Perform the following multiplication and write the product in trigonometric form. write the magnitude in exact form. write the argument in radians and round it to two decimal places if necessary.

The x and y components of the net force, F is 4.33N + 17.5N. The magnitude is 18.02 N and the direction is 76.10 N.

The initial velocity is Vi = 3 m/s

(a) F₁x = Fcosθ

Or,  F₁x = 5Ncos30

Or,  F₁x = 4.33 N

F₁y = Fsinθ

F₁y = 5Nsin30

Or, F₁y = 2.5 N

F₂x = 0

F₂y = 15Nsin30

F₂y = 2.5 N

Therefore, the net force is, F = 4.33N + 17.5N

(b) The magnitude of the net force is

F =√Fx² + Fy²

F = √(4.33)² + (1.75)²

F = 18.02 N

So, the magnitude is 18.02 N.

The direction is

θ = Tan⁻¹[Fy/Fx]

Or, θ = Tan⁻¹ [17.5/4.33]

θ = 76.10 N

The direction of the net force is 76.10 N.

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Both are perpendicular to each other so resultant ground reaction force exerted by the floor on the volleyball player's shoes

=2088N approx

In physics, movement is the phenomenon wherein an item adjustments its function with appreciate to time. Motion is mathematically defined in phrases of displacement, distance, velocity, acceleration, speed and body of reference to an observer and measuring the extrade in function of the frame relative to that body with extrade in time. The department of physics describing the movement of items with out connection with its reason is called kinematics, at the same time as the department reading forces and their impact on movement is called dynamics. If an item isn't converting relative to a given body of reference, the item is stated to be at rest, motionless, immobile, stationary, or to have a steady or time-invariant function close to its surroundings. Modern physics holds that, as there's no absolute body of reference, Newton's idea of absolute movement can't be determined. As such, the whole thing within side the universe may be taken into consideration to be in movement.

Friction force=600 N

The normal contact force exerted by the floor on her shoes = 2000 N

Botha are perpendicular to each other so resultant ground reaction force exerted by the floor on the volleyball player's shoes=((600)^2+(2000)^2)^0.5=2088.06130178N

=2088N approx

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No, that is not conceivable. Heat flow in metal rod  is due to temperature differences, but over time, temperature equilibrium is attained, therefore there is currently no temperature difference is  at either end.

Metals vibrate continuously, and when one end of a metal is heated, the other end moves with the heated end. Conduction is the name given to this occurrence. Free electrons transfer the heat to the following atoms.

Even as solids, metals can carry electricity. The presence of delocalized electrons is the cause of this.

All metals are effective electrical conductors. Their conductivity is used to divide them into two groups. For instance, while sodium, potassium, and magnesium exhibit relatively low conductivity, copper, gold, and silver are all good conductors. Thus, they are referred to as normal conductors

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Answer:

398.8

Explanation:

Ann runs 800 meters without sandbags in 3 minutes. if she completes 800 meters with them in 2 more minutes. Ann's speed when jogging with sandbags is 160 m/min 

Speed is defined as the rate at which an object's motion changes in relation to its distance. Since speed is a scalar quantity, the direction of the motion has no bearing on the speed.

It differs from velocity due to this. The rate of change of motion is measured in velocity in a certain direction. Velocity is a vector question, therefore. It's important to move in this way.

Distance to time ratios are used to calculate speed.

Therefore, in this scenario, Speed would travel without a sandbag.

800/3 = 266.66 m/min

Speed while travelling without the sandbag,

800/5 = 160 m/min.

Therefore, the speed while travelling with the sandbag is 160 m/min.

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Answer: In optics, spherical aberration is an image imperfection that occurs due to the increased refraction of light rays that occurs when rays strike a lens or a reflection of light rays that occurs when rays strike a mirror near its edge, in comparison with those that strike nearer the centre.

Explanation:

In optics, spherical aberration (SA) is a type of aberration found in optical systems that have elements with spherical surfaces. Lenses and curved mirrors are prime examples, because this shape is easier to manufacture.

An EMT asks you how he can decrease the chances of being involved in a collision when driving with lights and sirens in progress. Your advice would be as if the lights of the oncoming car are blinding you, glance to the right side of the road rather than at it.

