. Which of the following is the last part of the technological design process? test and evaluate a solution research existing solutions refine the original solution design decide on a solution​

Answer:

60 km/hr

Explanation:

Looking for km / hr

12 km / (.20 hr) =   60 km/hr

By applying the law of conservation of energy, the initial speed of this bullet is equal to 1.8456 m/s.

Given the following data:

First of all, we would apply the law of conservation of momentum to derive an expression for the final velocity of both objects (bullet and block):

m₁u₁ + m₂u₂ = (m₁ + m₂)v

m₁u₁ + 0 = (m₁ + m₂)v

m₁u₁ = (m₁ + m₂)v

v = m₁u₁/(m₁ + m₂)

In order to calculate the initial speed of this bullet, we would also apply the law of conservation of energy:

K.E = U

1/2 × (m₁ + m₂)v² = 1/2kx²

Substituting the value of v, we have:

(m₁ + m₂)[m₁u₁/(m₁ + m₂)]² = kx²

m₁²u₁²/(m₁ + m₂) = kx²

m₁²u₁² = (m₁ + m₂)kx²

u₁² = [(m₁ + m₂)kx²]/m₁²

u₁ = √([(m₁ + m₂)kx²]/m₁²)

u₁ = √([(8 + 4) × 2400 × 0.087²]/8²)

u₁ = √([12 × 2400 × 0.007569]/64)

u₁ = √217.9872/64

u₁ = √3.4061

Initial speed, u₁ = 1.8456 m/s.

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The correct answer is 144 KJ .

Work power, or simply power, is referred to as a physical notion that, depending on the situation and the information at hand, may have a variety of interpretations. The rate of performing labour is referred to as power. Power is defined as the amount of energy used per unit of time. Since it lacks a direction, it is present in scalar amount. Joules/second, or Watt in the SI system, is the unit of power. A watt is the amount of energy required to perform one joule of work in a second.

P = 120 Watts of power

20 minutes plus 60 seconds equals 1200 seconds.

taken t and Energy E= Power P x Time t.

= Work W (or Energy E)/Time

since we know that Power P

Energy E= 120 W x 1200 = 144000 J or 144 KJ

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A. The time taken for the stunt man to hit the mattress is 1.75 s

B. The velocity the stunt man as he slams into the mattress is 17.15 m/s

h = ½gt²

15 = ½ × 9.8 × t²

15 = 4.9 × t²

Divide both side by 4.9

t² = 15 / 4.9

Take the square root of both side

t = √(15 / 4.9)

t = 1.75 s

Thus, it will take the stunt man 1.75 s to hit the mattress

v = gt

v = 9.8 × 1.75

v = 17.15 m/s

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The acceleration of the bucket of mass 2.8 kg which is lifted upwards with a force of 34 N is 12.14 m / s²

According to Newton's second law of motion,

F = m a

F = Force

m = Mass

a = Acceleration

F = 34 N

m = 2.8 kg

a = F / m

a = 34 / 2.8

a = 12.14 m / s²

Acceleration is the rate of change of velocity of an object with respect to time. It is denoted as a.

Therefore, the acceleration of the bucket is 12.14 m / s²

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Answer: a weight of 25n

Explanation:4+5

Einstein was seeking a way to unify electromagnetism and gravity into a single theory.

After all the breakthroughs given by Einstein, he then worked on a " Grand Unified theory" for the last thirty of his life. He believed that all the forces of nature ( Electromagnetism and gravity were the only forces discovered at that time ) must be described by a single theory.

He failed to figure out a way to unify the forces of nature under a single theory. But physicists, even to this day are still working on the Grand Unified theory.

Therefore, Einstein was seeking a way to unify electromagnetism and gravity into a single theory.

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(a) The average speed must you have for the second half of the trip to meet your goal is 8 km/h.

(b) The value obtained (8 km/h) is not reasonable for the second half of the distance since the first half is 48km/h.

