Question

the orbital velocity of a planet must increase if the orbital radius decreases

Answer 1

true/ false

Answer 2

@Miracrown

Answer 3

@alexis42

Answer 4

\[V= \frac{ 2\pi r }{ T }\]

Answer 5

You can understand the relationship of V and radius

if radius increase, velocity increase. If velocity increase, radius increase

VT/2pi= r

Answer 6

Hope this helped :)

Answer 7

@korosh23 so its true

Answer 8

In my opinion yes, but do more research

Answer 9

\[\frac{mv^2}r = \frac{GMm}{r^2}\]\[\Rightarrow v^2 = \frac{GM}{r}\]This is one way to look at why the statement is true.

Answer 10

so its look true to me

Answer 11

but in that situation, the new formula, by increasing the radius, you decrease the velocity

Answer 12

so yes, if radius decreases, that means velocity increases

Answer 13

Use my formula if you are dealing with Uniform circular motion

Use his formula if you are dealing with planets and orbits

Answer 14

actually i am dealing with orbits so

Answer 15

Then use his formula, but it is good to know both situations :)

Answer 16

Sorry if I confused you at first

Answer 17

ok thnx so it be true

Answer 18

k