Drivers up to 3,000 feet away can be rendered blind by headlights approaching from behind. If you feel you won't be able to see after a car passes you, slow down and try not to look directly into its headlights.

If approaching headlights are blinding you while you are driving at night, look to the right side of the road. You'll be able to see other automobiles thanks to your peripheral vision. On your car, apply some reflective tape.

Items are visible at night because of their rich color and striking contrast. Reflective tape is a fantastic option to wear as a result of this especially in dark colours.

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The g’s experienced by the driver will be 30.45 g.

The above is a case of uniformly accelerated motion.

So we have to use one of the following equations to solve it,

v = u + at

v^2 - u^2 = 2as

s = ut + 1/2t^2

As we are given the final velocity, initial velocity and the time, therefore the first equation is appropriate.

v = u+ at

Putting v = 0 m/s

u = 20 m/s

t = 0.067 s

0 = 20 + at

The acceleration comes out to be 298.50 m/s^2.

As g = 9.8 m/s^2, dividing the value of acceleration by 9.8 will give the value of g experienced by the driver.

A = 298.50/9.8 = 30.45g m/s^2.

Hence, The g’s experienced by the driver will be 30.45 g.

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When an item procedures the rate of light. it's miles described as theory of relativity

In the theory of relativity, it  implies that as a moving object approaches the speed of light, which is about 186,000 miles per second, the length of the object appears to shrink to zero, relative to the position of the observer.

Lorentz pressure is understood to be independent of body due to the fact because of the combine impact of electric and magnetic fields which is understood to be now no longer body structured as visible in Lorentz Transformation. This is the reason why we do not define electromagnetic fields, electric and magnetic fields together.

Note that Lorentz pressure is stated to be body impartial because dome of its components are acknowledged to return back up as a end result of shifting of body of reference, and this makes them to cancel every other out and therefore they make the resultant lorentz pressure same.

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Answer:

The radius of the orbit must increase.

Explanation:

Answer: the pull of the magnetic field surrounding the earth

Explanation:

The frequency f1 of the string is 319.37 Hz and the number n of the highest harmonic is 50.

[tex]v = \sqrt{ \frac{F}{ \frac{m}{l} } } [/tex]

[tex]v = \sqrt{ \frac{Fl}{m} } [/tex]

[tex] = \sqrt{ \frac{765 \times 0.500}{3.75 \times 10 ^{ - 3} } } [/tex]

[tex] = \sqrt{ \frac{765 \times 0.500}{3.75 \times 10 ^{ - 3} } } [/tex]= 319.37 m/s

The frequency f1 of the string's fundamental mode of vibration is,

[tex]f = \frac{v}{2l} \\ [/tex]

[tex] = \sqrt{ \frac{319.37}{2 \times 0.500} } [/tex]

= 319.37 Hz

The frequency f1 of the string's fundamental mode of vibration is 319.37 Hz.

The number n of the highest harmonic that could be heard by a person who is capable of hearing frequencies up to 16 kHz is,

[tex]f _{n} = nf _{1}[/tex]

[tex]n = \frac{16}{319.37} [/tex]

[tex]n = 50[/tex]

The number n of the highest harmonic that could be heard by a person who is capable of hearing frequencies up to 16 kHz is 50.

Therefore, the frequency f1 of the string is 319.37 Hz and number n of the highest harmonic is 50.

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This problem checks that we understand the relationship between the electric field and the force felt by a test charge. 3000 N/C is the magnitude of electric field at that point.

An electric field (sometimes E-field) is physical field that surrounds the electrically charged particles and exerts force on all the other charged particles in the field, either attracting or repelling them. It also refers to the physical field for a system of the charged particles. Electric fields originate from electric charges and the time-varying electric currents. Electric fields and magnetic fields are both manifestations of electromagnetic field, one of the four fundamental interactions (also called forces) of the nature.

Electric fields are important in the many areas of physics, and are exploited in electrical technology. In atomic physics and chemistry, for the instance, the electric field is the attractive force holding the atomic nucleus and electrons together in atoms. It is also force responsible for chemical bonding between atoms that result in molecules.

