A body with speed v is projected from the surface of the earth(mass M & radius R). Find the maximum distance from the earth that this body reaches before returning back to earth, as a function of the initial speed v, M, R and the gravitational constant G

This question tests the students' understanding on conservation of energy, gravitational potential and algebraic manipulation.The first step is identifying that the principle to use is the conservation of energy:K.E. initial + P.E. intial =K.E. final + P.E. final .When you substitute in the expressions for the energies this becomes: 1/2 m v2 -GMm/R = 1/2 m v2final -GMm/rfinal. Another key step in solving it, is recognising that the maximum height occurs at the point where vfinal =0. The rest is just rearranging so that you have r in terms of v,G,M,R until you reach: r =2GMR/(2GM-Rv2). From this expression, a lot of useful information can be gathered, for example one can derive the escape velocity of a body from earth

Answered by Constantinos V. Physics tutor

1438 Views

See similar Physics A Level tutors

Related Physics A Level answers

All answers ▸

In terms of particles, explain how resistance arises in metal conductors and why does this resistance increases with temperature.


Describe how emission spectra are formed and how they can be used to identify the elemental composition of a star.


How would you calculate the vertical and horizontal components of the velocity of an object with an initial velocity of 15m/s which is travelling upwards at an angle of 30 degrees to the horizontal?


Explain why gas bubbles rise faster through magma as they start to expand. (3)


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