this problem, you will try to use weight to those appropriate for another planet. nality, instead of direct calculation, to scale the Earth values of g 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 84 kg, you would weigh 822 Newtons. The mass of HIP 86221 b is 225.658 Earth masses, and it's radius is 13.988 Earth radii. Look at the surface gravity formula. Let's consider this in parts. If ONLY the mass changed, the surface gravity of HIP 86221 b would be a times that of Earth. If ONLY the radius changed, the surface gravity of HIP 86221 b 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 HIP 86221 b, if your weight is 822 on Earth?

Applications and Investigations in Earth Science (9th Edition)
9th Edition
ISBN:9780134746241
Author:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
Publisher:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
Chapter1: The Study Of Minerals
Section: Chapter Questions
Problem 1LR
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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
84 kg, you would weigh 822 Newtons.
The mass of HIP 86221 b is 225.658 Earth masses, and it's radius is 13.988 Earth radii.
Look at the surface gravity formula. Let's consider this in parts.
If ONLY the mass changed, the surface gravity of HIP 86221 b would be a
times that of Earth.
If ONLY the radius changed, the surface gravity of HIP 86221 b 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 HIP 86221 b, if your weight is 822 on Earth?
Newtons.
Note: If your answer requires scientific notation, remember that OWL uses "e" notation: 1.1 x 105 is 1.1e5 to OWL.
Transcribed Image Text: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 84 kg, you would weigh 822 Newtons. The mass of HIP 86221 b is 225.658 Earth masses, and it's radius is 13.988 Earth radii. Look at the surface gravity formula. Let's consider this in parts. If ONLY the mass changed, the surface gravity of HIP 86221 b would be a times that of Earth. If ONLY the radius changed, the surface gravity of HIP 86221 b 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 HIP 86221 b, if your weight is 822 on Earth? Newtons. Note: If your answer requires scientific notation, remember that OWL uses "e" notation: 1.1 x 105 is 1.1e5 to OWL.
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