The charge on the ball developed will be 1.78 x 10⁻⁷ Coulomb.
What is electric field?The field developed when a charge is moved. In this field, a charge experiences an electrostatic force of attraction or repulsion depending on the nature of charge,
Given is an electric field E = 100,000i N/C causes the 5.0 g point charge to hang at a 20° angle.
If T is the tension and θ is the angle, then
The force in x direction Fx = T sinθ
Force in y direction Fy = T cosθ = mg
Dividing both the equation, we have
tan θ = qE /mg
Substitute the given values in the question, we have
q = 5 x10⁻³ x 9.81 x tan 20 /100000
q = 1.78 x 10⁻⁷ Coulomb.
Thus, the charge of ball is 1.78 x 10⁻⁷ Coulomb.
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State and prove bessel inequality
Answer:
hope this helps and if you have any questions please feel free to ask me any time
Statement :- We assume the orthagonal sequence [tex]{{\{\phi\}}_{1}^{\infty}}[/tex] in Hilbert space, now [tex]{\forall \sf \:v\in \mathbb{V}}[/tex], the Fourier coefficients are given by:
[tex]{\quad \qquad \longrightarrow \sf a_{i}=(v,{\phi}_{i})}[/tex]
Then Bessel's inequality give us:
[tex]{\boxed{\displaystyle \bf \sum_{1}^{\infty}\vert a_{i}\vert^{2}\leqslant \Vert v\Vert^{2}}}[/tex]
Proof :- We assume the following equation is true
[tex]{\quad \qquad \longrightarrow \displaystyle \sf v_{n}=\sum_{i=1}^{n}a_{i}{\phi}_{i}}[/tex]
So that, [tex]{\bf v_n}[/tex] is projection of [tex]{\bf v}[/tex] onto the surface by the first [tex]{\bf n}[/tex] of the [tex]{\bf \phi_{i}}[/tex] . For any event, [tex]{\sf (v-v_{n})\perp v_{n}}[/tex]
Now, by Pythagoras theorem:
[tex]{:\implies \quad \sf \Vert v\Vert^{2}=\Vert v-v_{n}\Vert^{2}+\Vert v_{n}\Vert^{2}}[/tex]
[tex]{:\implies \quad \displaystyle \sf ||v||^{2}=\Vert v-v_{n}\Vert^{2}+\sum_{i=1}^{n}\vert a_{i}\vert^{2}}[/tex]
Now, we can deduce that from the above equation that;
[tex]{:\implies \quad \displaystyle \sf \sum_{i=1}^{n}\vert a_{i} \vert^{2}\leqslant \Vert v\Vert^{2}}[/tex]
For [tex]{\sf n\to \infty}[/tex], we have
[tex]{:\implies \quad \boxed{\displaystyle \bf \sum_{1}^{\infty}\vert a_{i}\vert^{2}\leqslant \Vert v\Vert^{2}}}[/tex]
Hence, Proved
Question: How does a lunar eclipse occur? What evidence can you provide to explain that?
Think!!!! Write Claim, Reasoning and add evidence.
Answer:
Claim: Lunar eclipses occur when Earth passes between the Sun and the Moon, blocking the sunlight falling on it.
Evidence: A lunar eclipse is caused by Earth blocking sunlight from reaching the moon and casting a shadow across its surface. A lunar eclipse occurs when the Moon and Sun are on opposite sides of Earth. Sun-blocking Earth casts two shadows on the moon: The umbra is a full, dark shadow, and the penumbra is a partial shadow. Lunar eclipses can be divided into two types: total and partial. A total lunar eclipse occurs when the Moon and Sun are on opposite sides of Earth. A partial lunar eclipse happens when only part of Earth's shadow covers the Moon.
Reasoning: The Moon moves into the shadow of the Earth during a lunar eclipse. This can occur only when the Sun, Earth, and Moon are exactly or very closely aligned (in syzygy) with Earth between the other two, which can happen only on the night of a full moon when the moon is near either lunar node.
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Answer:
Claim: Lunar eclipses occur when Earth passes between the Sun and the Moon, blocking the sunlight falling on it.
