What principles of science (like facts, laws, and theories) might help explain why similar investigations conducted in many parts of the world could result in the same outcome?

a.

The components of the force are Fx = 2.2163 N, Fy = -0.5445 N and Fz = 0 N

The force on a current carrying conductor in a magnetic field is given by F = iL × B where i = current = 9.00 A, L = 25.0 cmk = 0.25 mk (since the conductor is along the z-direction). B = magnetic field. Since B has component Bx = -0.242T, By= -0.985, and Bz = -0.336, B = -0.242i + (-0.985j) + (-0.336)k = -0.242i - 0.985j - 0.336)k.

So, F = iL × B

F = 9.00 A{(0.25 m)k × [-0.242Ti + (-0.985Tj) + (-0.336T)k]T}

F = 9.00 A{(0.25 m)k × (-0.242T)i + (0.25 m)k × (-0.985Tj) + (0.25 m)k × (-0.336T)k]}

F = 9.00 A{-0.0605mT)k × i + (-0.24625 mT)k × j + (-0.084 m)k × k]}

F = 9.00 A{-0.0605mT)j + (-0.24625 mT) × -i + (-0.084 mT) × 0]}

F = 9.00 A{-0.0605mT)j + (0.24625 mT)i + 0 mT]}

F = -0.5445 AmT)j + (2.21625 AmT)i + 0 AmT]}

F = -0.5445j + 2.21625i + 0 k

F = (2.2163i - 0.5445j + 0 k) N

So, the components of the force are Fx = 2.2163 N, Fy = -0.5445 N and Fz = 0 N

b.

The magnitude of the net force on the wire is 2.282 N

The net force F = √(Fx² + Fy² + Fz²)

F = √[(2.2163 N)² + (-0.5445 N)² + (0 N)²)

F = √[(4.912 N)² + 0.2964 N)² + (0 N)²)

F = √[5.2084 N)²

F = 2.2822 N

F ≅ 2.282 N

So, the magnitude of the net force on the wire is 2.282 N

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a) To determine if the car will hit the object before coming to a stop, we need to calculate the distance required to stop the car, assuming maximum braking deceleration. We can use the following formula:

d = (v^2) / (2a)

where:

d = distance required to stop

v = initial velocity

a = acceleration/deceleration

In this case, v = 100 km/h = 27.78 m/s (converted from km/h to m/s)

a = -7 m/s^2 (negative sign indicates deceleration)

We know that the car's headlights extend out to a range of 30 m, so if the distance required to stop the car is greater than 30 m, the car will hit the object before coming to a stop.

Plugging in the values to the formula, we get:

d = (27.78^2) / (2 x -7) = 108.61 m

Since 108.61 m is greater than 30 m, the car will hit the object before coming to a stop.

b) To calculate the time required to stop, we can use the following formula:

t = v / a

where:

t = time required to stop

v = initial velocity

a = acceleration/deceleration

Plugging in the values, we get:

t = 27.78 / 7 = 3.97 s

Therefore, it will take 3.97 seconds to stop the car.

Answer:

a, b and c or They give clues about Earth's past environments.

They contain valuable resources used for building.

They present opportunities for future use in technology.

Explanation:

The Reasons why Rocks are important to geologists are ; ( A, B, C )

Rocks are the basic elements for the formation of the earth crust, they contain important geological materials like  mineral crystals such as  limestone,  non-mineral like glass,  pieces from other rocks, and fossils.

The study of rocks by geologists provide geologists with important information regarding the presence of mineral resources and the soil composition of the past and present environments.  

Rocks contains important resources such as quartz , glass and limestone which are used as Raw materials for the production of building materials.

Hence we can conclude that The Reasons why Rocks are important to geologists are ; ( A, B, C ).

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Answer:

the acceleration of the train is - 8 m/s² since it is decelerating as the influence of the brake comes to stop

Explanation:

Stone travels at the distance of 44.1 meters far did the stone drop before hitting water.

What is the distance ?

Distance is a numerical and sometimes qualitative measure of how far apart an object or point is. In physics or everyday use, distance can refer to estimates based on physical length or other criteria.

How can distance used in real life?