The electric field is defined as a vector field that associates to each point in the space the (electrostatic or Coulomb) force per unit of charge exerted on an infinitesimal positive test charge at rest at that point. The derived SI unit for electric field is the volt per meter (V/m), which is equal to the newton per coulomb (N/C).

Examples of the electric fields include the field produced in the dielectric of a parallel-plate capacitor (which creates an electrostatic field) and the electromagnetic wave produced by a radio broadcast monopole antenna (which creates a time-varying field).

The SI unit of electric field is volts per meter (V/m). This unit is equivalent to the Newton's per coulomb. These are derived units where Newton is a unit of force and Coulomb is the unit of the charge.

For the above question:

F= 6μN= 6*[tex]10^{-6}[/tex] and q= 2NC= 2*[tex]10^{-9}[/tex]c, E=?

we know that whenever a charge particle is in electric field experience a force of F= qE

Then |E|= |F|/q= 6*[tex]10^{-6}[/tex]/2*[tex]10^{-9}[/tex] N/C

             =3*[tex]10^{3}[/tex] N/C= 3000 N/C

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Yes, progression is slowly increasing the demand on the body and is necessary for development after a certain level has been achieved.

The process of Progressing your exercise is changing exercise so that it becomes more challenging to your body. A change in exercise prescription could mean changing the intensity of exercise making it more intense and increasing the duration of your exercise.

The overload principle states that the intensity with which an exercise is performed must be high enough above one's normal range for any desired physiological adaptation to occur.

The development of the muscles only take place after a certain level of stress beyond the usual capacity is applied on the muscles, causing the muscles of the body to stress and tear down.

With each tear in the muscles of the body the muscles gross strong as it heals.

This process is slow and required timely input making it sir in nature.

As body gets used to certain extend to the usual method of training the body's muscle development stops. Here comes the user of progression which involves intensifying the the usual method of exercise so that it becomes a challenge for the body to overcome.

Ultimately causing the development of strength in the muscles.

Hence, progression is slowly increasing the demand on the body and is necessary for development after a certain level has been achieved.

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Designing investigations to predict the effect of hurricanes (D) best describes a scientific endeavor.

A scientific endeavor builds scientific knowledge by postulating theories that explains any phenomenon. It might differ from what was already known as the truth. In a scientific endeavor, a problem is first identified, observations are made, hypothesis are created based on the observations and experiments are conducted to prove the hypothesis.

The other options manly focusses on developing devices and technologies to prevent or withstand hurricanes which are examples of engineering endeavors.

Therefore, Designing investigations to predict the effect of hurricanes (D) best describes a scientific endeavor.

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The correct answer is 3.286 kN/m³ .

The ratio of the densities of two different objects or substances is known as specific gravity. The majority of the time, the definition of specific gravity is given as the ratio of the substance's density to the density of water. A substance will float on the surface of water if its specific gravity is greater than 1.

The formula to calculate the unit weight is,

γ=ρg

Here, g is the acceleration due to gravity, and ρ is the density.

mass of  cream did not change

Density of cream = 1005kg/m³

As 1 cup cream  becomes 3 cups,

Therefore,

hence  specific gravity or specific weight  we get m / 3V           ( since m is same but V changed to 3V)

m/V = 1005 kg/m3  

now,  m/3V  = ( 1/3) ( m/V) = ( 1/3) ( 1005 kg/m3) =   = 335kg/m³

Now, unit weight of the whipped cream;

= 335×9.81 = 3286.35N/m³

= 3.286 kN/m³

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Answer:

a

Explanation:

The graph should look like decreasing speed into zero into a permanent negative acceleration brought on by gravity.

What is negative acceleration ?

When an item experiences negative acceleration, its velocity changes in a negative direction, which can suggest that it is moving either slower or faster. In physics, a change in an object's velocity is referred to as "acceleration." Since this change in velocity is a vector quantity, it denotes both magnitude and direction. Positive velocity is likewise a vector, and experiencing negative acceleration means that something is slowing down. In contrast, an item moving at a negative velocity and acceleration is actually going faster.

