How Does Gravity Affect Projectile Distance on the Moon Compared to Earth?

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Homework Statement



A stone is thrown with an initial velocity 5m/s such that it covers maximum possible horizontal distance RE on the surface of the Earth. The same stone is thrown with same initial velocity by a person standing on the moon, making an angle of 150 with the surface. given that acceleration due to gravity on Earth's surface is g=9.8m/s2 and that on moon's surface is gm=1.6m/s2, the horizontal distnace it covers on the moon is
a) 0.326RE
b) 0.326/RE
c) 3.06RE
d) -0.629RE

Homework Equations



RE=u2sin2θ/g

The Attempt at a Solution



RE=u2/2ge
so u2=2geRE
Now, RM=u2sin215/gm
substitute u2 in RM
therefore RM=2geRE(0.067)/1.6
after solving I get RM=RE(0.82)
I know I'm missing the mark due to some stupid mistake somewhere, could you please point it out?
 
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Got it. I got the range formula wrong. the answer is c)
 
nice save :)
 

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