I am using it in my navigation. Airplane pilots use distance formulas to calculate the distance between their plane and other planes. Find the coordinates of the plane and then apply the distance formula to get the distance.

What is the use of distance?

(i) indicate body position at any point in time; (ii) You can see a graph of the distance your body has moved in a certain period of time. (iii) The object's velocity can be determined at any point in time.

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Answer:

27 degrees Fahrenheit is -2.78°c

We can find the time for which the glider is in contact with the spring by using the impulse-momentum theorem:

Impulse = Change in momentum

The impulse of the force exerted by the spring is given by the area under the force-time graph, which is a triangle:

Impulse = (1/2) * (1 N) * (0.02 s) = 0.01 Ns

The initial momentum of the glider is:

p1 = m * v1 = (0.5 kg) * (0.3 m/s) = 0.15 kg m/s

The final momentum of the glider is zero, since it comes to rest:

p2 = 0 kg m/s

Therefore, the change in momentum is:

Δp = p2 - p1 = -0.15 kg m/s

Setting the impulse equal to the change in momentum and solving for the time gives:

Impulse = Change in momentum

0.01 Ns = Δp = p2 - p1

0.01 Ns = 0 - 0.15 kg m/s

0.01 Ns = -0.15 kg m/s

t = Δp / Impulse = (-0.15 kg m/s) / (0.01 Ns) ≈ -15 s

The negative value for time doesn't make sense physically, so we need to check our work. Looking at the force-time graph, we see that the force is actually zero for most of the time, and only becomes non-zero when the glider is in contact with the spring. Therefore, we need to find the time for which the force is non-zero.

The force is non-zero for a duration of 0.01 s, so this is the contact time:

t = 0.01 s

Therefore, the glider is in contact with the spring for 0.01 seconds.

here's the answer. I'm not too sure about it, but good luck

The time for which the glider is in contact with the spring is approximately 0.17 s.

Momentum is a physical quantity that describes the motion of an object. It is defined as the product of an object's mass and velocity. Mathematically, momentum can be expressed as:

p = mv

where p is momentum, m is the mass of the object, and v is the velocity of the object.

Impulse is the change in momentum of an object that results from the application of a force over a certain period of time. Impulse is equal to the product of force and the time interval over which the force acts. Mathematically, impulse can be expressed as:

J = FΔt

where J is the impulse, F is the force applied to the object, and Δt is the time interval over which the force acts.

The relationship between impulse and momentum is given by the impulse-momentum theorem, which states that the impulse applied to an object is equal to the change in momentum of the object. Mathematically, the impulse-momentum theorem can be expressed as:

J = Δp

where J is the impulse, and Δp is the change in momentum of the object. This theorem is useful in analyzing collisions and other situations where forces act on objects for a finite period of time.

Here in the Question,

To find the time for which the glider is in contact with the spring, we need to use the impulse-momentum theorem, which relates the impulse (change in momentum) of an object to the force applied to it and the time over which the force is applied:

impulse = force x time = change in momentum

The momentum of the glider before it collides with the spring is:

p1 = m1v1 = (0.500 kg)(0.750 m/s) = 0.375 kg·m/s

The momentum of the glider after it rebounds from the spring is:

p2 = m2v2

We can find v2 from the velocity-time graph in Figure 1. At the moment of maximum compression, the velocity of the glider is zero, so we need to find the time at which this occurs. From the graph, we can see that this occurs at about t = 0.02 s. Therefore, the velocity of the glider after rebounding from the spring is:

v2 = -0.750 m/s

(Note that the negative sign indicates that the glider is moving in the opposite direction after rebounding.)

The change in momentum of the glider is:

Δp = p2 - p1 = m2v2 - m1v1 = (0.500 kg)(-0.750 m/s) - (0.500 kg)(0.750 m/s) = -0.750 kg·m/s

The impulse applied to the glider by the spring is equal in magnitude to the change in momentum:

impulse = Δp = -0.750 kg·m/s

We can find the time for which the force is applied by rearranging the impulse-momentum theorem:

time = impulse/force

We can find the force from the force-time graph in Figure 2. The force at the maximum compression is approximately 4.5 N. Therefore, the time for which the glider is in contact with the spring is:

time = impulse / force = (-0.750 kg·m/s) / (4.5 N) ≈ 0.167 s ≈0.17 s

Therefore, Rounding to two significant figures and including the appropriate units, the time for which the glider is in contact with the spring is approximately 0.17 s.

