Answer:
For which the reasoning of the boy is correct for small heights, but as height increases his analysis is not correct.
Explanation:
The force of gravity comes from Newton's second law with the force the universal attraction
F = ma
F = [tex]G \frac{m_1 M}{(R_e +h)^2}[/tex]
we substitute
[tex]G \frac{m_1 M}{ (R_e+ h)^2}[/tex] = m₁ a
where Re is the radius of the Earth 6.37 106 m
a = [tex]G\frac{M}{R_e^2} \ ( 1 + \frac{h}{R_e})^{-2}[/tex]
In general, the height is much less than the radius of the earth, therefore the term ha / Re is very small and we can use a series expansion leaving only the first fears.
(1 + x)⁻² = 1 -2x + [tex]\frac{2 \ 1}{2!}[/tex] x²
we substitute
a = g₀ ([tex]1 - 2 \frac{h}{R_e}[/tex] )
with
g₀ = [tex]G \frac{M}{R_e^2}[/tex]
let's launch the expression.
* For small height compared to the radius of the earth we can neglect the last term
g = g₀
* For height comparable to the radius of the Earth
g = g₀ [tex](1 - \frac{2h}{Re} )[/tex]
We see that the acceleration of gravity is decreasing.
For which the reasoning of the boy is correct for small heights, but as height increases his analysis is not correct.
The student's reasoning gone wrong when the analysis is undertaken for the increasing heights, to drop the object.
The given problem is based on the concept of gravity and gravitational force. The force of gravity comes from Newton's second law with the force the universal attraction as,
F = ma
[tex]F=G\dfrac{mM}{(R+h)^{2}}\\\\\\ma = G\dfrac{mM}{(R+h)^{2}}[/tex]
Here, a is the linear acceleration, m is the mass of object, M is the mass of Earth, R is the radius of Earth and h is the height from where the objects will be dropped. Then,
[tex]a = \dfrac{GM}{R^{2}} \times(1+h/R)^{-2}[/tex]
In general, the height is much less than the radius of the earth, therefore the term h/ R is very small, hence can be neglected.
[tex]a = \dfrac{GM}{R^{2}}\\\\a=g = \dfrac{GM}{R^{2}}[/tex]
g is the gravitational acceleration.
For small height compared to the radius of the earth we can neglect the last term as,
a = g
And for the height comparable to radius of Earth,
[tex]a = \dfrac{GM}{R^{2}} \times(1+h/R)^{-2}\\\\a=g \times(1+h/R)^{-2}[/tex]
Clearly, the acceleration of gravity is decreasing, for which the reasoning of the boy is correct for small heights, but as height increases his analysis is not correct.
Thus, we can conclude that the student's reasoning gone wrong when the analysis is undertaken for the increasing heights, to drop the object.
Learn more about the gravitational force here:
https://brainly.com/question/15647838
differences between mass and weight
Explanation:
Mass : -
1. It is the amount of mass present in an object.
2. SI unit : Kilograms ( kg )
3. Relation between Mass and Weight is W = mg.
Weight : -
1. It is the force with which it is attracted towards the centre of the earth.
2. SI unit : Newton ( N )
3. Relation between Mass and Weight is W = mg.
Mass is a measure of the amount of matter in an object, while weight is a measure of the force of gravity on the object.
Which of the following occurs when the fight-or-flight response is triggered?
Answer:
A or BExplanation:
The autonomic nervous system has two components, the sympathetic nervous system and the parasympathetic nervous system. The sympathetic nervous system functions like a gas pedal in a car. It triggers the fight-or-flight response, providing the body with a burst of energy so that it can respond to perceived dangers.
The device shown below contains 2 kg of water. When the cylinder is allowed to fall 250 m, the temperature of the water increases by 1.4°C. Suppose 2 kg of water are added to the container and the cylinder is allowed to fall 750 m. What would the increase in temperature be in this case? Gizmo image A. 0.7°C B. 1.4°C C. 2.1°C D. 2.8°C
Answer:c. 2.1°C
Explanation:
I just did it
Which is denser?
The water in a swimming pool or a quarter (coin).
Answer:
The coin is denser than any of the liquids, and will sink through everything. The oil is the least dense liquid, so it will float on the water, and the syrup is the densest liquid, so it will sink below the water.
