Answer:
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Option (C) is correct that the majority of the elements on the periodic table are metals.
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Answer:
The earth's gravitational force on the sun is equal to the sun's gravitational force on the earth
Explanation:
Newton's third law (law of action-reaction) states that:
"When an object A exerts a force (called action) on an object B, then object B exerts an equal and opposite force (called reaction) on object A"
In other words, when two objects exert a force on each other, then the magnitude of the two forces is the same (while the directions are opposite).
In this problem, we can call the Sun as "object A" and the Earth as "object B". According to Newton's third law, therefore, we can say that the gravitational force that the Earth exerts on the Sun is equal (in magnitude, and opposite in direction) to the gravitational force that the Sun exerts on the Earth.
Answer:
Part a: When the road is level, the minimum stopping sight distance is 563.36 ft.
Part b: When the road has a maximum grade of 4%, the minimum stopping sight distance is 528.19 ft.
Explanation:
Part a
When Road is Level
The stopping sight distance is given as
![SSD=1.47 ut +\frac{u^2}{30 (\frac{a}{g} \pm G)}](https://tex.z-dn.net/?f=SSD%3D1.47%20ut%20%2B%5Cfrac%7Bu%5E2%7D%7B30%20%28%5Cfrac%7Ba%7D%7Bg%7D%20%5Cpm%20G%29%7D)
Here
- SSD is the stopping sight distance which is to be calculated.
- u is the speed which is given as 60 mi/hr
- t is the perception-reaction time given as 2.5 sec.
- a/g is the ratio of deceleration of the body w.r.t gravitational acceleration, it is estimated as 0.35.
- G is the grade of the road, which is this case is 0 as the road is level
Substituting values
![SSD=1.47 ut +\frac{u^2}{30 (\frac{a}{g} \pm G)}\\SSD=1.47 \times 60 \times 2.5 +\frac{60^2}{30 \times (0.35-0)}\\SSD=220.5 +342.86 ft\\SSD=563.36 ft](https://tex.z-dn.net/?f=SSD%3D1.47%20ut%20%2B%5Cfrac%7Bu%5E2%7D%7B30%20%28%5Cfrac%7Ba%7D%7Bg%7D%20%5Cpm%20G%29%7D%5C%5CSSD%3D1.47%20%5Ctimes%2060%20%5Ctimes%202.5%20%2B%5Cfrac%7B60%5E2%7D%7B30%20%5Ctimes%20%280.35-0%29%7D%5C%5CSSD%3D220.5%20%2B342.86%20ft%5C%5CSSD%3D563.36%20ft)
So the minimum stopping sight distance is 563.36 ft.
Part b
When Road has a maximum grade of 4%
The stopping sight distance is given as
![SSD=1.47 ut +\frac{u^2}{30 (\frac{a}{g} \pm G)}](https://tex.z-dn.net/?f=SSD%3D1.47%20ut%20%2B%5Cfrac%7Bu%5E2%7D%7B30%20%28%5Cfrac%7Ba%7D%7Bg%7D%20%5Cpm%20G%29%7D)
Here
- SSD is the stopping sight distance which is to be calculated.
- u is the speed which is given as 60 mi/hr
- t is the perception-reaction time given as 2.5 sec.
- a/g is the ratio of deceleration of the body w.r.t gravitational acceleration, it is estimated as 0.35.
- G is the grade of the road, which is given as 4% now this can be either downgrade or upgrade
For upgrade of 4%, Substituting values
![SSD=1.47 ut +\frac{u^2}{30 (\frac{a}{g} \pm G)}\\SSD=1.47 \times 60 \times 2.5 +\frac{60^2}{30 \times (0.35+0.04)}\\SSD=220.5 +307.69 ft\\SSD=528.19 ft](https://tex.z-dn.net/?f=SSD%3D1.47%20ut%20%2B%5Cfrac%7Bu%5E2%7D%7B30%20%28%5Cfrac%7Ba%7D%7Bg%7D%20%5Cpm%20G%29%7D%5C%5CSSD%3D1.47%20%5Ctimes%2060%20%5Ctimes%202.5%20%2B%5Cfrac%7B60%5E2%7D%7B30%20%5Ctimes%20%280.35%2B0.04%29%7D%5C%5CSSD%3D220.5%20%2B307.69%20ft%5C%5CSSD%3D528.19%20ft)
<em>So the minimum stopping sight distance for a road with 4% upgrade is 528.19 ft.</em>
For downgrade of 4%, Substituting values
![SSD=1.47 ut +\frac{u^2}{30 (\frac{a}{g} \pm G)}\\SSD=1.47 \times 60 \times 2.5 +\frac{60^2}{30 \times (0.35-0.04)}\\SSD=220.5 +387.09 ft\\SSD=607.59ft](https://tex.z-dn.net/?f=SSD%3D1.47%20ut%20%2B%5Cfrac%7Bu%5E2%7D%7B30%20%28%5Cfrac%7Ba%7D%7Bg%7D%20%5Cpm%20G%29%7D%5C%5CSSD%3D1.47%20%5Ctimes%2060%20%5Ctimes%202.5%20%2B%5Cfrac%7B60%5E2%7D%7B30%20%5Ctimes%20%280.35-0.04%29%7D%5C%5CSSD%3D220.5%20%2B387.09%20ft%5C%5CSSD%3D607.59ft)
<em>So the minimum stopping sight distance for a road with 4% downgrade is 607.59 ft.</em>
As the minimum distance is required for the 4% grade road, so the solution is 528.19 ft.
No matter what direction you throw it, or with what speed, its acceleration is immediately 9.8 m/s^2 downward as soon as you release it from your hand, and it doesn't change until the ball hits something.