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The researcher did not find strong evidence to support the idea that job applicants with popular names are viewed more favorably than equally qualified applicants with less popular names.

It sounds like the researcher conducted an experiment to investigate whether job applicants with popular names are viewed more favorably than equally qualified applicants with less popular names.

Based on the information provided, the researcher found that the differences in the evaluations of the applicants by the two groups were not significant at the .001 level.

The factors that play an important role in the hiring process for a job:

(1) Qualifications and experience: Employers typically look for candidates who possess the necessary qualifications and experience for the job. This includes education, training, certifications, and work experience.

(2) Skills and abilities: Employers also consider a candidate's skills and abilities related to the job. These may include technical, interpersonal, communication, and problem-solving skills.

(3) Personal characteristics: Personal characteristics, such as motivation, work ethic, and adaptability, can also play a role in the hiring process. Employers may look for candidates who demonstrate a positive attitude, a willingness to learn, and the ability to work well with others.

(4) Fit with company culture: Companies may also consider whether a candidate fits with their company culture, values, and mission. This can include factors such as teamwork, creativity, and innovation.

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Answer: Agree

Explanation:

The idea is that it will be at a farther place at a later period.

q=CV

q=(ϵ0×A)/(d)×(V)

(2.24×10^−9)=((8.08×10^−4)(8.85×10−12))/(d)× (855)

d=2.7294×10^-3

Answer:

534 j

Explanation:

100 lbs = 45.359 kg

work = F * d

         = 45.359 * 9.81  * 1.2 = ~ 534 j

The work done is the dot product of force and displacement. 100 lbs is 45.3 kg in weight. The work done on this weight to make a displacement of 1.2 m is 532.728  J.

Work done in physics is the dot product of  force and displacement. Force exerted on an object if results in displacement, it is said to be work  done on the object. Work done is a vector quantity, thus, both magnitude and direction.

Not any force results in work done. Work is done only if there occurs a displacement. It is given that the weight of object moved is 100 lbs.

1 lbs. = 0.453 kg

thus, 100 lbs. = 45.3 Kg.

Force F = mg

             = 45.3 Kg × 9.8 m/s²

             = 443.94 N

This is the force by its own weight.

Work done = Force × displacement.

                   =  443.94 N × 1.2 m

                   = 532.728  J

Therefore, the work done to move the weight is 532.72 J.

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Answer:

The largest possible range of the projectile is 163.27 m.

Explanation:

Given;

launch speed, u = 40 m/s

angle of projection, θ; between 0⁰ and 90⁰

The range of a projection is given as;

\(R = \frac{u^2sin(2\theta )}{g}\)

The largest possible range will occur at 45 degrees angle of projection;

\(R = \frac{u^2sin(2\theta )}{g} \\\\R = \frac{(40)^2sin(2\ \times \ 45^0 )}{9.8}\\\\R = \frac{(40)^2sin( 90^0 )}{9.8}\\\\R = \frac{(40)^2( 1 )}{9.8} \\\\R = 163.27 \ m\\\\\)

Therefore, the largest possible range of the projectile is 163.27 m.

The average speed of the elderly woman walking around the shopping center is 1.80 km/h.

To calculate the average speed of the elderly woman, we can use the formula for velocity, which is equal to the distance traveled divided by the time taken. In this case, the distance traveled is 0.30 km and the time taken is 10 minutes. However, average speed is generally expressed in units of distance per unit of time, so we need to convert minutes to hours.

There are 60 minutes in one hour, so 10 minutes is equal to 10/60 = 1/6 hours.

Now we can calculate the average speed by dividing the distance traveled (0.30 km) by the time taken (1/6 hours):

Average speed = 0.30 km / (1/6 h)

= 0.30 km * (6/1 h)

= 1.80 km/h

Therefore, the average speed of the elderly woman walking around the shopping center is 1.80 km/h.

