Circular Motion and Gravitation of asteroid

In summary, the asteroid 243 Ida has a mass of 4.0×10^16 and an average radius of 16 (assuming spherical shape). To calculate the speed needed to put a rock into orbit around the asteroid near its surface, we can use the formula v = 2πR/T. Using the formula A_rad = 4π^2R/T^2, we can also calculate the time it would take for the rock to return and hit the thrower in the back of the head. However, the units of the values (e.g. meters, kilometers, miles) are needed for the calculations to be accurate.
  • #1
valeriex0x
43
0
The asteroid 243 Ida has a mass of about 4.0×1016 and an average radius of about 16 (it’s not spherical, but you can assume it is).

A)Calculate the speed with which you would have to throw a rock to put it into orbit around the asteroid 243 Ida, near the surface. v= ?

B)How long would it take for your rock to return and hit you in the back of the head? t=?


Arad= v^2 / R

v=2 pie R / T

A rad= 4 pie^2 R /T^2

Fnet= m (v^2/R)


My brain is fried trying to figure out these problems since i missed lecture because i was sick. trying to submit this homework that's due in like 2 hours any help will be much appreciated!
 
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  • #2
Units on your values would help. Is the radius 16m? 16km? 16 miles? How about the mass?
 
  • #3
1] You must use the template provided.
2] You must show your attempts at a solution.
 

What is circular motion?

Circular motion is the motion of an object along a circular path, where the object maintains a constant distance from a fixed point.

How does circular motion apply to asteroids?

Asteroids often move in circular orbits around larger celestial bodies, such as planets or stars. This motion is governed by the same principles as other objects in circular motion.

What is the force that keeps asteroids in orbit?

The force of gravity is what keeps asteroids in orbit around larger celestial bodies. This force is proportional to the masses of the objects and inversely proportional to the square of the distance between them.

What is the difference between circular and elliptical orbits?

Circular orbits have a constant distance from the central body, while elliptical orbits have varying distances. Elliptical orbits are also more elongated and have a wider range of velocities compared to circular orbits.

How is the speed of an asteroid in orbit calculated?

The speed of an asteroid in orbit is calculated using the formula v = √(GM/r), where G is the gravitational constant, M is the mass of the central body, and r is the distance between the asteroid and the central body.

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