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Question:

A fox locates its prey, usually a mouse, under the snow by slight sounds the rodents make. The fox then leaps straight into the air and burrows its nose into the snow to catch its next meal. What should the graph look like?

Copernicus heliocentric theory proved that the Earth and the other planets revolve around the Sun.

Other statements from the Copernicus' heliocentric theory were that the Sun was the center of the solar system or of the universe. The Earth and the other planets revolve around the Sun. The Earth takes about an year to revolve around the sun while it spins on its own axis which causes the profession of the equinoxes.

Advantages of the Copernicus heliocentric theory include that it explained the variations in brightness of the planets like Mars and also the phases of the inner planets like Mercury and Venus. It allowed us to measure the distances of various planets from the Sun. It also specified the time period taken by a planet to revolve around the Sun.

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The pH(power of hydrogen) of the solution obtained by mixing 30.00ml of 0.250 m hcl and 30.00 ml of 0.125 m naph is 1.2.

In chemistry, the pH scale is used to define the acidity or basicity of an aqueous solution. Historically, pH stood for "potential of hydrogen." The pH values of acidic solutions are typically lower than those of basic or alkaline solutions.

The pH scale determines how acidic or basic water is. The range is 0 to 14, with 7 representing neutrality. Acidity is indicated by pH values below 7, whereas baseness is shown by pH values above 7. In reality, pH is a measurement of the proportion of free hydrogen and hydroxyl ions in water.

molarity of HCl = moalrity * volume

= 0.250 * 0.030 L

= 0.0075 moles

Moles of NaOH = (0.125) * (0.030L)

= 0.00375 Moles

moles of H + in axcess = Moles HCl - Moles NaOH

= 0.0075 - 0.00375

= 0.00375 moles

total volume = 30 + 30 = 60 ml = 0.060L

[H+] = moles/ volume = 0.00375/0.060L = 0.0625 M

pH = - log [H+]

= - log [0.0625M]

pH = 1.2

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The magnitude of the electric field at the location of the test charge is  15020 N C-1 or V m-1

We have to use F = E q

Given F = 0.751 N, q = 5*10-5 C

So required E = F /q = 0.751/5*10-5

The electric field at the location E = 15020 N C-1 or V m-1

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The acceleration of Team 1 and Team 2 are 22.3 m/[tex]s^{2}[/tex] and  20.6 m/[tex]s^{2}[/tex] respectively.

We have a game of tug of war between two teams.

We have to determine the acceleration of both the teams.

Force is the product of mass and its acceleration for a moving body. Mathematically -

F = ma

According to the question, we have -

TEAM - 1 :

The acceleration of team 1 can be calculated as follows -

F(1) = m(1) a(1)

a(1) = F(1) / m(1) = 1427 / 64 = 22.3 m/[tex]s^{2}[/tex]

TEAM - 1 :

The acceleration of team 2 can be calculated as follows -

F(2) = m(2) a(2)

a(2) = F(2) / m(2) = 1443 / 70 = 20.6 m/[tex]s^{2}[/tex]

Hence, the acceleration of Team 1 and Team 2 are 22.3 m/[tex]s^{2}[/tex] and  20.6 m/[tex]s^{2}[/tex] respectively.

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So you will tell your friend that the distance traveled by the object dropped is not equal to the product of speed and time since the object is also influenced by force of gravity.

The distance is traveled by the object is influenced by force of gravity and it can be calculated as follows;

v² = u² + 2gh

where;

v² = 0 + 2gh

v² =  2gh

h = v²/2g

h = (10²) / (2 x 9.8)

h = 5.1 m

From the calculation above, the distance traveled by the object is actually 5 m.

So you will tell your friend that the distance traveled by the object dropped is not equal to the product of speed and time since the object is also influenced by force of gravity.