Average velocity is defined as the change in position or displacement (∆x) divided by the time intervals (∆t) in which the displacement occurs.

average velocity = total distance / total time

v = (d)/(0.5d/v₁ + 0.5d/v₂)

where;

90 km/h = (d) / (0.5d/48 + 0.5d/v₂)

90(0.5d/48 + 0.5d/v₂) = d

0.9375d + 0.5d/v₂ = d

d(0.9375 + 0.5/v₂) = d

0.9375 + 0.5/v₂ = 1

0.5/v₂ = 0.0625

v₂ = 0.5/0.0625

v₂ = 8 km/h

Thus, the average speed must you have for the second half of the trip to meet your goal is 8 km/h.

The value obtained (8 km/h) is not reasonable for the second half of the distance since the first half is 48km/h.

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Answer:

B. 98.6F is the temperature of dead body in 84.6F atmosphere.

Answer:

See below

Explanation:

After a while, the body will assume the temperature of its surroundings

  and will be  84.6 degrees F

 IMMEDIATLY after death the body will still be at 98.6 F ...but beginning to cool......

The distance they travel is 4.85 km. the magnitude of the couple’s displacement is 1.456 km. The displacement vector is 315 degrees counterclockwise in relation to the east.

The total distance traveled is the overall distance traveled during the entire excursion. However, the displacement is the net distance traveled between the starting location and the final position. Displacement cannot exceed distance in any way. An element of a vector is the displacement. It is a scalar quantity, the distance.

The couple circles a circular lake on foot about 3/4 of the way.

The circle has a radius of r = 1.03 km, or 1030 meters.

The couple's journey begins at point A and ends at point D by taking the path ABCD.

The journey's distance is calculated as follows:

d = 0.75*2*3.14*1.03*d

=4.85 km

The net distance between points A and D is the displacement's magnitude. |d| = |AD|=|r2+r2

= 21.03/2

=1.456 km

The displacement vector is 315 degrees counterclockwise in relation to the east.

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Resistivity is the resistance between opposite faces of a unit cube.

The electrical resistance of a conductor with a unit cross-sectional area and unit length is called resistivity. Resistivity is a distinctive attribute of any material that may be used to compare different materials based on how well they conduct electric currents. Low conductivity is indicated by high resistance.

The Greek letter rho is frequently used to represent resistance, which is numerically equivalent to the resistance R of a wire-like specimen, multiplied by its cross-sectional area A, and divided by its length l; RA/l. The ohm is the measurement of resistance. Units of ohm-centimeter can be used to represent resistance when lengths are measured in centimeters. The temperature of the material also affects the value of resistivity.

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A. Reducing its mass to one-quarter of its original value;  will reduce the kinetic energy of the object by half.

Kinetic energy is a type of power that a moving object or particle possesses. An item accumulates kinetic energy when work, which involves the transfer of energy, is done on it by exerting a net force. A moving object or particle has kinetic energy, which depends on both its mass and its rate of motion. The type of motion can be vibration, rotation on an axis, translation (or travel along a path from one place to another), or any combination of these.

A body's translational kinetic energy is equal to half of the product of its mass, m, and its velocity, sq,v,

The formula of kinetic energy = 1/2 x mv^2

Since it is based on the mass of the object, the kinetic energy also gets reduced by half along with the mass.

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Answer:

57.98 °Fahrenheit =

14.4333 °Celsius

Explanation:

(rounded to 6 digits)

Answer:

See below

Explanation:

The lead swimmer will finish in   44 m / 5 m/s = 8.8 seconds

   the second swimmer has to cover the 44 m PLUS the length he is behind

     the first swimmer in the same amount of time

         (44 m +  1/2 s * 5 m/s) / 8.8 s   = 5.284 m/s

2A

Given ,

Resistance=60

V=12

V=IR

I=V/R

I=120/60=2A

The pace at which electrons flow past a location in a complete electrical circuit is defined as current. At its most fundamental, current Means flow.

An ampere (AM-pir), sometimes known as an amp, is the international unit for measuring current. It denotes the number of electrons (also known as "electrical charge") that pass across a location in a circuit over a specific time period.

