The action is the child sticking his/her hand out of the window of the moving car.
The reaction is getting yelled at by his/her parents as soon as they notice it.
The statement that best describes the production of energy in the Sun is nuclei with less mass combine to form nuclei with more mass in the Sun’s core and release energy.
<h3>How is energy produced in the sun?</h3>
Sun is a major source of renewable energy to the Earth. This energy serves various purposes by living organisms.
However, the energy is generated as a result of nuclear fusion, which is the combination of smaller particles to form a larger one.
Therefore, the statement that best describes the production of energy in the Sun is nuclei with less mass combine to form nuclei with more mass in the Sun’s core and release energy.
Learn more about energy at: brainly.com/question/1932868
#SPJ1
Answer:
See the explanation below
Explanation:
We must perform a sum of forces on the body, that sum of forces is equal to zero. That is, the body is in balance and does not move.
ΣF = 0
3 - 3 = 0
This force is negative and acts by pointing downwards.
There are several information's already given in the question. Let us write them down first.
Radius of the tank = 3 feet
Height of the tank = 10 feet
Value of pi = 3.14
Then
Volume of the cylindrical tank = 3.14 * (3)^2 * 10
= 3.14 * 9 * 10
= 282.6 ft^3
Now
Heating capacity of 1 cubic foot of natural gas = 1030 BTU's
Then
Heating capacity of 282.6 cubic foot of natural gas = 1030 * 282.6
= 291078 BTU's
I hope the procedure is clear enough for you to understand.
Answer:
Given that
![\overrightarrow{v_{a}}=3\widehat{i}\\\\\overrightarrow{v_{b}}=4\widehat{i}+\widehat{j}\\\\\therefore \overrightarrow{v_{ba}}=4\widehat{i}+\widehat{j}-3\widehat{i}\\\\\overrightarrow{v_{ba}}=\widehat{i}+\widehat{j}\\\\\frac{\overrightarrow{dr_{ba}}}{dt}=\widehat{i}+\widehat{j}\\\\\therefore \overrightarrow{r_{ba}}=\int (\widehat{i}+\widehat{j})dt\\\\\therefore \overrightarrow{r_{ba}}=t\widehat{i}+t\widehat{j}+\overrightarrow{r_{o}}](https://tex.z-dn.net/?f=%5Coverrightarrow%7Bv_%7Ba%7D%7D%3D3%5Cwidehat%7Bi%7D%5C%5C%5C%5C%5Coverrightarrow%7Bv_%7Bb%7D%7D%3D4%5Cwidehat%7Bi%7D%2B%5Cwidehat%7Bj%7D%5C%5C%5C%5C%5Ctherefore%20%5Coverrightarrow%7Bv_%7Bba%7D%7D%3D4%5Cwidehat%7Bi%7D%2B%5Cwidehat%7Bj%7D-3%5Cwidehat%7Bi%7D%5C%5C%5C%5C%5Coverrightarrow%7Bv_%7Bba%7D%7D%3D%5Cwidehat%7Bi%7D%2B%5Cwidehat%7Bj%7D%5C%5C%5C%5C%5Cfrac%7B%5Coverrightarrow%7Bdr_%7Bba%7D%7D%7D%7Bdt%7D%3D%5Cwidehat%7Bi%7D%2B%5Cwidehat%7Bj%7D%5C%5C%5C%5C%5Ctherefore%20%5Coverrightarrow%7Br_%7Bba%7D%7D%3D%5Cint%20%28%5Cwidehat%7Bi%7D%2B%5Cwidehat%7Bj%7D%29dt%5C%5C%5C%5C%5Ctherefore%20%5Coverrightarrow%7Br_%7Bba%7D%7D%3Dt%5Cwidehat%7Bi%7D%2Bt%5Cwidehat%7Bj%7D%2B%5Coverrightarrow%7Br_%7Bo%7D%7D)
Now it is given that
![\overrightarrow{r_{o}}=-2\widehat{i}-6\widehat{j}](https://tex.z-dn.net/?f=%5Coverrightarrow%7Br_%7Bo%7D%7D%3D-2%5Cwidehat%7Bi%7D-6%5Cwidehat%7Bj%7D)
![\therefore \overrightarrow{r_{ba}}=(t-2)\widehat{i}+(t-6)\widehat{j}](https://tex.z-dn.net/?f=%5Ctherefore%20%5Coverrightarrow%7Br_%7Bba%7D%7D%3D%28t-2%29%5Cwidehat%7Bi%7D%2B%28t-6%29%5Cwidehat%7Bj%7D)
Now the distance can be calculates as
![r=\sqrt{x^{2}+y^{2}}\\\\r^{2}=(t-2)^{2}+(t-6)^{2}\\\\](https://tex.z-dn.net/?f=r%3D%5Csqrt%7Bx%5E%7B2%7D%2By%5E%7B2%7D%7D%5C%5C%5C%5Cr%5E%7B2%7D%3D%28t-2%29%5E%7B2%7D%2B%28t-6%29%5E%7B2%7D%5C%5C%5C%5C)
Differentiating with respect to 't' and equating to zero for minimizing the function we get
![r=\sqrt{x^{2}+y^{2}}\\\\r^{2}=(t-2)^{2}+(t-6)^{2}\\\\2r\frac{dr}{dt}=2(t-2)+2(t-6)\\\\2r\frac{dr}{dt}=4t-16\\\\\therefore \frac{dr}{dt}=0\\\\\Rightarrow 4t-16=0\\\\\therefore t=4](https://tex.z-dn.net/?f=r%3D%5Csqrt%7Bx%5E%7B2%7D%2By%5E%7B2%7D%7D%5C%5C%5C%5Cr%5E%7B2%7D%3D%28t-2%29%5E%7B2%7D%2B%28t-6%29%5E%7B2%7D%5C%5C%5C%5C2r%5Cfrac%7Bdr%7D%7Bdt%7D%3D2%28t-2%29%2B2%28t-6%29%5C%5C%5C%5C2r%5Cfrac%7Bdr%7D%7Bdt%7D%3D4t-16%5C%5C%5C%5C%5Ctherefore%20%5Cfrac%7Bdr%7D%7Bdt%7D%3D0%5C%5C%5C%5C%5CRightarrow%204t-16%3D0%5C%5C%5C%5C%5Ctherefore%20t%3D4)
The shortest distance is thus given by
![r^{2}=(4-2)^{2}+(4-6)^{2}\\\\r=2\sqrt{2}](https://tex.z-dn.net/?f=r%5E%7B2%7D%3D%284-2%29%5E%7B2%7D%2B%284-6%29%5E%7B2%7D%5C%5C%5C%5Cr%3D2%5Csqrt%7B2%7D)