The expression Ugrav = mgh is an approximation is that is only valid near the Earth's surface. The full expression for the gravitational potential energy between two-point masses my, my separated by distance r is: Gm₂m₂ Ugrav Here we take U = 0 at r= co. This relation also holds for spheres if we use the distance between centers. Repeat the calculation for the change in potential energy of the falling 25 kg mass with the full gravitational potential energy expression. You will want to keep six digits of precision in your calculation. Mg = 5.97 x 1024 kg, R = 6,370 km. Compare your result for AU with the full expression for the gravitational potential energy with your answers for AU from the previous page using Umgh. When can you use the approximation Ugrar = mgh with g = 9.8 m/s²? Choose all correct answers. • If the initial point is near the Earth's surface - the final point can be anywhere. • If the final point is near the Earth's surface - the initial point can be anywhere. • Only if both the initial and final points are near the Earth's surface. • Pretty much never because you don't let approximations. Anytime you want since you don't care whether your satellite will reach orbit or crash.

The expression Ugrav = mgh is an approximation is that is only valid near the Earth's surface. The full expression for the gravitational potential energy between two-point masses my, my separated by distance r is: Gm₂m₂ Ugrav Here we take U = 0 at r= co. This relation also holds for spheres if we use the distance between centers. Repeat the calculation for the change in potential energy of the falling 25 kg mass with the full gravitational potential energy expression. You will want to keep six digits of precision in your calculation. Mg = 5.97 x 1024 kg, R = 6,370 km. Compare your result for AU with the full expression for the gravitational potential energy with your answers for AU from the previous page using Umgh. When can you use the approximation Ugrar = mgh with g = 9.8 m/s²? Choose all correct answers. • If the initial point is near the Earth's surface - the final point can be anywhere. • If the final point is near the Earth's surface - the initial point can be anywhere. • Only if both the initial and final points are near the Earth's surface. • Pretty much never because you don't let approximations. Anytime you want since you don't care whether your satellite will reach orbit or crash.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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