Answer:
The gravity on the surface of the planet X will be equal to the gravity on the surface of the Earth.
Explanation:
The gravity (g) on the surface of a planet can be calculated using an expression derived from Newton's law of universal gravitation.
[tex]g=\frac{G.M}{r^{2} }[/tex]
where,
G: gravitational constant
M: mass of the planet
r: radius of the planet
The gravity on the surface of the Earth is:
[tex]gE=\frac{G.M_{E}}{r_{E}^{2} }[/tex]
For the planet X,
mX = 1/4 mE
rX = 1/2 mE
The gravity on the surface of the planet X is:
[tex]gX=\frac{G.M_{X}}{r_{X}^{2} }=\frac{G.1/4M_{E}}{(1/2r_{E})^{2} } =\frac{G.M_{E}}{r_{E}^{2} }=gE[/tex]
The gravity on the surface of the planet X will be equal to the gravity on the surface of the Earth.
