Photo AI

The Global Positioning System (GPS) uses satellites to support navigation on Earth - AQA - A-Level Physics - Question 2 - 2021 - Paper 2

Question icon

Question 2

The-Global-Positioning-System-(GPS)-uses-satellites-to-support-navigation-on-Earth-AQA-A-Level Physics-Question 2-2021-Paper 2.png

The Global Positioning System (GPS) uses satellites to support navigation on Earth. One GPS satellite is in a circular orbit at a height h above the surface of the ... show full transcript

Worked Solution & Example Answer:The Global Positioning System (GPS) uses satellites to support navigation on Earth - AQA - A-Level Physics - Question 2 - 2021 - Paper 2

Step 1

Explain how the linear speed of this satellite compares with the linear speed of the satellite in Question 02.1.

96%

114 rated

Answer

In a higher circular orbit, the linear speed (vv) of the satellite is given by: v=ω(R+h)v = \omega (R + h)

As the orbit increases in radius, the angular speed ω\omega decreases according to: ω=GM(R+h)3\omega = \sqrt{\frac{GM}{(R + h)^3}}

Therefore, although the higher orbit has a larger radius, the decrease in ω\omega leads to a lower linear speed compared to that of the satellite in Question 02.1. Thus, the satellite in a higher orbit travels more slowly than the one in a lower orbit.

Join the A-Level students using SimpleStudy...

97% of Students

Report Improved Results

98% of Students

Recommend to friends

100,000+

Students Supported

1 Million+

Questions answered

;