Evidence: A lunar eclipse is caused by Earth blocking sunlight from reaching the moon and casting a shadow across its surface. A lunar eclipse occurs when the Moon and Sun are on opposite sides of Earth. Sun-blocking Earth casts two shadows on the moon: The umbra is a full, dark shadow, and the penumbra is a partial shadow. Lunar eclipses can be divided into two types: total and partial. A total lunar eclipse occurs when the Moon and Sun are on opposite sides of Earth. A partial lunar eclipse happens when only part of Earth's shadow covers the Moon.
Reasoning: The Moon moves into the shadow of the Earth during a lunar eclipse. This can occur only when the Sun, Earth, and Moon are exactly or very closely aligned (in syzygy) with Earth between the other two, which can happen only on the night of a full moon when the moon is near either lunar node.
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If the period of a wave is 9.2 s, what is its frequency (in Hz)?
The period of the function is the inverse of the frequency:
⇒ (in other words) [tex]period = \frac{1}{frequency}[/tex]
Since the period is 9.2s:
[tex]Frequency = \frac{1}{period}=\frac{1}{9.2} =0.11_.Hz[/tex]
Answer: 0.11 Hz
Hope that helps!
The area under a force-time graph represents
Answer:
Area under force time graph gives ‘impulse ‘
a steam engine work on its vicinity 285 k heat is released with the help of 225 c energy absorbed to the system what is the efficiency of steam engine explain the use of the rest of the energy physic problem
The efficiency of steam engine is 26.66 %.
What is Efficiency?The efficiency is defined as the work done by the engine divided by the heat supplied.
Work done is the difference between the heat supplied and heat rejected.
So, efficiency η = (Qs -Qr) / Qs
Given is the heat supplied Qs = 225 Joules and heat rejected Qr =285 . then the work done is
W = 225 -225 = - 60 Joules
Efficiency η = 60/225 x 100%
η = 26.66 %
Thus, the efficiency of the steam engine is 26.66 %.
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Identifying Characteristics of Solids
Use the drop-down menus to complete the statements.
The atoms in a solid
The arrangement of atoms in a solid causes it to have a definite
rn are called
solids.??? Please help
Me it’s due RN
The solids whose particles occur in a definite pattern are called crystaline solids.
What is a crystalline solid?The term crystalline solid has to do with the type of solid in which the atoms that components that make up the solid are all in definite positions and occur in a regular repeating pattern.
The particles of a solid are found in fixed positions. The solids whose particles occur in a definite pattern are called crystaline solids.
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a. Remain in a fixed position.
b . Crystalline solids
What are the properties of solid?Some properties of solid are:
solid have a fixed shape and a fixed volumesolid cannot be compressedsolids have high density.force of attraction between the particles in solid is very strong.The space between the particles of solids is negligible.atoms are remain in a fixed positionThe properties of crystalline solid
The atoms that components that make up the solid are all in definite positions Atoms occur in a regular repeating pattern.Hence , The particles of a solid are in fixed positions.
The arrangement of atoms in a solid causes it to have a definite are called crystalline solids.
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How much weight can be placed on the spring so that the end of the spring is 2m above the ground?
The weight must be 288N placed on the end of the spring when it is 2m from the ground.
What is gravitational potential energy?If an object is lifted, work is done against gravitational force. The object gains energy.
Given is a spring has a spring constant of 48 N/m. The end of the spring hangs 8 m above the ground. The final height of weight above the ground, h =2m
Using Hooke's law, expressed as
Force, F = k (x₂-x₁).
Put the values, we get
F = 48 (8-2)
F = 288 N
This force applied on the spring is equal to the weight placed on the spring.
Weight W= 288N.
Thus, the weight must be 288N.
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Which statement best defines work? (2 points) Group of answer choices
-Work is the time it takes to move an object once acted upon by a force.
-Work occurs when balanced forces act on an object and cause movement in the direction of these forces.
-Work occurs when a force causes motion of an object, and this motion is in the same direction of the applied force.
-Work is the distance over time that an object moves once acted on by a force.
