Range of a projectile homework and exercises - MywallpapersMobi

Range of a projectile homework and exercises

403. Forbidden.

You dont have permission to view this page.

https://www.quora.com

Please email [email protected] if you believe this is an error. Please include your IP address in your email.

Stack Exchange Network

Stack Exchange network consists of 174 Q&A communities including Stack Overflow , the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.

Visit Stack Exchange




  1. Log In
    Sign Up

  2. current community


    • Physics

      help
      chat

    • Physics Meta

    your communities

    Sign up or log in to customize your list.

    more stack exchange communities

    company blog

    • Tour

      Start here for a quick overview of the site

    • Help Center

      Detailed answers to any questions you might have

    • Meta

      Discuss the workings and policies of this site

    • About Us

      Learn more about Stack Overflow the company

    • Business

      Learn more about hiring developers or posting ads with us

By using our site, you acknowledge that you have read and understand our Cookie Policy , Privacy Policy , and our Terms of Service .

Physics

Physics Stack Exchange is a question and answer site for active researchers, academics and students of physics. Join them; it only takes a minute:

Sign up

Here’s how it works:


Anybody can ask a question



Anybody can answer



The best answers are voted up and rise to the top

Maximum range in projectile motion (elliptical path)

Ask Question


up vote
3
down vote

favorite

3

Elementary Newtonian mechanics tells us that if a projectile is shot at 45 degrees from the ground, and a downward gravitational field is acting on it, it will follow a parabolic path and achieve maximum range.

But the Earth’s gravitational field rather points radially inward, meaning that the projectile instead follows an elliptical path. What angle from the ground would allow it to achieve maximum range?

homework-and-exercises newtonian-mechanics newtonian-gravity projectile drag

share | cite | improve this question

edited Jun 24 ’16 at 14:06

Qmechanic

100k121791125

asked Jun 24 ’16 at 11:04

giobrach

1419

  • 2

    In true projectile, effect of air resistance is so much more than variation of gravitational field.
    –  lucas
    Jun 24 ’16 at 11:25

  • 1

    Way too true for me. I’ll change the title
    –  giobrach
    Jun 24 ’16 at 11:27

  • 1

    If you want to consider to variation of $g$, then you should consider to curvature of the earth surface too. Because the earth’s surface isn’t flat (horizontal).
    –  lucas
    Jun 24 ’16 at 11:34

  • Interesting question. What attempt(s) have you made to solve it yourself?
    –  sammy gerbil
    Jun 24 ’16 at 12:38

  • 1

    You might want to edit the question to limit the initial velocity to values less than the orbital velocity … if that’s your intent. And that there is no atmosphere, and that the earth is spherical, and that you are at the equator. There are a lot of pendants on this site. 🙂
    –  garyp
    Jun 24 ’16 at 14:06


 | 
show 3 more comments

1 Answer
1

active

oldest

votes


up vote
2
down vote

If we are at the equator on the surface of an atmosphere-free, non-rotating, perfectly spherical planet (no mountains or trees, etc) then the optimal angle should be zero (launch towards the horizon, tangent to the planet’s surface).

This assumes the initial velocity is the orbital speed at the surface of the planet, which is approximately the escape velocity divided by the square root of two. The range is then infinite, assuming by “range” we mean the difference between the place of launch and the place where the projectile hits (it never hits the ground, in this idealized situation). This is based purely on classical mechanics.

If by “range” we mean getting as far as possible from the planet, then the initial velocity needs to be escape velocity so that the projectile escapes from the planet entirely. If the planet is not rotating then I believe the direction of launch does not matter in this case.

share | cite | improve this answer

answered Jun 24 ’16 at 13:58

RiskyScientist

22415

  • Interesting, and arguably a correct analysis, but I think implicit in the question is the initial speed being less than orbital speed.
    –  garyp
    Jun 24 ’16 at 14:05

  • Very insightful answer! Just a minor suggestion. Wouldn’t it be perfectly okay even if we are not at the equator – we are anyway assuming perfect sphericity, right?
    –  Dvij Mankad
    Jun 24 ’16 at 14:10

  • @Dvij Yes you are right – good spot, and thanks for your comment! I first started to answer in the general case where there is planetary rotation as well as orbital speed around a home star. But this took away from the clarity so I edited the answer down to this one – guess I forgot to take that bit out about launching from the equator.
    –  RiskyScientist
    Jun 24 ’16 at 14:30

add a comment  | 

Not the answer you’re looking for? Browse other questions tagged homework-and-exercises newtonian-mechanics newtonian-gravity projectile drag or ask your own question .

asked

2 years, 5 months ago

viewed

260 times

active

2 years, 5 months ago

Related

2

Maximum range of a projectile (launched from an elevation)

1

Trajectory of projectile thrown downhill

3

The trajectory of a projectile launched from a hilltop

4

Projectile Motion with Drag

4

Projectile motion maximum distance to origin

0

Maximum range for projectile thrown from a mountain

0

Maximum range of projectile launched from an inclined plane

11

Throwing a Football. Is it truly parabolic?

2

Different versions of Einstein’s equivalence principle

-3

How the range of projectile attain the elliptical path?

Hot Network Questions

  • Alarms on Doors that have Access to a Pool

  • laptop noisy sound – fan or hdd?

  • Would a Moon made of water pose a threat to Earth during eclipses?

  • Linear representation of the free metabelian / 2-step nilpotent profinite groups on 2 generators

  • Did the number of U.S. Food & Drug Administration food safety inspections fall from the 1972 to 2006?

  • Tips on searching with minimal information (United Kingdom)

  • Is legislation NP-complete?

  • Isn’t acknowledging the existence of God, as a state, a contradiction of the separation of Church and State?

  • Why is novelty mandatory for a Ph.D. degree?

  • Univariate or multivariate regression for this project?

  • Debian: cannot remove symlik in /sys/: operation not permitted

  • Why is Carlsen being praised for his tie-break play, when Caruana made several game-losing moves?

  • Short circuit in welding

  • Trigonometry calculations

  • Why no public constructor for Optional in java?

  • How do I resolve package conflicts between Ubuntu and GIMP?

  • Best practice to continue mv

  • Co-authors decided to remove most of my contributions from a Nature paper without my consent

  • Using volatile in embedded C development

  • Why do we get only one frequency as output in oscillators?

  • Dishonest resume?

  • Fantasy book about a seventh daughter kept in the shadows of the seventh son

  • How to deal with anxiety and depression after being kicked out of PhD program?

  • example.com -> typing IP address directly -> does not load the website

more hot questions


question feed

Physics Stack Exchange works best with JavaScript enabled