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The power it absorbs = 774.4W and the resistance of the heater = 62.5Ω

If we consider the heater as a resistor, we have

P=[tex]v^{2}[/tex]/R

So when connected to the first heater,

P1 = [tex]\frac{v_{1} ^{2}}{R}[/tex]

when connected to the 2nd heater,

P2 = [tex]\frac{v_{2} ^{2}}{R}[/tex]

So solving for R

R= [tex]\frac{v_{1} ^{2}}{P_{1} }[/tex] = [tex](250V)^{2}[/tex]/1000W = 62.5[tex]\ohm\\[/tex]Ω

R=62.5[tex]\ohm\\[/tex]Ω

The power absorbed can be given as

P2 =[tex]\frac{v_{2} ^{2}}{R}[/tex] = [tex]\frac{v_{2} ^{2}}{\frac{v_{1} ^{2}}{P_{1} } }[/tex] = P1[tex]\frac{v_{2} ^{2}}{v_{1} ^{2}}[/tex] = P1 [tex](\frac{v_{2} }{v_{1} } )^2[/tex]

=1000 x [tex]0.88^2[/tex]

⇒ P2 = 774.34W

Power is the rate at which work is done in electronics. The barrier put up to the movement of electrons is called resistance. Power and resistance have a proportionate relationship.

Resistance is a component that aids in measuring resistance to current flow in an electrical circuit, whereas power is the pace at which work is done. In one of them, power is inversely correlated with resistance, and in the other, power is directly correlated with it.

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Answer:

true

Explanation:

Answer:

they are transparent to see the content of goods inside but at the same time what cause it to be transparent is because of the fact that they are created with low-density polyethylene and polypropylene, which are transparent polymers.

Subsolar point is moving from the equator towards the tropic of cancer the season will be spring.

The sun seems to be directly above a planet at this moment, or when the sun's rays are exactly perpendicular to the planet's surface. It can also refer to the area on an astronomical object that is closest to the sun, even if the sun might not be visible.

The subsolar point is the latitude where the sun's rays exactly intersect the Earth's surface perpendicularly. It is the area where the sun is above at noon.

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1) What are the remote and immediate effects of the technology on the health of people?

2) Is there any avenue to handle potential health risks that could be associated with the new technology?

New technology  is always laden with a lot of inherent risk factors. The fact that the development if new technology often has to do  with the exploitation of the resources that help to sustain the environment leaves much to be desired.

When developing new technologies the following should be taken into consideration;

1) What are the remote and immediate effects of the technology on the health of people?

2) Is there any avenue to handle potential health risks that could be associated with the new technology?

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The faces given here adhe, bcgf, cdhg and abfe will contribute for zero flux because the area vector is seen as normal to the electric field for these faces.

When a charge is present in any form on any particle, a point in space has an electric field that is connected to it.

The value of this E is often known as the electric field strength, electric field intensity, or just the electric field that expresses the strength and direction of the electric field.

Volts per meter (V/m) is the electrical field's SI unit. Newton's per coulomb unit is the same as V/m.

These units are derivations from Newton, which stands for force, and Coulomb, which stands for charge.

Thereon we have,

Flux through face efgh,ϕ = ∫ E. dA

= a(j). l^2 (-j) = -al^2

As the electric field provided at the face efgy is E =aj and the area vector is determined as l^2(-j),

Thus, flux through the face abcd,

ϕ2 = (a+bl)j . l^2(j) = al^2 + bl^2 for y = l

Thus, net flux that flows through the cube = ϕ1 + ϕ2 = bl^3

From Gauss law, we know that ϕ = Qenclosed/ ε0

Qenclosed = ε0 ϕE =  ε0bl^3

Thus, after we have substitued the values, we have l = 1m and b=3m

Qenclosed = 3 ε0

The required figure in order for reference to the provided names of faces is attached below.

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The balls cross paths at above the halfway point of the building.

Let us consider the ball dropped down as ball A and the ball thrown up as ball B. The initial speed of ball B is same as that of final velocity of ball A meaning that both balls have same average velocity. So they both cover same distance ( meaning the ball B reaches the top of the roof ) at same time. But the instantaneous velocities differs which means that they cross at halfway point.  

The ball A starts slowly and the speed keeps increasing as it goes farther. The ball B starts faster and the speed keeps decreasing as it goes farther. So when the ball B reaches the halfway mark, the ball A still hasn't reached the halfway mark. This means that the ball B kept rising and at some point above the halfway point, the ball B crosses the ball A.

Therefore, the balls cross paths at above the halfway point of the building ( B ).

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