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The gravitational potential energy added when the velociraptor and cage is lifted from the ground to a height of 9 m is approximately 15,998.95 joules.

What is Potential Energy?

Potential energy is a form of energy that is stored in an object due to its position or configuration in a system. It is the energy that an object has the potential to possess, or the ability to do work, as a result of its position or state.

The gravitational potential energy (GPE) added when the velociraptor and cage is lifted from the ground to a height of 9 m can be calculated using the formula:

GPE = mgh

Where m is the mass of the velociraptor and cage, g is the acceleration due to gravity (approximately 9.81 m/\(s^{2}\)), and h is the height lifted.

Given that the mass of the velociraptor and cage together is 175 kg, and the height lifted is 9 m, we can substitute these values into the formula:

GPE = mgh

GPE = (175 kg) x (9.81 m/\(s^{2}\)) x (9 m)

GPE = 15,998.95 J (joules)

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Answer:

Explanation:

For resistance , the expression is as follows .

R = ρ L / S where ρ is specific resistance , L is length of wire and S is cross sectional area .

cross sectional area = π x ( .5 x 10⁻³ )²

S = .785 x 10⁻⁶ m²

Putting the values

R = 2.82 x 10⁻⁸ x .50 / .785 x 10⁻⁶

= 1.796 x 10⁻² ohm .

Answer:

x=v.t

The answer: Distance= Speed x Time

And also

Time = Distance/Speed

Speed= Distance/Time

Answer:

The frequency of light can be calculated using the formula:

`c = λv`

Where `c` is the speed of light in a vacuum, `λ` is the wavelength of light, and `v` is the frequency of light.

The speed of light in a vacuum is `3.00 × 10^8 m/s`.

To convert the wavelength from nanometers to meters, we need to divide by `1 × 10^9`.

Thus, the frequency of light with a wavelength of 655 nm is:

`v = c/λ`

`v = (3.00 × 10^8 m/s)/(655 × 10^-9 m)`

`v = 4.58 × 10^14 Hz`

Therefore, the frequency of light with a wavelength of 655 nm is `4.58 × 10^14 Hz`.

Similarly, the frequency of light with a wavelength of 515 nm is:

`v = c/λ`

`v = (3.00 × 10^8 m/s)/(515 × 10^-9 m)`

`v = 5.83 × 10^14 Hz`

Therefore, the frequency of light with a wavelength of 515 nm is `5.83 × 10^14 Hz`.

Finally, the frequency of light with a wavelength of 475 nm is:

`v = c/λ`

`v = (3.00 × 10^8 m/s)/(475 × 10^-9 m)`

`v = 6.32 × 10^14 Hz`

Therefore, the frequency of light with a wavelength of 475 nm is `6.32 × 10^14 Hz`.

So, the frequency of light with a wavelength of 655 nm is `4.58 × 10^14 Hz`, the frequency of light with a wavelength of 515 nm is `5.83 × 10^14 Hz` and the frequency of light with a wavelength of 475 nm is `6.32 × 10^14 Hz`.

As demonstrated, a 2.00 x 103 kg container is pushed to the summit of an incline. The height of the inclination in relation to the bottom is 118000 J if a force of 12000 N is applied along it..

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Answer:

27

Explanation:

The magnitude of a negative number is the absolute value of that number.

|-27| = 27

Answer: 27

The car is moving at approximately 12.5 meters per second.

The kinetic energy (KE) of an object can be calculated using the formula:

KE = 1/2 * m * \(v^2\)

where

KE = kinetic energy,

m =Mass of the object, and

v = velocity.

In this case, we are given the mass (m) of the car as 1600 kg and the kinetic energy (KE) as 125,000 J. To find the velocity .

Substituting the  values , we have:

125,000 J = 1/2 * 1600 kg *\(v^2\)

Now, we can solve for v by rearranging the equation:

\(v^2\) = (2 * 125,000 J) / 1600 kg

\(v^2\) = 156.25 \(m^2/s^2\)

Taking the square root, we find:

v = √156.25\(m^2/s^2\)

v ≈ 12.5 m/s

Therefore, the car is moving at approximately 12.5 meters per second.

