Answer:
![\frac{r_1}{r_2}=6.9](https://tex.z-dn.net/?f=%5Cfrac%7Br_1%7D%7Br_2%7D%3D6.9)
Explanation:
According to Pascal's Law, the pressure transmitted from input pedal to the output plunger must be same:
![P_1 = P_2\\\\\frac{F_1}{A_1}=\frac{F_2}{A_2}\\\\\frac{F_1}{F_2}=\frac{A_1}{A_2}\\\\\frac{F_1}{F_2}=\frac{\pi r_1^2}{\pi r_2^2}\\\\\frac{F_1}{F_2}=\frac{r_1^2}{r_2^2}](https://tex.z-dn.net/?f=P_1%20%3D%20P_2%5C%5C%5C%5C%5Cfrac%7BF_1%7D%7BA_1%7D%3D%5Cfrac%7BF_2%7D%7BA_2%7D%5C%5C%5C%5C%5Cfrac%7BF_1%7D%7BF_2%7D%3D%5Cfrac%7BA_1%7D%7BA_2%7D%5C%5C%5C%5C%5Cfrac%7BF_1%7D%7BF_2%7D%3D%5Cfrac%7B%5Cpi%20r_1%5E2%7D%7B%5Cpi%20r_2%5E2%7D%5C%5C%5C%5C%5Cfrac%7BF_1%7D%7BF_2%7D%3D%5Cfrac%7Br_1%5E2%7D%7Br_2%5E2%7D)
where,
F₁ = Load lifted by output plunger = 2100 N
F₂ = Force applied on input piston = 44 N
r₁ = radius of output plunger
r₂ = radius of input piston
Therefore,
![\frac{r_1^2}{r_2^2}=\frac{2100\ N}{44\ N}\\\\\frac{r_1}{r_2}=\sqrt{\frac{2100\ N}{44\ N}} \\\\\frac{r_1}{r_2}=6.9](https://tex.z-dn.net/?f=%5Cfrac%7Br_1%5E2%7D%7Br_2%5E2%7D%3D%5Cfrac%7B2100%5C%20N%7D%7B44%5C%20N%7D%5C%5C%5C%5C%5Cfrac%7Br_1%7D%7Br_2%7D%3D%5Csqrt%7B%5Cfrac%7B2100%5C%20N%7D%7B44%5C%20N%7D%7D%20%5C%5C%5C%5C%5Cfrac%7Br_1%7D%7Br_2%7D%3D6.9)
I attached the missing picture.
The force of seat acting on the child is a reaction the force of child pressing down on the seat. This is the third Newton's law. The force of a child pressing down the seat and the force of the seat pushing up on the child are the same.
There two forces acting on the child. The first one is the gravitational force and the second one is centrifugal force. In this example, the force of gravity is always pulling down, but centrifugal force always acts away from the center of circular motion.
Part AFor point A we have:
![F_a=F_cf-F_g](https://tex.z-dn.net/?f=F_a%3DF_cf-F_g)
In this case, the forces are aligned, centrifugal is pointing up and gravitational is pulling down.
Part BAt the point, B situation is a bit more complicated. In this case force of gravity and centrifugal force are not aligned. We have to look at y components of this forces, y-axis, in this case, is just pointing upward.
Part CThe child will stay in place at point A when centrifugal force and force of gravity are in balance:
In my opinion, i think the first one is the best one since we're cutting down on paper wasted in mails when its better to do it online.
"paying bills online instead of sending paper through mail"
Water breaks down into hydrogen and oxygen: It is a decomposition reaction as a single substance decomposes to give two products.
![H_2O \rightarrow H_2 +\frac {1}{2}O_2](https://tex.z-dn.net/?f=H_2O%20%5Crightarrow%20H_2%20%2B%5Cfrac%20%7B1%7D%7B2%7DO_2)
Leaves make starch using chlorophyll and carbon dioxide: Synthesis reaction: as the synthesis reaction involves two or more than two reactants which join together to result into a single main product along with the formation of simple by products.
![6CO_2 + 6H_2O \rightarrow C_6H_{12}O_6 + 6O_2](https://tex.z-dn.net/?f=6CO_2%20%2B%206H_2O%20%5Crightarrow%20C_6H_%7B12%7DO_6%20%2B%206O_2)
Food burns in oxygen gas and releases a lot of energy: Combustion: Combustion process involves the use of oxygen to give products along with release of energy.
![C_6H_{12}O_6 + 6O_2\rightarrow 6CO_2 + 6H_2O](https://tex.z-dn.net/?f=C_6H_%7B12%7DO_6%20%2B%206O_2%5Crightarrow%206CO_2%20%2B%206H_2O)
Adding vinegar (acid) to baking soda (alkali) gives a product that is neither acidic nor alkaline: Neutralization: acetic acid in vinegar reacts with soda (base) to give salt (neutral) and .
![CH_3COOH + NaHCO_3\rightarrow CH_3COONa +H_2O + CO_2](https://tex.z-dn.net/?f=CH_3COOH%20%2B%20NaHCO_3%5Crightarrow%20CH_3COONa%20%2BH_2O%20%2B%20CO_2)
Base on the said question or problem that state and ask to calculate the current of the said light bulb and in my further calculation and further analysis, I would say that the current of the light bulb would be 0.0292. I hope you are satisfied with my answer and feel free to ask for more