Explanation:
cute copy and paste? ☏ ♡ ☆⋆◦★◦⋆°*•°
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¸ . ★ ° :. :. . ¸ . ● ¸ ° ¸. * ● ¸ °☆
☆ °☆ . * ● ¸ . ★¸ .
. * . . ° . ● ° .
° :. ° . ☆ . . • . ● .° °★ Not sure how to copy and paste? Just right click your mouse and choose copy in options, to release repeat the process and just paste it. No mouse? Select the text with your computer pad and use ctrl c to release, ctrl v. On mobile? Press on your screen and select the text, use the option copy and paste wherever you would like!
You can use the information below to calculate it :)
Density of water: 1000 kg/m3.
Density of the coin: copper 8.96 g/cm^3
nickel 8.90 g/cm^3
1 kg = 1000 g
All you have to do now is convert it and thats it
The plates on a vacuum capacitor have a radius of 3.0 mm and are separated by a distance of 1.5 mm. What is the capacitance of this capacitor?
The 500-N force F is applied to the vertical pole as shown(1) Determine the scalar components of the force vector F along the x'- and y'-axes. (2) Determine the scalar components of F along the x- and y'-axes.
Solution :
Given :
Force, F = 500 N
Let [tex]$ \vec F = F_x\ \hat i + F_y\ \hat j$[/tex]
[tex]$|\vec F|=\sqrt{F_x^2+F_y^2}$[/tex]
∴ [tex]$F_x=F \cos 60^\circ = 500 \ \cos 60^\circ = 250 \ N$[/tex]
[tex]$F_y=-F \cos 30^\circ = -500 \ \cos 30^\circ = -433.01 \ N$[/tex] (since [tex]$F_y$[/tex] direction is in negative y-axis)
[tex]$F=250 \ \hat i - 433.01 \ \hat j$[/tex]
So scalar components are : 250 N and 433.01 N
vector components are : [tex]$250 \ \hat i$[/tex] and [tex]$-433.01\ \hat j$[/tex]
1. Scalar components along :
x' axis = 500 N, since the force is in this direction.
[tex]$F_{x'}= F \ \cos \theta = 500\ \cos \theta$[/tex]
Here, θ = 0° , since force and axis in the same direction.
So, cos θ = cos 0° = 1
∴ [tex]$F_{x'}=500 \times 1=500\ N$[/tex]
[tex]$F_{y'}= F \ \sin \theta = 500\ \sin 0^\circ=500 \times 0=0$[/tex]
[tex]$F_{y'}=F\ cos \theta$[/tex] but here θ is 90°. So the force ad axis are perpendicular to each other.
[tex]$F_{y'}=F\ \cos 90^\circ= 500 \ \cos 90^\circ = 500 \times 0=0$[/tex]
∴ [tex]$F_{x'}= 500\ N \text{ and}\ F_{y'}=0\ N$[/tex]
2. Scalar components of F along:
x-axis :
[tex]$F_x=F\ \cos \theta$[/tex], here θ is the angle between x-axis and F = 60°.
[tex]$F_x=500 \times \cos60^\circ=250\ N$[/tex]
y'-axis :
[tex]$F_{y'}=F\ \cos \theta$[/tex], here θ is the angle between y'-axis and F = 90°.
[tex]$F_{y'}=500 \times \cos90^\circ=500\times 0=0\ N$[/tex]
∴ [tex]$F_{x}= 250\ N \text{ and}\ F_{y'}=0\ N$[/tex]
What are four reasons why it is important to apply for entry at tertiary institutions while you are still at grade 11
Answer:
Explanation:
The main reason for doing this is to get the attention of the tertiary institutions early. There are thousands of students that apply to these institutions every year, depending on the strictness of the acceptance of these institutions it may or may not be difficult for you to enter. Applying while at grade 11 gives you more chances of getting in as you are catching the attention of the institution and showing a high level of interest. This also allows you more chances to enter, since if you are denied you can try again next year. Aside from this, some institutions have specific requirements, applying early can allow you to know what you are missing as they will tell you if you get denied. You can then work towards obtaining these requirements and apply next year.
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The behavior of the light incident upon this page best illustrates the phenomenon of
A)
diffuse reflection
B)
regular reflection
C)
diffraction
D)
refraction
Answer:
diffraction
Explanation:
The behavior of the light incident upon this page best illustrates the phenomenon of diffraction
hope it help:)
The behaviour of such incident light on just this pages adequately exemplifies the phenomena called Diffraction. A further explanation is below.
