Circumferential 2367
Recently, two spacecraft successfully landed on two small planets labeled α and β. Both ships were equipped with sensitive sensors that measured the basic parameters of the asteroids. The sensors found that the day α took six times longer on planet α than on planet β, and they also found that the radius α of the planet α was four times that of the planet β.
After a while, however, both sensors broke due to excessive centrifugal force acting on them. Find out which of the sensors was subjected to the greater centrifugal force if you know that the sensor measuring on planet α weighed mα = 9 kg, while the sensor on the other planet weighed mβ = 1 kg. The relationship applies to the centrifugal force on the surface of any planet.
Fo = mv2 / r,
where m is the mass of the considered sensor, v is the circumferential velocity of the planet given by its rotation, and r is the radius of the given planet.
Result
After a while, however, both sensors broke due to excessive centrifugal force acting on them. Find out which of the sensors was subjected to the greater centrifugal force if you know that the sensor measuring on planet α weighed mα = 9 kg, while the sensor on the other planet weighed mβ = 1 kg. The relationship applies to the centrifugal force on the surface of any planet.
Fo = mv2 / r,
where m is the mass of the considered sensor, v is the circumferential velocity of the planet given by its rotation, and r is the radius of the given planet.
Result
You need to know the following knowledge to solve this word math problem:
Units of physical quantities:
Themes, topics:
Grade of the word problem:
We encourage you to watch this tutorial video on this math problem: video1
Related math problems and questions:
- Gravitational 63504
Due to the force of gravity, a freely released body falls towards the Earth. The reaction to the gravitational force is of equal magnitude and acts on the Earth at its center. Explain why we do not observe the motion of the Earth towards the body. - Equivalent expressions
A coach took his team out for pizza after their last game. There were 14 players, so they had to sit in smaller groups at different tables. Six players sat at one table and got four small pizzas to share equally. The other players sat at a different table - Phone numbers
How many 9-digit telephone numbers can be compiled from the digits 0,1,2,..,8,9 that no digit is repeated? - Forest nursery
In the forest nursery after winter, they found that 1/10 of the stems died out of them. For them, they landed 193 new spruces. How many spruces are in the forest nursery?
- Keyboards keys
Michael had small keys on the shelf, which you can see in the picture. Their tones were marked on the white keys. Little Clara found the keys. As she took them off the shelf, they fell out of her hand, and all the white keys spilled out. So that the broth - Three cats
If three cats eat three mice in three minutes, after which time 70 cats eat 70 mice? - Endless lego set
The endless Lego set contains only 6, 9, and 20-kilogram blocks that can no longer be polished or broken. The workers took them to the gym and immediately started building different buildings. And, of course, they wrote down how much the building weighed.
