Answer:
Explanation:
The condition that the sphere completes the loop is that it doesn't fall off at the top. In order to do that, the sphere has to have enough velocity to beat the centripetal acceleration.
The forces acting on the sphere at the top of the loop:
1- Weight of the sphere to the downwards direction.
2- The normal force to the downwards direction.
So Newton's Second Law gives the following equation
At the minimum velocity, which corresponds to minimum height 'h', the normal force is equal to zero. That means, if the sphere moves any less than the minimum velocity, its weight will be greater than the centripetal force, hence it will fall off.
Therefore,
Now, we can use the conservation of energy to find the minimum height.
Solids-are molecules that are together at all times( unless changed by a liquid or gas)
liquid-are molecules that move around freely in 1 space but can be changed to solid or gas
gas- molecules that move around freely and can be hot or cold depending
plasma- a material that goes to forming a cell or a liquid without any structual particles
There you go!
The object in the lower orbit will move faster in its orbit, and will have a shorter orbital period. None of that depends on their masses either.
I don’t use the metric system, so I used feet and then went back.
25 meters is about 82 feet.
So around 82 feet per minute (kinda slow LOL)
82 (feet per minute) x 90 (minutes) = 7380 feet (in 90 minutes)
7380 feet is equal to 2249.424 meters.
(I hope that helped)