In this problem, you will try to use proportionality, instead of direct calculation, to scale the Earth values of g and weight to those appropriate for another planet. Earth has a mass of 1 Earth mass, a radius of 1 Earth radius, and a surface gravity of 1g = 9.8 m/s². If your mass is 76 kg, you would weigh 744 Newtons. The mass of HD34445 f is 37.9 Earth masses, and it's radius is 6.859 Earth radii. Look at the surface gravity formula. Let's consider this in parts. If ONLY the mass changed, the surface gravity of HD34445 f would be a times that of Earth. If ONLY the radius changed, the surface gravity of HD34445 f would be times that of Earth. Combining the two factors, the surface gravity of must be times that of Earth. What would your weight be on HD34445 f, if your weight is 744 on Earth? Newtons.
In this problem, you will try to use proportionality, instead of direct calculation, to scale the Earth values of g and weight to those appropriate for another planet. Earth has a mass of 1 Earth mass, a radius of 1 Earth radius, and a surface gravity of 1g = 9.8 m/s². If your mass is 76 kg, you would weigh 744 Newtons. The mass of HD34445 f is 37.9 Earth masses, and it's radius is 6.859 Earth radii. Look at the surface gravity formula. Let's consider this in parts. If ONLY the mass changed, the surface gravity of HD34445 f would be a times that of Earth. If ONLY the radius changed, the surface gravity of HD34445 f would be times that of Earth. Combining the two factors, the surface gravity of must be times that of Earth. What would your weight be on HD34445 f, if your weight is 744 on Earth? Newtons.
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