To find the acceleration due to gravity on Mars, we can use the law of universal gravitation:

F = Gm₁m₂/r²

Where:

• F is the force between two objects
• G is the universal gravitational constant (6.67 x 10^-11 Nm²/kg²)
• m₁ and m₂ are the masses of the two objects
• r is the distance between the two objects

Since we know the radius and mass of Mars compared to Earth, we can set up the following equation:

F_Earth = F

Using the given information, we can plug in the values and solve for the acceleration due to gravity on Mars:

9.8 = 6.67 x 10^-11 x (0.11 x M_Earth)/ (0.53 x R_Earth)²

Therefore, the acceleration due to gravity on Mars is 3.86 m/s².