M_{sun}M_{john}/r^{2}

a=4pi^{2}r/T^{2}

F_{s}=force of the sun

F_{j}=force of john

a_{s}=acceleration of sun

a_{j}=acceleration of john

3. The attempt at a solution

a.

Fs=GMsMj/r^{2}

Fs=(6.67X10^{-11})(2x10^{30})(50)/(1.5x10^{11})^{2}

Fs= .2964444444 N

b. aj=4pi^{2}r/T^{2}

aj=4pi^{2}(1.5x10^{11}m)/(31536000s)^{2}

aj= .0059497487m/s^{2}

c. Would I use the same equation as b, with the same T? or is it a different T??

thank you for all helps and comments

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# Homework Help: Circular motion problem

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