Purchase Solution

# Find Gravity Field of a Planet and Orbital Speed of a Spacecraft

Not what you're looking for?

A cloud of dust in space originally occupies volume V= 3.5 x 10^26 m^3 whose average density D= .0085 kg/m^3. Over many billions of years it contracts to form a uniform spherical planet with radius r=5.5 x 10^6 m.
Part a. Find the gravity field, g, at the surface of the planet.
Part b. Find the orbital speed v, of a spacecraft in circular orbit, at height h= 80900 meters above the surface of the planet.

##### Solution Summary

The solution finds the gravity of a planet and orbital speed of a spacecraft at a known height above it.

##### Solution Preview

Part a.
Step 1. Since the total mass M, is the average density times the volume, we can write:
(1) M= D V
You should substitute knowns to find M= 2.975 x 10^24 kg.
Step 2. The gravity field on the surface of a spherical planet is expressed ...

##### Classical Mechanics

This quiz is designed to test and improve your knowledge on Classical Mechanics.

##### Introduction to Nanotechnology/Nanomaterials

This quiz is for any area of science. Test yourself to see what knowledge of nanotechnology you have. This content will also make you familiar with basic concepts of nanotechnology.

##### Intro to the Physics Waves

Some short-answer questions involving the basic vocabulary of string, sound, and water waves.