In: Physics
The weight of an astronaut on Earth surface is 950 N. What is the astronaut weight in a satellite orbiting Earth at an altitude of 500km with a speed of 450 m/s? (g=9.8 m/s2 and REarth = 6400 km). Select one: a. 790 N b. 815 N c. 852 N d. 1020 N
First, find the acceleration due to gravity at satellite's altitude.
Consider the satellite
Let's assume that the satellite is in a circular path.
The gravitational force experienced by the satellite at altitude is the same as the weight of the satellite
Radius of the orbit = Radius of earth + Altitude
========================
Weight of the astronaut on Earth,
Mass of the astronaut,
==================
Weight of the astronaut on the satellite,
ANSWER: Option b. 815N
======================