Answer:last choice is correct. Work is equally to force times distance
Explanation:to generalize, W is equal to to force as a function of distance integrated over distance. Work is equivilent to energy. See work/force equivalency
Andrea is investigating how increasing the concentration of sugar affects the boiling point of the solution. What would be the best way to present the results to help Andrea see if there is a pattern?
An increase in the concentration of sugar in a solution leads to the increase in boiling point of the solution.
What is boiling point?Boiling point of a solution is that pressure exerted on a liquid by its surrounding is equal to the vapour pressure of the liquid.
When there is an increase in concentration of solute, more space will be occupied in the fluid leading to an increase in the boiling point of the fluid.
Therefore, An increase in the concentration of sugar in a solution leads to the increase in boiling point of the solution.
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Use the drop-down menus to complete each sentence.
The height of the cylinder is manipulated. This is the
variable.
The temperature of the water changes as the height of the cylinder changes. The temperature of the water is therefore the
variable.
A “constant” is a parameter that stays the same regardless of the variables. One parameter of the system that is held constant is the
.
One parameter of the system that is held constant that can be considered is the mass of the water.
What is a constant?In science, the constant is a type of unmodified variable that remains equal along with the experimental procedure.
The constants of a particular system must be considered and they cannot change in experiments or observations.
In conclusion, one parameter of the system that is held constant that can be considered is the mass of the water.
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When the eyes are closed, what sensory organs provide such information?
Answer:
Explanation:
the inner ears and proprioreceptors
Make a 1000-cm³ container. What
will be the dimensions of the
length, width, and height? How
much water will this container
hold? What is the mass of this
amount of water?
Answer:
see below
Explanation:
OK....here is one :
L W H
10 x 10 x 10 cm = 1000 cm^2 this is a cube
the container will hold the volume of 1000 cm^3 of water
which will have a mass 1 kg ( this is a liter)
The nuclear reaction that powers the sun involves the fusion of four protons (mp = 1.673x10-27 kg) into a helium nucleus (mHe = 6.645x10-27 kg). The process involves several steps, but the net reaction is simply: 4p He + energy. How much energy is released overall in each fusion process? Give your answer in J and MeV
Explanation:
it's 5 + 5 + 5 + 12 + 5 x 7 x 7 7+ 8 5+6+ +8 +9 + 9 5
Predict the gravitational force between two 15-kg balls whose centers are 35 m apart.
[tex]F=G\frac{m_1-m_2}{r^2}[/tex]
[tex]=\frac{(6.67\times10^{-11}N*m/kg^2)(15kg) }{(0.35m)^2}[/tex]
[tex]=1.2\times10^{-7} N[/tex]
Because the weight of one ball is mg = 147 N, the gravitational force between the two balls is [tex]1.2\times10^{-7}N[/tex] or [tex]8.4*10^3[/tex] parts per billion of the weight.
ten-story building has identical stairs throughout its stairways. A student calculates the amount of work required to climb one set of stairs and the amount of work to climb the entire ten sets.
Which quantity will remain constant in this experiment?
Answer:
c
Explanation:
A lizard climbs up a building 15.5 m and then turns around and goes down the bulding 23.7 m. This takes the lizard 31.5s. what is the average velocity of the lizard?
1.24 m/s Down
0.26 m/s Down
258 m/s Down
3.8 m/s Down
The average velocity of the lizard for the whole journey is 0.26 m/s Down.
What is average velocity?The term average velocity has to do with the velocity of the lizard for the whole journey. We can see that the downward displacement is greater than the upward displacement.
Thus;
Velocity = displacement / time = 23.7 m - 15.5 m/31.5s = 0.26 m/s Down.
Thus, the average velocity of the lizard for the whole journey is 0.26 m/s Down.
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Which statement about bout waves is correct?
Answer:
In light waves, the electromagnetic fields oscillate perpendicular to the direction of propagation. Hence, sound waves are longitudinal waves whereas light waves are transverse waves.
why is electric current scalar quantity with having direction ?
Explanation:
It represents the direction of flow of positive charge but is treated as a scalar quantity because current follows the laws of scalar addition and not the laws of vector addition. The angle between the wires carrying current does not affect the total current in the circuit.
