Thank you for your question, what you say is true, the gravitational force exerted by the Earth on the Moon has to be equal to the centripetal force.
An interesting application of this principle is that it allows you to determine a relation between the period of an orbit and its size. Let us assume for simplicity the Moon's orbit as circular (it is not, but this is a good approximation for our purposes).
The gravitational acceleration that the Moon experience due to the gravitational attraction from the Earth is given by:
ag=G(MEarth+MMoon)/r2
Where G is the gravitational constant, M stands for mass, and r is the radius of the orbit. The centripetal acceleration is given by:
acentr=(4 pi2 r)/T2
Where T is the period. Since the two accelerations have to be equal, we obtain:
(4 pi2 r) /T2=G(MEarth+MMoon)/r2
Which implies:
r3/T2=G(MEarth+MMoon)/4 pi2=const.
This is the so-called third Kepler law, that states that the cube of the radius of the orbit is proportional to the square of the period.
This has interesting applications. In the Solar System, for example, if you know the period and the radius of one planet orbit, by knowing another planet's period you can determine its orbit radius. I hope that this answers your question.
Jesus, jesus is always the answer
It is Tension as the other 3 answer choices would not make sense. Compression would mean you are pressing the rock on both sides or in this case, pushing it into the dirt. It can't be nuclear force as you are pulling out a rock. Air resistance would not make sense either as there is no air involved in the scenario at all.
To solve this task we have to make a proportion, but firstly we have to set up all the main points : so, the distance is s=r(B), that has its <span>r=radius,B=angle in rad
velocity v=ds/dt= w(r)
Do not forget about </span> w = angular speed in rad/s and
![w1 = 1 revolution/sec = 2Pi (rad/s)](https://tex.z-dn.net/?f=%20w1%20%3D%201%20revolution%2Fsec%20%3D%202Pi%20%28rad%2Fs%29)
Now we can go to proportion
![v1=v2](https://tex.z-dn.net/?f=v1%3Dv2)
![w1*r1 = w2r2](https://tex.z-dn.net/?f=%20w1%2Ar1%20%3D%20w2r2%20)
![w2 = w1 * r1/r2 = 2w1 = 4Pi (rad/s)](https://tex.z-dn.net/?f=w2%20%3D%20w1%20%2A%20r1%2Fr2%20%3D%202w1%20%3D%204Pi%20%28rad%2Fs%29)
![w2 = w3 (which is the angular velocity of the rear wheel) ](https://tex.z-dn.net/?f=%20w2%20%3D%20w3%20%28which%20is%20the%20%20%20angular%20velocity%20of%20the%20rear%20wheel%29%20%0A)
SOLVING FOR A :
![v3 = w3 * r3 = 4pi * 14 (inch/s) = 14.66 ft/sec](https://tex.z-dn.net/?f=v3%20%3D%20w3%20%2A%20r3%20%3D%204pi%20%2A%2014%20%28inch%2Fs%29%20%3D%2014.66%20ft%2Fsec)
![v3 = 14.66 ft/sec(1 mile/5280 ft)( 3600 sec/h)](https://tex.z-dn.net/?f=v3%20%3D%2014.66%20ft%2Fsec%281%20mile%2F5280%20ft%29%28%203600%20sec%2Fh%29)
![= 9.99](https://tex.z-dn.net/?f=%3D%209.99%20)
or something about <span>10 mph --- SOLVING FOR B.
</span>I'm sure it helps!