A current of one ampere indicates that one coulomb of electrons—that is, 6.24 billion billion (6.24 x 1018) electrons—moves across a circuit in one second. The method is comparable to determining how many gallons move through a single spot in a pipe in one minute (gallons per minute, or GPM).

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The volume is 4cm³.

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The total distance that is traveled is 12 inches.

We know that distance is a scalar quantity. The term distance only has to do with the difference between two points. The direction is not taken into cognizance when we are discussing the distance that has been covered.

As we have said that distance is a scalar quantity, it the follows that the process of obtaining the total distance can only be algebraic given that we could directly add all the distance covered by the ant in order to obtain the total distance of the ant.

Now, we can see that the ant starts at the 17-inch mark, crawls to the 21-inch mark, then moves to the 8-inch mark. The total distance covered is obtained from; (21 - 17) + 8 = 12 inches.

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Answer:

Explanation:

I got the same thing. So, i don't know but good luck

The experiment was well designed.

An experiment is used to determine cause and effect relationships. We know that in this case, the research is aimed at being able to obtain the relationship that exists between the amount of nitrogen in the soil and the production of tomatoes per plant.

As we could see, the experiment includes a control that serves as a baseline for determining the validity of the results. Further more, the  sunlight, water and soil were held constant. The experiment was even repeated further south to verify the results.

Based on a careful review of the experiment, the experiment was well designed.

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The velocity, if the satellite moves to an orbital radius of 4r is V/√4

We know that,

V = √ ( G M / r )

where,

V = Orbital velocity

G = Gravitational constant

M = Mass of the satellite

r = Radius of the orbit

Given that,

r' = 4r

V' = √ ( G M / r' )

V' = √ ( G M / 4r )

V' = ( 1 / √ 4 ) ( √ ( G M / r ) )

v' = v / √ 4

Orbital Velocity is the velocity at which one object revolves around another object in a orbit in uniform circular motion

Therefore, the velocity of the satellite that moved to an orbital radius of 4r is V/√4

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The diagram that shows how sunlight is radiated back into the Earth’s atmosphere as heat(infrared radiation) is of the Greenhouse effect.

The greenhouse effect is a natural phenomenon that occurs on Earth and heats up our atmosphere.

The name of this effect is derived from a greenhouse, which is used to grow crops in a special environment.

A greenhouse is basically a house that is made up of glass. The glass allows heat to enter the house but it does not allow the heat to escape to the outside thus keeping the greenhouse warm.

Some gases that are responsible for this effect are known as greenhouse gases. These gases are carbon dioxide, methane, chloro- fluoro carbons, etc.

These gases trap the heat of the sun and raise the temperature of Earth thus causing global warming.

Thus, the diagram that shows how sunlight is radiated back into the Earth’s atmosphere as heat(infrared radiation) is of the Greenhouse effect.

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We know that the distance is the difference between two points. The distance covered is a scalar quantity hence we can obtain the total speed algebraically. The displacement is a vector quantity hence we must obtain it geometrically.

Total distance =  7 km +  5 km  = 12 km

Total displacement = √7^2 + 5^2 = 8.6 km East of North

Average speed = 12 km/ 2 hours = 6 Km/hr

Average velocity = 8.6 km East of North/2 hours = 4.3Km/hr  East of North

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No, the sun's gravitational pull is not same at all seasons of the year

The gravitational force between the Sun and Earth depends on the earth's distance from the sun and hence it  varies over the course of a year. This is because the Earth’s orbit is an ellipse, bulged at the poles like an orange rather than a perfect circle. Earth’s average distance from the sun is approximately 150 million km , closest distance to the Sun is 146 million km, the largest distance is about is 152, so the distance varies by about 5.

The gravitational force between two bodies depends on their mass (how heavy they are) and their distance, and the distance changes according to the rotation an d revolution of the earth around the sun so the gravitational force also varies.

Earth revolves around the sun in its elliptical orbit and hence the force is balanced out due to certain factors and does not spiral out from its orbit. The change in gravitational force is balanced out due to certain factors such as change in speed of rotation and more and hence the gravitational pull on the earth is not the same .

