an object is dropped from a height of 25 meters.at what velocity will it hit the ground?
a.)7.0 m/s
b.)11 m/s
c.)22m/s
d.) 49 m/s
e.) 70 m/s

Answer:

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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

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

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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

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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The resultant force of both forces is 15.62 N.

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:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, 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.

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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Answer:

Explanation:

the inner ears and proprioreceptors

[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.

Answer:

Area under force time graph gives ‘impulse ‘

The time required to travel that distance at the given speed is determined as 15.84 seconds.

The time of motion of the person is calculated as follows;

Distance = speed x time

time = distance/speed

where;

time = (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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The weight must be 288N placed on the end of the spring when it is 2m from the ground.

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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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:))))

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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:

The average velocity of the lizard for the whole journey is 0.26 m/s Down.

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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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.

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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The efficiency of steam engine is  26.66 %.

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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The brothers that want to start selling their drone camera aerial footage have answered the question, what to produce.

The term economic question is a question that evaluates the processes involved in production. These questions are;

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:

Explanation:

it's 5 + 5 + 5 + 12 + 5 x 7 x 7 7+ 8 5+6+ +8 +9 + 9 5

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.

Answer:

26.562

Explanation:

1+25= 26

0.362+0.2= 0.562

26+0.562= 26.562

or just use a calculator

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)

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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The average speed traveled by car is [tex]35m/s[/tex].

[tex]1^{st}[/tex] case

       Distance [tex]=[/tex] [tex]speed*time= 50*20=1000m[/tex]

[tex]2^{nd}[/tex] case

       Distance[tex]=30*30=900m[/tex]

[tex]3^{rd}[/tex] case

       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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The solids whose particles occur in a definite pattern are called crystaline solids.

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

Some properties of solid are:

The properties of crystalline solid

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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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

The radial acceleration of the tip of this hand is 0.274 cm/s². The answer is expressed in centimeters per second squared.

The rate of change of velocity with respect to time is known as acceleration. According to Newton's second law, the eventual effect of all forces applied to a body is its acceleration.

The radial acceleration of the tip of this hand is found as;

[tex]\rm \omega = \frac{2 \pi}{60} \\\\ a_r= \omega^2r\\\\ a= (\frac{2\pi}{60} )^2\times 25\\\\a=0.274 \ cm/s^2[/tex]

Hence,the radial acceleration of the tip of this hand is 0.274 cm/s²

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Answer:

c

Explanation:

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

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.

An increase in the concentration of sugar in a solution leads to the increase in boiling point of the solution.

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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