Answer:
The ballon would be inflated. The reason is that the sodium bicarbonate in baking soda reacts with acetic acid in vinegar to produce gas.
Explanation:
The main component of baking soda is sodium bicarbonate,
.
Vinegar is mostly a solution of acetic acid
in water.
Acids such as acetic acid react with carbonate salts. One of the products of such reactions is carbon dioxide
, a gas.
In this question, when the acetic acid in vinegar reacts with sodium bicarbonate in the baking soda, the following reaction would occur:
.
The
produced would then inflate the ballon placed on the opening of the bottle.
Answer:
The mass flow rate is 2.37*10^-4kg/s
The exit velocity is 34.3m/s
The total flow of energy is 0.583 KJ/KgThe rate at which energy leave the cooker is 0.638KW
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Period is the inverse of freguency (1/f) and freqquency is the inverse of period (1/p)
Complete Question
While helping an astronomy professor, you discover a binary star system in which the two stars are in circular orbits about the system's center of mass. From their color and brightness, you determine that each star has the same mass as our Sun. The orbital period of the pair is 29.3 days , based on the oscillation of brightness observed as one star occludes (hides) the other. From this information you are able to ascertain the distance between the stars.
Calculate the distance between the stars.
Express your answer to two significant digits and include the appropriate units.
Answer:
The distance between the stars is 
Explanation:
From this question we are told that
The orbital period is 
The mass of the stars are = Mass of sun 
For the two stars to keep on rotating on the circular orbit, the gravitational force must equal to the centripetal force and this can be mathematically represented as

Where r is the radius of the circular orbit
G is the gravitational constant 
d is the linear distance between the two stars = 2 r
This because during their oscillation around the circular orbit one usually hides the other

Now substituting values into the above relation
![\frac{Gm^2}{(2r)^2} = \frac{m[\frac{2 \pi r}{T} ]^2}{r}](https://tex.z-dn.net/?f=%5Cfrac%7BGm%5E2%7D%7B%282r%29%5E2%7D%20%3D%20%5Cfrac%7Bm%5B%5Cfrac%7B2%20%5Cpi%20r%7D%7BT%7D%20%5D%5E2%7D%7Br%7D)
![\frac{Gm^2}{(2r)^2} = \frac{m[\frac{4 \pi^2 r^2 }{T} ]}{r}](https://tex.z-dn.net/?f=%5Cfrac%7BGm%5E2%7D%7B%282r%29%5E2%7D%20%3D%20%5Cfrac%7Bm%5B%5Cfrac%7B4%20%5Cpi%5E2%20r%5E2%20%20%7D%7BT%7D%20%5D%7D%7Br%7D)
![r^3 = [\frac{GmT^2}{16 \pi^2} ]](https://tex.z-dn.net/?f=r%5E3%20%3D%20%5B%5Cfrac%7BGmT%5E2%7D%7B16%20%5Cpi%5E2%7D%20%5D)
Substituting values we have
![r = [\frac{(6.67*10^{-11})(1.99*10^{30})(2531520)^2}{16(3.142)^2} ]^{\frac{1}{3} }](https://tex.z-dn.net/?f=r%20%3D%20%5B%5Cfrac%7B%286.67%2A10%5E%7B-11%7D%29%281.99%2A10%5E%7B30%7D%29%282531520%29%5E2%7D%7B16%283.142%29%5E2%7D%20%5D%5E%7B%5Cfrac%7B1%7D%7B3%7D%20%7D)
![=\sqrt[3]{5.38529*10^{30}}](https://tex.z-dn.net/?f=%3D%5Csqrt%5B3%5D%7B5.38529%2A10%5E%7B30%7D%7D)

Now d = 2r
=> d 

Data:
m (mass) = 1 Kg
s (speed) = 3 m/s
Kinetic energy = ? (Joule)
Formula (Kinetic energy)

Solving:



