Final answer:
A woman with a mass of 64.0 kg has a weight of 627.2 Newtons on Earth, calculated using the formula w = mg, with g being the acceleration due to gravity on Earth.
Step-by-step explanation:
The question asks about the weight of a woman with a given mass on Earth. Weight is the force due to gravity acting on a mass. Using the formula for weight (w = mg), we can calculate the woman's weight by multiplying her mass by the acceleration due to gravity (g), which is 9.80 m/s² on Earth.
In this case, the woman's mass is 64.0 kg. Therefore, her weight on Earth would be:
w = mg = (64.0 kg)(9.80 m/s²) = 627.2 N.
So, the woman's weight on Earth is 627.2 Newtons.