Answer :
The gravitational acceleration on the planet Y will be 59.52 m/[tex]s^{2}[/tex].
Given,
Gravitational potential energy, [tex]P_{E}[/tex] = 352 J
Mass of an object, m = 8.27 kg
Lifted to the height, R = 15.43 m
Gravitational potential energy at the height R can be calculated as:
[tex]P_{E}[/tex] = - [tex]\frac{GMm}{r}[/tex]
As GM = gR^2
Potential energy will be -mgR
and for r = R, Potential energy will be - (mgR)/2
m = mass of the object (8.27 kg)
So, [tex]P_{E}[/tex] = - (mgR)/2
Now to calculate g (gravitational acceleration), g =-([tex]P_{E}[/tex]×2)/mR
=(-352×2)/8.27×1.43
g = 59.52 m/[tex]s^{2}[/tex]
Hence, gravitational acceleration on the planet Y will be 59.52 m/[tex]s^{2}[/tex].
To know more about gravitational potential energy here:
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