Answer :
ANSWERS
A. 3.61 m/s²
B. 24.58 m/s²
C. 3.31 m/s²
EXPLANATION
The gravitational field constant of a planet is given by,
[tex]g=G\cdot\frac{m}{r^2}[/tex]Where m is the mass of the planet, r is the radius of the planet and G is the gravitational constant, 6.67x10⁻¹¹ m³/kg*s².
For each of these planets, we have to replace m and r to find their gravitational field constants.
A. Mars,
[tex]g_{Mars}=6.67\times10^{-11}m^3/kg\cdot s^2\cdot\frac{6.37\times10^{23}\operatorname{kg}}{(3.43\times10^6m)^2}\approx3.61m/s^2[/tex]B. Jupiter,
[tex]g_{Jupiter}=6.67\times10^{-11}m^3/kg\cdot s^2\cdot\frac{1.90\times10^{27}\operatorname{kg}}{(7.18\times10^7m)^2}\approx24.58m/s^2[/tex]C. Mercury,
[tex]g_{Mercury}=6.67\times10^{-11}m^3/kg\cdot s^2\cdot\frac{3.28\times10^{23}\operatorname{kg}}{(2.57\times10^6m)^2}\approx3.31m/s^2[/tex]