Answer:
the period of the motion will increase by√2.
Explanation:
Given that the motion you are talking about is circular motion of a mass attached to the end of a string. I speculated that from the word usage in the question(e.g radius instead of length, tension, period). Given this is so we will have to recall the formula for the centripetral force Fc acting on the object which will be equal in magnitude to the tension in the string and will be given by,
if we want the above defined tension to remain constant when we double the mass and keep the radius of the string constant, the the w(angular frequency) must change which is related to the period by the below equation which will also change,
to find out by how much the period will change we see that from the first equation that if we double the mass making it 2m then the <em>w</em>² will have to decrease by 2 that is it will become <em>w</em>²/2, at the same time keeping r constant since it says that in the question. We now absorb the 2 inside the square and we get,
we can clearly see that the new period has become,
where T is the old period. So the new period is √2 times the old period given by the equation above.
The distance between city a and city b is 833.345 miles.
We know that
1°=60'
The distance of city a from the initial ray is calculated as
x_a=3960*tan45.46°=4024.101 miles
The distance of city b from the initial ray is calculated as
x_b=3960*tan 38.86°=3190.75 miles
Now the distance between city a and b is equal to
4024.101-3190.75=833.345 miles
This is the vertical distance between the cities.
Answer:
Due to the chemical versatility of carbon atoms
Explanation:
Carbon is a very important element and it is commonly found in many varieties of chemical compounds. They are also found to be present in space in various amount. It is often considered to be versatile because they are capable of forming single, double, as well as triple bonds. This enables them to make single and branched chains. They also form ring chains when combined with other atoms of carbon.
It is because of this versatility of carbon atoms, there forms complex variety of organic molecules.
I don't know Ioput, <span>but :
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gravity is:
simplified to near surface force:
so :
M mass of planet
R radius of planet
G gravitational constant
Nothing will happen. The mercury and steel will not move. It’s just like filling a glass halfway with cement and then pouring water on top of it.