Question

@Abhisar
The mass of Saturn is . What is the orbital speed of an ice particle that orbits Saturn at a distance of 102,000 km from the planet's center? Note: The constant of universal gravity (G) equals 6.674 × 10-11 N · m2/kg2.

13.8 km/s
19.3 km/s
1.93 km/s
27.5 km/s

Mass should be 5.67*10^26kg

Answer 1

Equate centripetal force with gravitational force.

Answer 2

There's no mass to get gravitational force

Answer 3

mass of particle will get cancelled and u have mass of saturn

Answer 4

What

Answer 5

Gmp/r^2=pv^2/r where p= mass of particle

Answer 6

\(\color{blue}{\text{Originally Posted by}}\) @Abhisar
\(\huge\sf \frac{\cancel mV^2}{r}= \frac{G\cancel mM}{r^2}\)
\(\color{blue}{\text{End of Quote}}\)

Answer 7

@abhisar which mass do I use Saturn

Answer 8

What is this 5.67*10^26kg ?

Answer 9

Saturn's mass

Answer 10

What do you have to find out ?

Answer 11

The particle's velocity

Answer 12

Good, then take M=5.67*10^26kg and find V

Answer 13

Is r 102000

Answer 14

yep, convert it into metres.

Answer 15

I got v^2/r equals 3.64 now what

Answer 16

I got 19268 m/s

Answer 17

Is that 19.3 or 1.93km/s

Answer 18

\(\huge\sf \frac{\cancel mV^2}{r}= \frac{G\cancel mM}{r^2}\)

---> \(\huge\sf V^2= \frac{GM}{r}\)

Answer 19

I think its 19.3km/s

Answer 20

Is that right?

Answer 21

I am getting 3.7 * 10^9 m/s

Answer 22

That's not a possible answer though. When I did it gm/r^2 and did v/r without cancelling out the r its 19268m/s but its 3.9*10^9 when you cancel the r

Answer 23

I mean 3.7

Answer 24

yes u will have to cancel r !

Answer 25

V^2=GM/r

Answer 26

I don't know then maybe they screwed up the question

Answer 27

Gonna put up another question

Answer 28

u didn't got ?

Answer 29

\(\color{blue}{\text{Originally Posted by}}\) @Abhisar
\(\huge\sf \frac{\cancel mV^2}{\cancel r}= \frac{G\cancel mM}{r\cancel{^2}}\)


---> \(\huge\sf V^2= \frac{GM}{r}\)
\(\color{blue}{\text{End of Quote}}\)

Answer 30

I just put 19.3 bc 3.7*10^9 isn't an option