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Answer:

The elastic potential energy stored in a spring can be calculated using the formula:

E = (1/2) kx^2

where E is the elastic potential energy, k is the spring constant, and x is the displacement of the spring from its equilibrium position.

Plugging in the given values, we get:

E = (1/2) (80 N/m) (0.1 m)^2

E = (1/2) (80 N/m) (0.01 m^2)

E = 0.4 J

Therefore, the elastic potential energy stored in the spring when it is compressed by 0.1m is 0.4 J.

Answer:

C. Amplitude

Explanation: Amplitude is the maximum displacement from the equilibrium of a wave. Basically the height.   

Answer:

0.5 A

Explanation:

Applying,

V = IR.................. Equation 1

Where V = Voltage, I = current, R = Resistance.

make I the subject of the equation

I = V/R............... Equation 2

From the question,

Given: V = 75 V, R = 150 Ω

Substitute these values into equation 2

I = 75/150

I = 0.5 A.

Hence the cuurent through the resistor is 0.5 A

When reading the simile "Bolt runs as fast as lightning," the most appropriate visual interpretation would be that "Bolt runs very fast."

This simile compares Bolt's speed to that of lightning, which is known for its incredible swiftness. The intention is to emphasize Bolt's exceptional speed by equating it to the rapid movement of lightning.

While the simile highlights Bolt's remarkable speed, it does not specify the manner in which he runs or the impact of each step. Therefore, the options suggesting Bolt runs in a straight line, in a wavy manner, or that each step produces thunder are not directly implied by the simile itself. These additional details go beyond the comparison of speed and introduce elements that are not explicitly mentioned.

Hence, the most accurate interpretation based solely on the simile is that Bolt runs very fast, comparable to the speed of lightning.

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Explanation:

We know that momentum is the product of mass and velocity so

An object's mass times its velocity gives the object's momentum

Hope it will help :)

Explanation:

\( \frac{1}{2}m {v}^{2} \\ \frac{1}{2} \times 2 \times {3}^{2} \\ 1 \times 9 = 9j\)

Answer:

7.2

J

or

80

%

of the original kinetic energy is lost.

Explanation:

Take A Ball For an Example.

Conservation of momentum says that momentum before a reaction and momentum after a reaction must be equal.

Momentum is the product of mass and velocity, so

(

m

v

)

1

=

(

m

v

)

2

Only moving objects have momentum, so all the momentum beforehand is in the moving ball, so

(

m

v

)

1

=

2

k

g

×

3

m

s

−

1

=

6

N

s

This ball stops moving, and now only the

10

k

g

ball moves, so momentum after the reaction is

(

m

v

)

2

=

10

k

g

×

v

m

s

−

1

We know that this is equal to the momentum before, so

10

×

v

=

6

→

v

=

0.6

m

s

−

1

Now for the second part. Calculating kinetic energy is done by the equation

E

=

1

2

m

v

2

which, before the reaction, is

E

=

1

2

×

2

×

3

2

=

9

J

after the reaction, it will be

E

=

1

2

×

10

×

0.6

2

=

1.8

J

Overall, then, the kinetic energy lost is

Δ

E

=

9

−

1.8

=

7.2

J

or, as a percentage,

9

−

1.8

9

×

100

%

=

80

%

of the kinetic energy is lost.

I Hope This Helps.

Answer:

(a) The work done is 0.05 J

(b) The  force will stretch the spring by 3.8 cm

Explanation:

Given;

work done in stretching the spring from 30 cm to 45 cm, W = 3 J

extension of the spring, x = 45 cm - 30 cm = 15 cm = 0.15 m

The work done is given by;

W = ¹/₂kx²

where;

k is the force constant of the spring

k = 2W / x²

k = (2 x 3) / (0.15)²

k = 266.67 N/m

(a) the extension of the spring, x = 37 cm - 35 cm = 2 cm = 0.02 m

work done is given by;

W = ¹/₂kx²

W = ¹/₂ (266.67)(0.02)²

W = 0.05 J

(b) force = 10 N

natural length L = 30 cm

F = kx

x = F / k

x = 10 / 266.67

x = 0.0375 m

x = 3.75 cm = 3.8 cm

Thus a force of 10 N will stretch the spring by 3.8 cm