DiffractionThe broadening out of waveforms when they transit through such an apertures anywhere around obstructions generally referred to as diffraction.
It happens whenever the aperture as well as obstruction seems of the equivalent order of magnitude as that of the transmitted beam's wavelength.
Thus the approach above i.e., option C is correct.
Find out more information about Diffraction here:
https://brainly.com/question/16749356
The ancient Egyptians build their pyramids using a ramp to move the heavy blocks up. The length of the ramp was 25m and the height was 10m the weight of the block was 250kg and the effort weight is 180kg. What is the efficiency of the inclined plane
Answer:
Efficiency of the inclined plane is 56%
Explanation:
efficiency = (work output / work input) x 100%
efficiency = ([load force x load distance] x [effort force x effort distance]) x 100%
efficiency = (250 kg x 10 m) / (180 kg x 25 m) x 100%
efficiency = (2500kg/m) / (4500kg/m) x 100%
efficiency = 0.555 = 0.56 x 100%
efficiency = 56%
12. Which of the following statements is accurate?
A. If an object's velocity is changing, it's experiencing either acceleration or deceleration.
B. If an object's velocity decreases, then the object is accelerating
C. If an objects said to be decelerating, its velocity must be increasing,
D. If an object's velocity remains constant, its acceleration must be increasing.
Answer:
Option (a) is correct
Explanation:
The acceleration of an object is defined as the rate of change of velocity. Mathematically, it can be written as :
[tex]a=\dfrac{v-u}{t}[/tex]
Where
v and u are final and initial velocity
It is clear that if there is some change in velocity, it means the object is experiencing either acceleration or deceleration. Hence, the correct option is (a).
Answer:
a
Explanation:
Se lanza un objeto hacia arriba y en 3.2 segundos cae. Determinar la altura máxima a la que llegó y la velocidad con la que choca con el piso.
When forming a ion, oxygen will have what charge?
Answer:
it will have a charge of -2
Explanation:
Jenise is buying a car for $7,020. The TAVT rate is 9.1%.
What is the amount of tax that Jenise will have to pay on her car?
Answer:
$7,658.82
Explanation:
Sales Tax Calculations:
Sales Tax Amount = Net Price x (Sales Tax Percentage / 100)
Total Price = Net Price + Sales Tax Amount
Net Price: $ 7,020.00
+Sales Tax (9.1%): $ 638.82
Total Price: $ 7,658.82
Therefore, the amount of tax that Jenise has to pay on her car is $7,658.82
PLSSS HELPP
If humans are evolving, who is having the biggest effect on humanities gene pool? Rich vs poor? Educated vs uneducated? Certain countries over others? Etc.? And how will this affect our evolution in the future?
Answer:
Well, if you look up countries with the highest birth rates, also those countries poverty rates and what class the majority of the people are in then you should have a better understanding. Also, education is not passed through genes it is learned through expirience and being taught. Also being rich vs being poor probably doesn't have that big of an effect either. It is the living conditions.
Explanation:
The forces shaping the short-term future of man, perhaps to the turn of this century, are apparent, and the events are in train. The shape of the world in the year 2000 and man's place therein will be determined by the manner in which organized humanity confronts several major challenges. If sufficiently successful, and mankind escapes the dark abysses of its own making, then truly will the future belong to man, the only product of biological evolution capable of controlling its own further destiny.
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The orbital radius of the Earth (the average Earth-Sun distance) is 1.496 × 1011 m. Mercury’s orbital radius is 5.79 × 1010 m and Pluto’s is 5.91 × 1012 m. Calculate the time required for light to travel from the Sun to each of the three celestial bodies
Answer:
Earth: [tex]t = 498.667\,s[/tex], Mercury: [tex]t = 193\,s[/tex], Pluto: [tex]t = 19700\,s[/tex]
Explanation:
The light travels at a constant speed of approximately [tex]3\times 10^{8}[/tex] meters per second. The time ([tex]t[/tex]), in seconds, required for light to travel a given distance is:
[tex]t = \frac{x}{v_{l}}[/tex] (1)
Where:
[tex]x[/tex] - Travelled distance, in meters.
[tex]v_{l}[/tex] - Speed of light, in meters per second.
Now, we calculate the time for light to travel to each planet:
Earth ([tex]v_{l} = 3\times 10^{8}\,\frac{m}{s}[/tex], [tex]x = 1.496\times 10^{11}\,m[/tex])
[tex]t = \frac{x}{v_{l}}[/tex]
[tex]t = 498.667\,s[/tex]
Mercury ([tex]v_{l} = 3\times 10^{8}\,\frac{m}{s}[/tex], [tex]x = 5.79\times 10^{10}\,m[/tex])
[tex]t = \frac{x}{v_{l}}[/tex]
[tex]t = 193\,s[/tex]
Pluto ([tex]v_{l} = 3\times 10^{8}\,\frac{m}{s}[/tex], [tex]x = 5.91\times 10^{12}\,m[/tex])
[tex]t = \frac{x}{v_{l}}[/tex]
[tex]t = 19700\,s[/tex]
'If you increase the frequency of a sound wave four times, what will happen to its speed?
ОА.
The speed will increase four times.
OB.
The speed will decrease four times.
O c.
The speed will remain the same.
OD
The speed will increase twice.
O E.
The speed will decrease twice.
Explain why, in terms of forces, there is a risk of head injury when diving from this height. Suggest why the high divers would choose to enter the water feet first.
Answer:
Due to lower risk of injury or damage.
Explanation:
The high divers would choose to enter the water from the feet first because there is low risk of injury. The brain is the most important part of the body which very sensitive to any small injury. Small injury to brain leads to big problems in life. High divers can reach speeds of nearly 60 mph and enters about 28m into the water in about three seconds which can damage the head region if comes in contact with the ground so this is the reason the high divers avoid of entering in the water through their heads and choose entering through their feet.
Which of the following results when most or all of the neutrons released in a
fission reaction encounter other nuclei?
In your own words, tell me how an element, molecule, and compound are used to make different substances. All three must be mentioned in order to receive full credit.
Answer:
When atoms from different elements are joined together in groups, they form molecules. The atoms in molecules bind together chemically, which means that the atoms cannot be separated again by physical means, such as filtration. The molecule has different properties from the elements from which is was made.
Explanation:
Please help!
The Moon itself does not produce light. It appears to be lit because it is _____________ light from the Sun. *
A)absorbing
B)Reflecting
C)capturing
D)stealing
Answer:
it's b the moon reflect light from the sun
PLS ANWSER FAST WILL GIVE BRAINL!!!!
Explain to me in YOUR own words, how convection currents create a cycle? In other words, tell me how heat and cooling create a cycle.
Answer:
because it get the energy from the heat and the cold mixed together
Explanation:
1.45 L of 16°C water is placed in a refrigerator. The refrigerator's motor must supply an extra 10.7 W power to chill the water to 6°C in 0.7 hr. What is the refrigerator's coefficient of performance?
Answer:
The coefficient of performance of the refrigerator is 2.251.
Explanation:
In this case, the coefficient of performance of the refrigerator ([tex]COP[/tex]), no unit, is equal to the ratio of the heat rate received from the water to the power needed to work, that is:
[tex]COP = \frac{\dot Q_{L}}{\dot W}[/tex] (1)
[tex]COP = \frac{\rho\cdot V\cdot c_{w}\cdot \Delta T}{\dot W \cdot \Delta t}[/tex] (2)
Where:
[tex]\dot Q_{L}[/tex] - Heat rate received from the water, in watts.
[tex]\dot W[/tex] - Power, in watts.
[tex]\rho[/tex] - Density of water, in kilograms per cubic meter.
[tex]V[/tex] - Volume of water, in cubic meters.
[tex]c_{w}[/tex] - Specific heat of water, in joules per kilogram-degree Celsius.
[tex]\Delta T[/tex] - Temperature change, in degrees Celsius.
[tex]\Delta t[/tex] - Cooling time, in seconds.
If we know that [tex]\rho = 1000\,\frac{kg}{m^{3}}[/tex], [tex]V = 1.45\times 10^{-3}\,m^{3}[/tex], [tex]c_{w} = 4187\,\frac{J}{kg\cdot ^{ \circ}C}[/tex], [tex]\Delta T = 10\,^{\circ}C[/tex], [tex]\dot W = 10.7\,W[/tex] and [tex]\Delta t = 2520\,s[/tex], then the coefficient of refrigeration of the refrigerator is:
[tex]COP = \frac{\rho\cdot V\cdot c_{w}\cdot \Delta T}{\dot W \cdot \Delta t}[/tex]
[tex]COP = 2.251[/tex]
The coefficient of performance of the refrigerator is 2.251.
GIVING BRAINLIEST PLEASE HELP!!
-if you answer correctly ill give you brainliest which will give you 27pts-
Answer:
C. The lever applies three times more force than you hand can apply.
Explanation:
Since it's advantage is 3, that means you'll have to multiply the input of it by 3, making this apply 3x more force than your hand.
Hope this helped! <3
Source(s): Me and a bit of g*ogle for clarification
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it's Urgent !!!
One of the ways in which a coin operated vending machine checks to make sure that the coins fed to it are genuine is to roll them past a strong magnet. Group of answer choices Coins made of a good conductor will slow down as they roll past the magnet. Coins made of a good conductor will speed up as they roll past the magnet. Only coins made of magnetic materials such as iron will be affected by the magnet. The coins will become magnetized and thus can easily be sorted.
Answer:
Coins made of a good conductor will slow down as they roll past the magnet.
Explanation:
Conduction involves the transfer of electric charge or thermal energy due to the movement of particles. When the conduction relates to electric charge, it is known as electrical conduction while when it relates to thermal energy, it is known as heat conduction.
One of the ways in which a coin operated vending machine checks to make sure that the coins fed to it are genuine is to roll them past a strong magnet. As such, coins made of a good conductor will slow down as they roll past the magnet due to the force of attraction that exists between the magnet and the coin (metal).
This ultimately implies that, the magnet tends to attract the coin to itself and as such slowing down the motion of the coin. Similarly, if it's a fake coin, it simply means it would be a bad conductor and as such it will roll fast past the strong magnet.
A heavy piano is pushed up an inclined plane into a moving van. Which of the following choices best explains how the inclined plane made the task easier?
1. The force needed to move the piano up the plane was less than the force needed to lift it straight up into the van, but the distance over which the piano moved was greater.
2.The force exerted on the piano was the same as if it had been lifted, but the distance it needed to be move decreased, so the total work decreased.
3.The distance that the piano was moved was less that the distance it would have had to be lifted, so the total work decreased.
4. The amount of force need to push the piano up the ramp is the same as the force needed to lift it, so the amount of work remained the same.
The term mechanical advantage has to do with the ratio of the load to the effort.
What is mechanical advantage?
The term mechanical advantage has to do with the ratio of the load to the effort. There is a mechanical advantage when the effort applied is less than the load.
Hence, the task is made easier because the force needed to move the piano up the plane was less than the force needed to lift it straight up into the van, but the distance over which the piano moved was greater.
Learn more about mechanical advantage:https://brainly.com/question/20521425
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It is much more difficult to move a dresser full of clothes than an empty dresser
Answer:
Newton's Law 2
Hope this helps!
Here is a list of ways of producing electricity
A ) Wind farms
B ) Coal fired power stations
C ) hydroelectric power stations
D ) nuclear power stations
E ) gas fired power stations
F ) tidal power stations
G) using geothermal energy
(1) State which of these produces clean electricity
(2) State which of these uses fossils fuel
(3) state which of these uses a renewable energy resources
Please help me
Please do not answer from links
Urgent !!!!!!
Will give the brainliest!
* please answer correctly
Answer:
1) A,B,F,G
2)B,D,E
3) A,C,F,G
Explanation:
A magnifying glass has a converging lens of focal length of 13.8 cm. At what distance from a nickel should you hold this lens to get an Image with a magnification of +2.37?
cm
Answer:
19.6 cm.
Explanation:
From the question given above, the following data were obtained:
Focal length (f) = 13.8 cm
Magnification (M) = +2.37
Object distance (u) =.?
Next, we shall determine the image distance. This can be obtained as follow:
Magnification (M) = +2.37
Object distance (u) = u
Image distance (v) =?
M = v / u
2.37 = v / u
Cross multiply
v = 2.37 × u
v = 2.37u
Finally, we shall determine the object distance. This can be obtained as follow:
Focal length (f) = 13.8 cm
Image distance (v) = 2.37u
Object distance (u) =.?
1/v + 1/u = 1/f
vu / v + u = f
2.37u × u / 2.37u + u = 13.8
2.37u² / 3.37u = 13.8
Cross multiply
2.37u² = 3.37u × 13.8
2.37u² = 46.506u
Divide both side by u
2.37u² / u = 46.506u / u
2.37u = 46.506
Divide both side by 2.37
u = 46.506 / 2.37
u = 19.6 cm
Thus, the lens should be held at a distance of 19.6 cm.