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[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

Here we go ~

So,

[ taking unit vector along north be [tex]{ \sf \hat{j}} [/tex] ]

[ taking unit vector along west be [tex]{ \sf \hat{i}} [/tex] ]

[tex] \qquad \dashrightarrow\sf \: V_{wr}= V_{w} - V_{r }[/tex]

[ where [tex]{ \sf V_{wr}= } [/tex] Relative velocity of wind with respect to runner ]

[tex] \qquad \dashrightarrow\sf \: V_{wr}= - 3 \hat{ j} - ( - 4 \hat{i})[/tex]

[tex] \qquad \dashrightarrow\sf \: V_{wr}= - 3 \hat{ j} + 4 \hat{i}[/tex]

That is : 3 m/s towards south and 4 m/s towards east.

So, it makes an angle of 37° with south, and 53° with East.

[ The resultant is depicted by yellow arrow in attachment ]

[tex] \qquad \dashrightarrow\sf \: |V_{wr} | = \sqrt{3 {}^{2} + 4 {}^{2} }[/tex]

[tex] \qquad \dashrightarrow\sf \: |V_{wr} | = \sqrt{9 + 16 }[/tex]

[tex] \qquad \dashrightarrow\sf \: |V_{wr} | = \sqrt{25 }[/tex]

[tex] \qquad \dashrightarrow\sf \: |V_{wr} | = 5 \: \: m/s[/tex]

[tex] \dashrightarrow \sf \tan( \alpha) = \dfrac{b\: \sin \theta}{b + a \sin( \theta) } [/tex]

[tex]{\sf \theta }[/tex] = angle between the two vectors ( along east and south) i.e 90°

[tex] \dashrightarrow \sf \tan( \alpha) = \dfrac{4\: \sin (90 \degree)}{3+ 4 \cos( 90 \degree) } [/tex]

[tex] \dashrightarrow \sf \tan( \alpha) = \dfrac{4 \times 1}{3+( 4 \times 0)} [/tex]

[tex] \dashrightarrow \sf \tan( \alpha) = \dfrac{4}{3} [/tex]

[tex] \dashrightarrow \sf \alpha = \tan {}^{ - 1} \bigg( \dfrac{4}{3 } \bigg)[/tex]

[tex] \dashrightarrow \sf \alpha = 53 \degree[/tex]

So, it's direction is 53° east from south ~

Answer:

he intellectual and practical activity encompassing the systematic study of the structure and behaviour of the physical and natural world through observation and experiment.

Answer:

D. Located outside line AB

Explanation:

I do not have a Columb table with me, so it could be B. or C., but if I did the math right, then I think the answer is D.

Answer:

+4m/s

Explanation:

You drive your car 2 km to the gas station, 4 km to the shopping mall to let your mother off, and 4.5 km back home. The trip takes 20 min, then  velocity is 4 m/s.

When an item is moving, its velocity is the rate at which its direction is changing as seen from a certain point of view and as measured by a specific unit of time.

Uniform motion an object is said to have uniform motion when object cover equal distance in equal interval of time within exact fixed direction. For a body in uniform motion, the magnitude of its velocity remains constant over time.

Given in the question you drive your car 2 km to the gas station, 4 km to the shopping mall to let your mother off, and 4.5 km back home. The trip takes 20 min.

The velocity in m/sec is given as 4 m/s.

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Yes, the object is made of gold if  the yellow object has a mass of 57.9 g and its volume is 3 [tex]cm^{3}[/tex].

Mass of object = 57.9 g

Volume of object = 3  [tex]cm^{3}[/tex]

Also, given density of gold: 19.3 g/[tex]cm^{3}[/tex]

We know that, Density = Mass/Volume

= 57.9/3

=19.3 g/[tex]cm^{3}[/tex]

So we calculated the density from the given data in question.

As the density of gold and the given yellow object is same we can conclude that the object is made of Gold.

It is yellow too which is a property of gold and the density is same as well.

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