Yahoo Answers is shutting down on May 4th, 2021 (Eastern Time) and beginning April 20th, 2021 (Eastern Time) the Yahoo Answers website will be in read-only mode. There will be no changes to other Yahoo properties or services, or your Yahoo account. You can find more information about the Yahoo Answers shutdown and how to download your data on this help page.
Trending News
Physics Help Needed!!!!?
Between the orbits of Mars and Jupiter, several thousand small objects called asteroids move in nearly circular orbits around the Sun. Consider an asteroid that is spherically shaped with radius r and density 2600 kg/m^3 .
A) You find yourself on the surface of this asteroid and throw a baseball at a speed of 24 m/s . If the baseball is to travel around the asteroid in a circular orbit, what is the largest radius asteroid on which you are capable of accomplishing this feat?
B) After you throw the baseball, you turn around and face the opposite direction and catch the baseball. How much time T elapses between your throw and your catch?
1 Answer
- JullyWumLv 79 years agoFavorite Answer
a) Asteroid mass, Ma = V x D .. (4/3)πR³ x 2600 .. Ma = 1.09^4 R³ (kg)
The ball's orbit will be almost the same radius as asteroid (R)
Centripetal force on ball provided by grav attraction ..
mv² / R = G.Ma.m / R²
R = G.Ma / v²
R = G(1.09^4 R³) / v²
R = √(v² / 1.09^4 G) .. √(24² / (1.09^4 x 6.67^-11) .. .. ►R = 2.80^4 m
b) Periodic time T = 2πR / v
T = 2π x 2.80^4 / 24 .. .. ►T = 7.33^3 s (≈ 2 hr)
