The weight of an object is a measure of the force of gravity acting on that object. The force of gravity is proportional to the mass of the object and inversely proportional to the square of the distance between the object and the center of the gravitational field.
Since the mass of Mars is 0.11 times the mass of Earth and the radius of Mars is 0.54 times the radius of Earth, the gravitational field on Mars is weaker than the gravitational field on Earth. To calculate the weight of the astronaut on Mars, we need to use the formula for gravitational force:
F = G * m1 * m2 / r^2
where F is the gravitational force, G is the gravitational constant, m1 is the mass of the object being attracted, m2 is the mass of the object providing the gravitational field, and r is the distance between the two objects.
Since the mass of the astronaut is m1 and the mass of Mars is m2, we can plug these values into the formula to find the gravitational force on the astronaut on Mars:
F = (6.67 x 10^-11 N*m^2/kg^2) * (60.0 kg) * (0.11 * 5.97 x 10^24 kg) / (0.54 * 6.371 x 10^6 m)^2
Solving this equation, we find that the weight of the astronaut on Mars is approximately 44.4 N, or about 44.4% of her weight on Earth.