Answer:
It represents the direction of flow of positive charge but it is treated as a scalar quantity because current follows the laws of scalar addition and not the laws of vector addition, because the angle between the wires carrying current does not affect the total current in the circuit.
A concave mirror has a radius of curvature of 1.6m. Find the focal length
Answer:
given,
Radius of curvature of concave mirror = 1.6m
We know that ,
Focal length = radius/2
Hence ,
Focal length of concave mirror = radius of concave mirror /2
=> F = 1.6/2
=> F = 0.8m
Hence the focal length of concave mirror is 0.8 m
Explanation:
For thousands of years people thought that heavier objects fell faster than lighter objects. In fact, this is something that we can sometimes observe in our everyday lives. But according to Galileo this is wrong! His Law of Falling Bodies says that all objects fall at the same rate. After watching the assigned video please comment on how it is possible that Galileo's theory says one thing but our everyday experience says something else.
Answer:
See below
Explanation:
Gallileo is CORRECT in a vacuum where there is no air friction
air friction affects same or different weight objects differently and will cause same-weight or different weight objects to fall at different speeds
what are transistors and its types
Answer:
A transistor is a semiconductor device used to amplify or switch electronic signals. Transistors are broadly divided into three types: bipolar transistors (bipolar junction transistors: BJTs), field-effect transistors (FETs), and insulated-gate bipolar transistors (IGBTs).
Explanation:
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A person in a hurry averages 70mph on a trip covering a distance of 500 m. what time was required to travel that distance?
The time required to travel that distance at the given speed is determined as 15.84 seconds.
Time of motionThe time of motion of the person is calculated as follows;
Distance = speed x time
time = distance/speed
where;
distance = 500 m = 0.31 miletime = (0.31 mile)/(70 mph)
time = 0.0044 hr = 15.84 seconds
Thus, the time required to travel that distance at the given speed is determined as 15.84 seconds.
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When a metal sphere is dropped in to a tall cylinder containing liquid its acceleration is g/2 (gravity over 2). Shaow that : density of metal =2density of liquid
Answer:
Fm is the net force down on the metal in air
Fm / 2 is the net force down on the metal in liquid
Fl is the buoyant force on the metal due to liquid
Fm - Fl = Fm / 2 equating upward and downward forces
Fm / 2 = Fl
The specific gravity of the metal is twice that of the liquid
Note: F = M g = ρ V g since ρ = M / V
Ultrasound is used to scan the unborn baby of a pregnant mother.
The detector receives an echo from the skull of the fetus 58 us after the pulse leaves the ultrasound
scanner.
Calculate the distance from the ultrasound scanner to the skull to 2 significant figures.
Give the unit for your answer.
(The speed of ultrasound in soft tissue is 1540 m/s
If u add 1.362 and 25.2 what is the correct answer?
Answer:
26.562
Explanation:
1+25= 26
0.362+0.2= 0.562
26+0.562= 26.562
or just use a calculator
Two friends decide to start selling their drone camera aerial footage. Which economic question have they answered?
For whom to produce?
How much to produce?
How to produce?
What to produce?
The brothers that want to start selling their drone camera aerial footage have answered the question, what to produce.
What is an economic question?The term economic question is a question that evaluates the processes involved in production. These questions are;
For whom to produce?How much to produce?How to produce?What to produce?In this case, the brothers that want to start selling their drone camera aerial footage have answered the question, what to produce.
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Answer:What to produce
Explanation:
1. Name three products excreted by plants but commercially used by man. Also state the purpose for which they are used
Answer:
1) Oxygen, It is made as a by-product of photosynthesis. it is used for breathing.
2) Gums, It is a degradation product of cells. It is used in cosmetics, pharmaceuticals, etc.
3) Latex, It is made from the sap of rubber trees. It is used in the manufacture of rubber products.
Explanation: Hope it helps you:))))
Have a good day
two forces x and y are acting at 120 degrees to each other, if the magnitude are 8N and 10N respectively determine their resultant
The resultant force of both forces is 15.62 N.
