the moon takes 27.3 days (2.36x10^6s) to orbit the earth . Calculate its distance from the earth . Take the mass of the earth to be 5.975x10^24kg.

Use the set formula T2=(4Pi^2/GM)R^3 and rearrange for r^3 to give
r3= T2GM/ 4Pi2
then insert values : r3 = (2.36x106)2 x 6.67x10-11x 5.975x1024/ 4PI2 = 5.62....x1025
Then take the cube root of R3 to give 3.830....x108. Question is in 3 sig fig so also give answer in 3 sig fig- so r= 3.83x108m (to 3 s.f) - which is the distance between the centre of the Earth and the centre of the Moon.

Related Physics A Level answers

All answers ▸

What are Newton's three laws?


How can I measure the orbital period of a satellite around Earth?


What happens to the pressure inside a gas-filled ball when the temperature is increased? Explain your answer, stating the assumption made.


What is the main evidence for the Big Bang theory?


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences