Laboratory experiments, observational field studies, and model-building are all examples of different forms of scientific investigations. In what way do laboratory experiments primarily differ from other forms of scientific investigations?
A.
A laboratory experiment is the only accepted form of investigation within the scientific community.
B.
Studies about how things behave in nature or studies involving very large objects are best answered through laboratory experiments.
C.
Data can only be generated through laboratory experiments, not other forms of investigation.
D.
Laboratory experiments involve the identification and control of variables.

Answers

Answer 1

Answer:D:

Laboratory experiments involve the identification and control of variables.

Explanation:

Answer 2

Its D

Laboraty Expirements inolve the Identification and control of variables


Related Questions

The motion of particles in solids, liquids, and gases are distinct in their behavior. Which state of matter is randomly separated with no regular arrangement and move freely at high speeds?

A. Solid
B.Liquid
C.Mixture
D.Gas

Answers

Answer:

D. Gas

Explanation:

There are only three states of matter: solid, liquid and gas. This makes choice c (Mixture) incorrect because it is not part of the group.

The particles in gas are widely separated, which means there's a lot of free space between the particles. This makes it easily compressible. The particles then move past each other, which causes no regular arrangement.

magnetic induction cannot be done in a wood why​

Answers

Answer:

Magnetic induction cannot be done in a wood because it is not a magnetic person like iron , nickel,and cobalt

A box with a mass of 0.5 slugs lies on an inclined plane making an angle of 30o with the horizontal. If the coefficient of kinetic friction between the box and the plane is 0.4, what is the magnitude of the force that must be applied parallel to the incline to keep the box moving down the incline at a constant speed

Answers

Answer: 10.98 N

Explanation:

Given

mass of box is \(m=0.5\ slugs\approx 7.3\ kg\)

The coefficient of kinetic friction is \(\mu= 0.4\)

It is given that on the application of force box started moving with constant speed i.e. there is no net external force

\(\Rightarrow F+mg\sin 30^{\circ}=\mu mg\cos 30^{\circ}\\\Rightarrow F=mg(\mu \cos 30^{\circ}-\sin 30^{\circ})\\\Rightarrow F=7.3\times 9.8(0.866\times0 .4-0.5)=-10.98\ N\\\)

The negative sign indicates direction of force is opposite i.e. it must be applied upwards

Why does the space station stay in orbit and not just fall to Earth?

A.
Objects in space are weightless
B.
The gravitational force is so weak that it has no effect on the orbit.
C.
It has enough forward velocity to fall around the earth
D.
The atmosphere prevents objects from falling down

Answers

Answer:

C

Explanation:

trust?

Answer:

C. It has enough forward velocity to fall around the earth

Explanation:

This should be the correct answer.

A car is traveling at 28.6 m/s when the driver suddenly applies the brakes, giving the car a constant deceleration. The car comes to a stop in a distance of 105 m. What was the magnitude of the acceleration (in m/s2) of the car?

Answers

The magnitude of the deceleration of the car will be 3.895 meters per second square.

What is the motion in one dimension?

One dimension denotes mobility in a single direction or in a straight line. Think of a vehicle traveling down a straight road or a person walking on a straight track. Imagine throwing something vertically into the air, then observing it fall.

When the driver suddenly presses the brakes, a car that is now moving at 28.6 m/s begins to slow down steadily. Within 105 meters, the vehicle stops.

v² - u² = 2as

0² - (28.6)² = 2 x a x 105

- 817.96 = 210a

a = - 3.895 meters per second square

The magnitude of the deceleration will be 3.895 meters per second square.

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what i have learned
complete the statements below. write your answers on a separate sheet of paper
even before the advent of the telescope ancient aastronomers were able to observe the following

Answers

Even before the advent of the telescope, ancient astronomers were able to observe the following:

1. Celestial Bodies: Ancient astronomers could observe celestial bodies such as the Sun, Moon, stars, and planets. They could track their movements across the sky and study their patterns and behaviors.

2. Solar and Lunar Eclipses: By carefully observing the positions of the Sun, Moon, and Earth, ancient astronomers could predict and witness solar and lunar eclipses. They noticed that during a solar eclipse, the Moon blocks the Sun's light, creating a temporary darkness on Earth, while during a lunar eclipse, the Earth casts a shadow on the Moon, causing it to appear reddish or darkened.

3. Stellar Positions: Ancient astronomers mapped and observed the positions of stars in the night sky. They recognized patterns and constellations, which helped them navigate and keep track of time.

4. Seasons and Celestial Movements: By observing the changing positions of the Sun and its daily and yearly motions, ancient astronomers could understand the changing seasons. They could determine solstices, equinoxes, and the length of days and nights.

5. Comet Appearances: Ancient astronomers were able to observe and document the appearance of comets in the night sky. They recognized these celestial objects as distinct from stars and noted their unusual and transient nature.

These observations formed the basis of ancient astronomy and laid the groundwork for the development of more advanced astronomical techniques and instruments, including the telescope.

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The half-life of a radioactive isotope is 210 d. How many days would it take for the decay rate of a sample of this isotope to fall to 0.58 of its initial rate?

Answers

It would take approximately 546 days for the decay rate of the sample of this radioactive isotope to fall to 0.58 of its initial rate.

1. The decay rate of a radioactive isotope is proportional to the number of radioactive atoms present in the sample at any given time.

2. The decay rate can be expressed as a function of time using the formula: R(t) = R₀ * \(e^{(-\lambda t\)), where R(t) is the decay rate at time t, R₀ is the initial decay rate, λ is the decay constant, and e is the base of the natural logarithm.

3. The half-life of a radioactive isotope is the time it takes for half of the radioactive atoms in a sample to decay. In this case, the half-life is given as 210 days.

4. Using the half-life, we can find the decay constant (λ) using the formula: λ = ln(2) / T₁/₂, where ln(2) is the natural logarithm of 2 and T₁/₂ is the half-life.

5. Substituting the given half-life into the formula, we have: λ = ln(2) / 210.

6. Now, we need to find the time it takes for the decay rate to fall to 0.58 of its initial rate. Let's call this time "t".

7. Using the formula for the decay rate, we can write: 0.58 * R₀ = R₀ * e^(-λt).

8. Simplifying the equation, we get: 0.58 = \(e^{(-\lambda t\)).

9. Taking the natural logarithm of both sides, we have: ln(0.58) = -λt.

10. Substituting the value of λ from step 5, we get: ln(0.58) = -(ln(2) / 210) * t.

11. Solving for t, we have: t = (ln(0.58) * 210) / ln(2).

12. Evaluating the expression, we find: t ≈ 546.

13. Therefore, it would take approximately 546 days for the decay rate of the sample of this radioactive isotope to fall to 0.58 of its initial rate.

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a spring has a spring constant of 330 n/m. how far is the spring compressed when 150 newtons of force are used?
a. 0.0014 meters
b. 0.45 meters
c. 2.2 meters
d. 5.0 meters
show your work​

Answers

Answer:

I think its B

Explanation:

Calculate the potential energy of a 60 kg student sitting in the top row of the bleachers, which are 4 meters from the ground.

Answers

Answer:

2400 J

Explanation:

The potential energy of a body can be found by using the formula

PE = mgh

where

m is the mass

h is the height

g is the acceleration due to gravity which is 10 m/s²

From the question we have

PE = 60 × 10 × 4

We have the final answer as

2400 J

Hope this helps you

Who pays for Government workers that work on alcohol impaired driving cases?

Answers

Answer: Taxpayers

Explanation:

Taking alcohol before driving or while driving is dangerous and has resulted in lots of accidents and deaths. Alcohol tampers with the normal functioning of the brain, and also impairs ones reasoning.

Alcohol impaired driving cases handled by government officials are paid for by the taxpayers. A tax is the levy that the people in the country pays. Those funds are used in handling different government objectives and this is one of such ways.

A dish of ice cream was left out on a table and is beginning to melt. What conclusions can be made?
Energy is being transferred from the table to the dish of ice cream.
Energy is being created by the dish of ice cream and being released into the table.
Energy is being created by the table, causing the ice cream to melt.
Energy is flowing from the air and the table to the ice cream, which causes the ice cream to melt.

Answers

Answer:

Energy is flowing from the air and the table to the ice cream, which causes the ice cream to melt

For the dish of ice cream, energy is flowing from the air and the table to the ice cream, which causes the ice cream to melt.

What is energy transfer?

The energy transfer is the process of conversation of the one of energy into the another form. This energy can be transfer from heat energy to mechanical energy or from light energy to electric energy.

Here, the dish of ice cream was left out on a table and is beginning to melt.

As the dish of ice cream is melt, then there is the endothermic process (the process in which the energy is released in the form of light or heat) take place.

As the endothermic process is the process in which the energy is released in the form of light or heat.

Thus, in order to melt the dish of ice cream, it need to absorb the energy by the ice cream to melt. This energy is transferred from the surrounding to the ice cream.

Thus, for the dish of ice cream, energy is flowing from the air and the table to the ice cream, which causes the ice cream to melt. Option D is the correct option.

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A man walking at 3.56 m/s accelerates at 2.50 m/s2 for 9.28 s. How far does he get?
141 m
26.8 m
44.6 m
248 m

Answers

This is the answer hope you get it :)

A student has two balloons attached to strings and rubs each balloon on one of two different materials. The student wants to know whether or not the balloons have the same sign charge. Which of the following procedures will provide enough information while ensuring the net charge on the balloons is not affected? Select two answers. А. Touching the balloons to each other and observing whether they stick together B. Suspending the balloons near each other and observing which way they deflect C. Suspending each balloon near the material it was not rubbed on and seeing which way it deflects D. Touching each balloon to the material it was not rubbed on and observing whether they stick together

Answers

Suspending the balloons near each other and observing which way they deflect

Suspending each balloon near the material it was not rubbed on and seeing which way it deflects

Can an object be charged by friction?

An object can be charged by friction. When two objects are rubbed against each other, electrons can be transferred from one object to the other, resulting in one object becoming positively charged and the other becoming negatively charged. This is known as the triboelectric effect.

We know that if the objects do have the same charge then they will deflect away from each other but towards each other if they have opposite charges.

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Assuming birdman flies at a height of 78m, how fast should birdman fly to hit the bucket if the bucket is placed 75m from the start of the field?

Answers

The speed of how fast the birdman should be to hit the bucket is 18.8 m/s

The only force acting on the height at which birdman flies is the gravitational force field.

Suppose the initial velocity (u) is parallel to the ground when the time (t) hits the ground.

Then, we can use the second equation of motion to determine the time (t) when the bird hits the ground.

\(\mathbf{S = ut + \dfrac{1}{2}gt^2}\)

\(\mathbf{78 \ m =(0)t + \dfrac{1}{2}(9.8)t^2}\)

\(\mathbf{78 \ m =4.9 t^2}\)

\(\mathbf{t^2 = \dfrac{78 \ m}{4.9 m/s^2} }\)

\(\mathbf{t^2 = 15.918 \ s^2}\)

\(\mathbf{t =\sqrt{ 15.918 \ s}}\)

\(\mathbf{t =3.989\ s}}\)

Now, the speed of how fast the birdman should be to hit the bucket can be determined using;

\(\mathbf{Speed = \dfrac{Distance}{Time}}\)

\(\mathbf{Speed = \dfrac{75 \ m }{3.989\ s}}\)

\(\mathbf{Speed = 18.8 m/s}\)

Therefore, we can conclude that the speed of how fast the birdman should be to hit the bucket is 18.8 m/s

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cheese is made of cheese

Answers

Cheese is made of casein protein, which is originally made from milk and is high in protein. The texture of the cheese is determined by the quality of the milk, so cow's milk cheese differs from goat's milk cheese.

What is a dairy product?

Diary products are made from milk, such as cheese, curd, yogurt, etc., but all of them have different nutrients. The quality of these dairy products depend upon the quality of the milk, as some milking animals have a higher concentration of fats in their milk than other animals. These dairy products are used in different industrial sectors, such as for making ice cream, chocolate, and different food products.

Hence, cheese is made up of casein proteins that are present in the milk.

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Describe the setup of the electromagnet. Why does the wire need to be a conductive material?

Answers

An electromagnet consists of a conductive wire wrapped around a magnetic core, creating a magnetic field when an electrical current is passed through it.

An electromagnet is a type of magnet that is created by running an electrical current through a wire. The setup of an electromagnet involves a few basic components. First, there must be a wire that is conductive, meaning that it can conduct electricity. This wire is usually wrapped around a core, which is often made of iron, steel, or another magnetic material. When an electrical current is run through the wire, it creates a magnetic field around the wire. This magnetic field then magnetizes the core, creating an even stronger magnetic field. The strength of the electromagnet can be controlled by adjusting the amount of current that is run through the wire. The wire must be a conductive material because it needs to be able to carry the electrical current that creates the magnetic field. If the wire were not conductive, then the electrical current would not be able to flow through it, and the magnetic field would not be created. In summary, the setup of an electromagnet involves a conductive wire wrapped around a magnetic core, which is magnetized by the electrical current running through the wire. The wire must be conductive to carry the electrical current and create the magnetic field.

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why is it easy to pull downwards​

Answers

Answer:Because you just really need help on your work!

Explanation:

Answer:

Gravity is on our side. On top of that, the optimal body position allows us to do it.

It is useful to use a _________ to demonstrate how an electric circuit works

Answers

It is useful to use a model in order to demonstrate how an electric circuit works.

What is a model?

In science, a model is a graphical representation that my result useful to predict the behavior of the components of a given system that works together to produce a particular outcome.

For example, an electrical circuit can be modeled by taking into account resistance, voltage, and intensity as parameters of functioning.

The electrical circuits are graphically represented by modeling the movement or flow of negatively charged electrons (e-) from the negative pole to the positive pole of a closed electric circuit.

In conclusion, it is useful to use a model (ie., a scientific model) to demonstrate how an electric circuit works.

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How much heat will change 10 g of ice at 0 ºC to water at 0 ºC?

Answers

How much heat will change 10 g of ice at 0 C to

water at 0 C?

P = E= 12N A 200 cm ² A container weight 21kg and has an area of 200cm². How much pressure does it put on a table


Can someone help​

Answers

Answer:

Weight of 21 kg is misleading as kg is a unit of mass.

F = m g = 21 kg * 9.8 m/s^2 = 206 Newton's

P(pressure) = Force / Area        definition of pressure

1 cm^2 = 1.0E-4 m^2

200 cm^2 = .02 m^2

P = 206 N / .02 m^2 = 10,300 N/m^2 = 10,300 Pascals

50 POINTS!

Question:

Two buses A and B are at positions 60 m and 160 m from the origin at time t = U They start moving in the same direction simultaneously with uniform speed 54 km h-¹ and 36 km h-¹. Determine the time and position at which A overtaken B.


.......
I have solution available but due to less explanation I am unable to understand so please provide PROPER EXPLANATION.
Thanku!

Spam/Palagrised answers will be reported, so please ignore if you don't know. Thanks!​

50 POINTS!Question:Two buses A and B are at positions 60 m and 160 m from the origin at time t = U They

Answers

Answer:

20 seconds

360 meters

Explanation:

On a distance-time graph:

x-axis = time (in seconds)y-axis = distance (in meters)

Therefore:

The starting position (when t = 0) is the y-intercept.The speed of the object (in m/s) is the gradient of the line.  

Bus A

Convert Bus A's given speed of 54 km/h into m/s by dividing by 3.6:

\(\implies \sf 54\; km/h=\dfrac{54}{3.6}=15\:m/s\)

Therefore:

At t = 0, Bus A is at 60 m from the origin.It moves with a uniform speed of 15 m/s.

So the y-intercept is (0, 60) and the gradient is 15.

Substitute this information into the slope-intercept form of a linear equation to create an equation representing the motion of Bus A:

\(\boxed{y=15x+60}\)

Bus B

Convert Bus B's given speed of 36 km/h into m/s by dividing by 3.6:

\(\implies \sf 36\; km/h=\dfrac{36}{3.6}=10\:m/s\)

Therefore:

At t = 0, Bus B is at 160 m from the origin.It moves with a uniform speed of 10 m/s.

So the y-intercept is (0, 160) and the gradient is 10.

Substitute this information into the slope-intercept form of a linear equation to create an equation representing the motion of Bus B:

\(\boxed{y=10x+160}\)

Solution

To find the time when Bus A is at the same position as Bus B, substitute Bus A's equation into Bus B's equation and solve for x:

\(\implies 15x+60=10x+160\)

\(\implies 15x+60-10x=10x+160-10x\)

\(\implies 5x+60=160\)

\(\implies 5x+60-60=160-60\)

\(\implies 5x=100\)

\(\implies \dfrac{5x}{5}=\dfrac{100}{5}\)

\(\implies x=20\)

Therefore, the two buses are at the same position 20 seconds after they start moving.

To find their position at this point, substitute x = 20 into one of the equations and solve for y:

\(\implies y=10(20)+160\)

\(\implies y=200+160\)

\(\implies y=360\)

Therefore, the two buses are at the same position at 360 m from the origin.

Conclusion

Bus A overtakes Bus B 20 seconds after they start moving and at 360 m from the origin.

50 POINTS!Question:Two buses A and B are at positions 60 m and 160 m from the origin at time t = U They

Need a 5 paragraph essay in the eartsh layers and how they function/ benefit the earth!

Answers

There is more to the Earth than what we can see on the surface. In fact, if you were able to hold the Earth in your hand and slice it in half, you'd see that it has multiple layers. But of course, the interior of our world continues to hold some mysteries for us. Even as we intrepidly explore other worlds and deploy satellites into orbit, the inner recesses of our planet remains off limit from us.

However, advances in seismology have allowed us to learn a great deal about the Earth and the many layers that make it up. Each layer has its own properties, composition, and characteristics that affects many of the key processes of our planet. They are, in order from the exterior to the interior – the crust, the mantle, the outer core, and the inner core. Let's take a look at them and see what they have going on.

Like all terrestrial planets, the Earth's interior is differentiated. This means that its internal structure consists of layers, arranged like the skin of an onion. Peel back one, and you find another, distinguished from the last by its chemical and geological properties, as well as vast differences in temperature and pressure.

Explanation:

3. A car with a mass of 1600 kg has a kinetic energy of 125 000 J. How fast is it moving?​

Answers

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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M
An 80% furnace's discharge air temperature is 125 degrees F and is adding heat to a space at the rate of 80,000 BTU's an hour. What is the input rating of the furnace?
a. 60,000 Btu's
b. 120,000 Btu's
c. 75,000 Btu's
d. 100,000 Btu’s

Answers

D. The input rating of the furnace is determined as 100,000 BTU.

What is input rating?

Input power rating means the power, expressed in Watts or one of its multiples, for which the energy storage unit has been designed to operate at nominal conditions.

eff = (output rating / input rating) x 100%

80/100 = 80,000 BTU / input rating

0.8 = 80,000 BTU / input rating

input rating = 80,000 BTU/0.8

input rating = 100,000 BTU

Thus, the input rating of the furnace is determined as 100,000 BTU.

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In a parallel circuit, if one connection is broken
A. all of the connections stop working. B. B only broken one will stop working
C. Nothing happens to circuit.
Explain:

Answers

C hope that helps hens

remarks the number of loops, n, can't be arbitrary because there must be a force strong enough to turn the coil. question if the frequency is doubled, the maximum induced emf is multiplied by ____. PRACTICE IT Use the worked example above to help you solve this problem. An AC generator consists of eight turns of wire, each having area A = 0.0940 m^2, with a total resistance of 11.8 omega. The loop rotates In a magnetic field of 0.549 T at a constant frequency of 62.1 Hz. (a) Find the maximum induced emf.
(b) What is the maximum induced current?
(c) Determine the induced emf and current as functions of time. (d) What maximum torque must be applied to keep the coil turning?

Answers

If the frequency is doubled, the maximum induced emf is multiplied by a  factor of 2.

a) the maximum induced emf is 137.39 V.

b) the maximum induced current is 11.63 A

c)  the induced emf and current as functions of time is given by E = Eₘ sin ωtI = (Eₘ / R) sin ωt

d) the maximum torque required to keep the coil turning is 5.17 Nm.

The frequency of the AC generator is 62.1 Hz

The number of turns of wire, n = 8

Area of each turn of wire, A = 0.0940 m²

Total resistance of wire, R = 11.8 Ω

Magnetic field, B = 0.549 T

The formula to find the maximum induced EMF is given by E = nABω

Where,E is the maximum induced EMF, n is the number of turns of wire, A is the area of each turn of wire, ω is the angular frequency of the coil in rad/s, B is the magnetic field

Substituting the values in the above formula, we get

E = 8 × 0.0940 × 0.549 × 2π × 62.1E = 137.39 V

Therefore, the maximum induced EMF is 137.39 V.

b) The formula to find the maximum induced current is given by

I = E/R

Where,I is the maximum induced current, E is the maximum induced EMF, R is the resistance of the wire

Substituting the values, we get

I = 137.39 / 11.8I

I = 11.63 A

(c) Induced EMF and current as functions of time

E = Eₘ sin ωtI = (Eₘ / R) sin ωt

where Eₘ = maximum induced EMF

(d) Maximum torque required to keep the coil turning

τ = B² A n² ω²/ Rτ

τ = 0.549² × 8² × 0.0940 × (2π × 62.1)² / 11.8τ

τ = 5.17 Nm

Therefore, the maximum torque required to keep the coil turning is 5.17 Nm.

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what is the Vector product of A=2.00i+3.00j+1.00k and B= 1.00i -3.00j -2,00k

Answers

The vector product of A=2.00i+3.00j+1.00k and B=1.00i-3.00j-2.00k is C=9.00i+4.00j-9.00k.

To find the vector product (also known as the cross product) of two vectors, A and B, we can use the following formula:

C = A × B

Where C is the resultant vector, A and B are the given vectors, and × denotes the cross product.

Given A = 2.00i + 3.00j + 1.00k and B = 1.00i - 3.00j - 2.00k, we can substitute these values into the formula to find the vector product:

C = (2.00i + 3.00j + 1.00k) × (1.00i - 3.00j - 2.00k)

Now, let's expand the cross product using the properties of vector products:

C = (2.00i × 1.00i) + (2.00i × -3.00j) + (2.00i × -2.00k) +

   (3.00j × 1.00i) + (3.00j × -3.00j) + (3.00j × -2.00k) +

   (1.00k × 1.00i) + (1.00k × -3.00j) + (1.00k × -2.00k)

Now, let's calculate each of these cross products:

C = (2.00 × 1.00) \(i^2\) + (2.00 × -3.00) i × j + (2.00 × -2.00) i × k +

   (3.00 × 1.00) j × i + (3.00 × -3.00) \(j^2\) + (3.00 × -2.00) j × k +

   (1.00 × 1.00) k × i + (1.00 × -3.00) k × j + (1.00 × -2.00) \(k^2\)

Since i × j = k, j × k = i, and k × i = j, we can simplify the expression further:

C = 2.00k - 6.00i + 4.00i - 9.00j + k - 3.00j - 2.00j - 2.00k

Combining like terms, we get:

C = (2.00i + 4.00i) + (-6.00i - 9.00j - 3.00j) + (2.00k + k - 2.00k)

Simplifying further:

C = 6.00i - 12.00j + k

Therefore, the vector product of A and B is C = 6.00i - 12.00j + k, which can be written as C = 9.00i + 4.00j - 9.00k in terms of i, j, and k.

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Final answer:

The vector product of A and B is -3i - 5j - 9k.

Explanation:

The vector product, also known as the cross product, of two vectors A and B is denoted as A x B. It is a vector that is perpendicular to both A and B. To calculate the vector product, you can use the formula A x B = (Ay * Bz - Az * By)i + (Az * Bx - Ax * Bz)j + (Ax * By - Ay * Bx)k.

In this case, we have A = 2.00i + 3.00j + 1.00k and B = 1.00i - 3.00j - 2.00k. Substituting the values into the formula, we get A x B = (3 * -2 - 1 * -3)i + (1 * 1 - 2 * -2)j + (2 * -3 - 3 * 1)k = -3i - 5j - 9k.

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How much force is needed to accelerate an object of mass 90 kg at a rate of 1.2 m/s²

Answers

Answer:

108 N

Explanation:

Use Newton's second law.

F = ma

F = (90 kg) (1.2 m/s²)

F = 108 N

31. Box A of mass m sits on the floor of an elevator, with box B of mass 2 m on top of it, as shown in the figure above. The elevator is moving upward and slowing down. F_A is the magnitude of the force exerted on box A by box B, F_B is the magnitude of the force exerted on box B by box A, and F_g is the magnitude of the gravitational force exerted on box B. Which of the following ranks the forces in order of increasing magnitude?
(A) F_B=F_A=F_g
(B) (F_B=F_A) (C) F_B<(F_A=F_g)
(D) F_g

31. Box A of mass m sits on the floor of an elevator, with box B of mass 2 m on top of it, as shown in

Answers

The rank of the forces in order of increasing magnitude is Fg < FB < FA.

option D is the correct answer.

What is the net force on elevator moving upwards?

The net force on an elevator moving upwards is determined by the force of gravity acting downwards and the normal force of the elevator acting upwards.

That is, the two forces acting on a person when he is moving in an elevator are:

the force of gravity and the normal force by the elevator.

When the two forces are of equal magnitude, the elevator will be static or moving with constant velocity.

When the magnitude of the two force are unequal, then the elevator will be accelerating upward or downward.

Since the elevator is moving upwards, it implies that the normal force is greater than the force of gravity acting downwards.

the normal force = FB + FAForce of gravity = Fg

The box at the bottom will feel much heavier due to the weight of box and gravity acting downwards.

FA = FB + Fg

Thus, the force exerted on box A is the greatest, followed by the force on box B and then, the smallest is force of gravity.

Learn more about normal force here: https://brainly.com/question/16723324

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An object whose weight is 100 lbf experiences a decrease in kinetic energy of 500 ft lbf and an increase in potential energy of 1500 ft lbf. The initial velocity and elevation of the object, each relative to the surface of the earth, are 40 ft/s and 30 ft, respectively. If g 5 32.2 ft/s2 , determine:
(a) the final velocity, in ft/s.
(b) the final elevation, in ft.

Answers

Answer:

a)  \(v_2=35.60ft/sec\)

b) \(h_2=45ft\)

Explanation:

From the question we are told that:

Weight \(W=100lbf\)

Decrease in kinetic energy \(dK.E= 500 ft lbf\)

Increase in potential energy \(dP.E =1500 ft lbf.\)

Velocity \(V_1=40\)

Elevation \(h=30ft\)

\(g=32.2 ft/s2\)

a)

Generally the equation for Change in Kinetic Energy is mathematically given by

\(dK.E=\frac{1}{2}m(v_1^2-v_2^2)\)

\(500=\frac{1}{2}*\frac{100}{32.2}(v_1^2-v_2^2)\)

\(v_2=35.60ft/sec\)

b)

Generally the equation for Change in Potential Energy is mathematically given by

\(dP.E=mg(h_2-h_1)\)

\(1500=mg(h_2-h_1)\)

\(h_2=45ft\)

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