What is resultant?The Resultant of forces is a single force obtained when two or more forces are combined.
To calculate the resultant of the force, we use the formula below.
Formula:
R = √[a²+b²-2abcos∅]..................... Equation 1Where:
R = Resultant of the forces.∅ = Angle between both forcesFrom the question,
Given:
a = 8 Nb = 10 NSubstitute these values into equation 1
R = √[8²+10²-2×8×10cos120°]R = √[64+100-160cos120°]R =√ [164-160(-0.5)]R = √[164+80]R = √(244)R = 15.62 NHence, the resultant force of both forces is 15.62 N.
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Using the parallelogram law of vectors to obtain the resultant, we have the value 16 N.
What is the resultant force?The resultant force is that force that has the same effect in magnitude and direction as two forces acting together. In this case, we have two forces , 8 N and 10 N inclined at an angle of 120 degrees
Using the parallelogram law of vectors to obtain the resultant;
R = √([8²+10²)-2×8×10cos120°]
R = √164 +80
R = 16 N
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1. What kind of light phenomena happen due to the refraction of light upon hitting the small crystals that make up cirrus or cirrostratus clouds?
2. A light phenomena which are formed when light passes through clouds and strikes
18
the ice crystals in them?
3. A light phenomenon formed from the combination of several light properties like refraction, reflection, and dispersion?
4. Rainbow are created after a rain shower and . 5. What do you call a visible accumulations of tiny water droplets or ice crystals
in the Earth’s atmosphere?
6. Howmanycolorsinrainbow?
7. What kind of rainbows are formed when light strikes small raindrops with almost the same size?
8. What kind of rainbows are formed when two inner reflections are done instead of one; this causes the reversal of colors in a secondary rainbow in comparison to a primary rainbow?
9. What do you call as a reflective surface that is curved inward and away from the light source?
10. What kind of mirror are curved outward like the bottom
of a spoon?
1. The light phenomena happen due to the refraction of light upon hitting the small crystals that make up cirrus or cirrostratus clouds is called Sundogs.
2.A light phenomena which are formed when light passes through clouds and strikes the ice crystals in them is called Halos.
3.A light phenomenon formed from the combination of several light properties like refraction, reflection, and dispersion is Rainbow.
4. Rainbow are created after a rain shower and Sun light.
5. A visible accumulations of tiny water droplets or ice crystals.
in the Earth’s atmosphere are called Clouds.
6. There are seven colors in a rainbow.
7. The kind of rainbows are formed when light strikes small raindrops with almost the same size are Supernumerary rainbows.
8.The kind of rainbows are formed when two inner reflections are done instead of one; this causes the reversal of colors in a secondary rainbow in comparison to a primary rainbow are Secondary rainbows.
9. A reflective surface that is curved inward and away from the light source is concave mirror.
10. The kind of mirror are curved outward like the bottom
of a spoon is convex mirror.
What is reflection?When a light strikes on a shiny surface, it reflects back the light ray in the same medium. The phenomenon is called reflection and the ray is called the reflected ray.
Thus, all the questions are answered.
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a car travels at 50 m/s for first 20 seconds , 30 m/s for next 30 seconds and finally 20 m/s for next 10 seconds . find its average speed
The average speed traveled by car is [tex]35m/s[/tex].
[tex]1^{st}[/tex] case
Speed[tex]=50m/s\\[/tex]Time [tex]=20s[/tex]Distance [tex]=[/tex] [tex]speed*time= 50*20=1000m[/tex]
[tex]2^{nd}[/tex] case
Speed[tex]=30m/s[/tex]Time[tex]=30s[/tex]Distance[tex]=30*30=900m[/tex]
[tex]3^{rd}[/tex] case
Speed[tex]=20m/s[/tex]Time[tex]=10s[/tex]Distance[tex]=20*10=200m[/tex]
Now, The total distance[tex]=(1000+900+200)m=2100m[/tex]
Total time[tex]=(20+30+10)s=60s[/tex]
Average distance [tex]=\frac{total distance}{total time} = \frac{2100}{60}=35m/s[/tex]
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