A 0.250 kg mass is attached to a spring with k=18.9 N/m. At the equilibrium position, it moves 2.89 m/s. What is the amplitude of the oscillation? (Unit=m)

Answers

Answer 1

Answer: the frequency of the oscillation is given by ω=√(k/m)=√(18.9/2.5)=2.75.  Keep in mind this is angular frequency, i.e. radians per second, not wavelengths per second.  So the displacement can be written in the form

y = R*sin(2.75*t - δ)

Here δ is just the time offset and for our purposes is pretty irrelevant.  You can in fact set it to zero since we can say we begin timing when the mass crosses equilibrium.  So

y = R*sin(2.75*t)

We want to find a way to use the information "At the equilibrium position, it moves 2.89 m/s."  I am going to use some calculus here since it makes things so much easier.  If you haven't taken calculus yet, most likely your course has given you a formula to use instead.

 We know y=0 when t=0, so y is at equilibrium when t=0.  To say it moves 2.89 m/s is then to say that

y'(0) = 2.89.

From here we can differentiate the displacement function, set t=0 and solve for R.  Using the chain rule:

y'(t) = 2.75*R*cos(2.75*t)

y'(0) = 2.75*R

2.75*R = 2.89

R = 1.051

Explanation: Since this is harmonic motion we can assume there is no damping force

Answer 2

Answer:

its .33

Explanation:

trust me


Related Questions

Two crewmen pull a raft through a lock, as shown in the figure(Figure 1). One crewman pulls with a force of 130 N at an angle of 34 ∘ relative to the forward direction of the raft. The second crewman, on the opposite side of the lock, pulls at an angle of 45 ∘ . With what force should the second crewman pull so that the net force of the two crewmen is in the forward direction?

Answers

Final answer:

The second crewman should pull with an amount of force calculated through splitting the forces into components along and perpendicular to the direction of motion, and solving for the conditions that have to be met so that the net force is in the forward direction.

Explanation:

The subject at hand involves the calculation of forces in static equilibrium. A crucial concept used in this problem is the summation of forces both in the forward direction and perpendicular to it to ensure the net force is towards the forward direction. We add the forces like vectors, meaning we should take into account both their magnitudes and their directions.

Step 1: Calculate the y-component (perpendicular to forward direction) and x-component (forward direction) of the forces applied by the first crewman. The x-component equals force * cos(angle), and the y-component equals force * sin(angle). For the first crewman, x1= 130 cos(34) and y1 = 130 sin(34).

Step 2: The second crewman should pull such a way that his force's y-component neutralizes the first crewman's force's y-component and generates the same x-component to ensure the net force is in the forward direction. Hence, the forces for the second crewman should satisfy x1 = x2 and y1 = - y2. Therefore, for the second crewman, x2 = 130 cos(34) and y2= -130 sin(34).

Step 3: Use the Pythagorean theorem to calculate the force of the second crewman, which equals sqrt(x2^2 + y2^2). This will give you the magnitude of the force the second crewman should apply to ensure the net force is in the forward direction.

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Final answer:

The force exerted by the second crewman can be found by calculating the components of the forces involved, and requiring that they balance out to result in a net force in the forward direction only. This involves calculus and vector resolution in Physics.

Explanation:

The situation you're describing relates to vector resolution and addition in Physics. To find the force exerted by the second crewman, we'll need to use trigonometry. First, we can calculate the horizontal component of the force exerted by the first crewman, which is 130 N cos(34°), and the vertical component, which is 130 N sin(34°).

Since the net force should only be in the forward direction, the vertical component of the second crewman's force should exactly cancel out with the vertical component of the first crewman's force. Therefore, it should be equal to -130 N sin(34°). Given the angle of 45°, we can then express this force as F sin(45°) and solve for F.

So, if we set F sin(45°) = -130 N sin(34°), we can solve for F to find out the force that the second crewman should exert. This principle of resolving forces into components and adding them can be applied to a plethora of Physics problems, such as calculating the net force exerted on a barge by tugboats or the rate of acceleration of skiers towed by a boat.

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what is the kinetic energy of a 150gram object moving at a velocity of 100m/s?

Answers

Answer:

kinetic energy = 1 ÷ 2 × mass ×velocity ^2

kinetic energy = 1 ÷ 2 × 0.15 × 100^2

Kinetic energy = 750 Joules

Explanation:

NOTE ; S.I unit of mass is kilograms


Which two statements about composite materials are true?
They're made up of more than one substance.
They have the same or similar properties as the materials used to make them.
They're always made of metal.
They're readily available in nature.
Reset
Next

Answers

Answer:

They have the same or similar properties as the materials used to make them.

Explanation:

A scientist is creating different waves in a laboratory. If she doubles the frequency of a wave while keeping the wave speed constant, what happens to the
wavelength of the wave?
A. It doubles.
B. It is halved.
C. There is no change.
D. It quadruples

Answers

Answer:

I'm not 100% sure of the answer but I think it is A. It doubles

Explanation:

Hope this helps!

What is the speed of a 1200 kg car moving
with a kinetic energy of 15 kJ?

Answers

Answer:5m/s

Explanation:

Kinetic energy=ke=15kj=15x1000j=15000j

Mass=1200kg

Speed=√(2ke/m)

Speed=√(2x15000/1200)

Speed=√(30000/1200)

Speed=√(25)

Speed=5m/s

45kg box is pulled by a rope at an angle of 30degrees with a force of 350N what are the components of the forces?

Answers

Answer:

Force in the x component = 303.1[N]

Force in the y component = 175[N]

Explanation:

For the force of 350[N], we have the following components according to the angle.

[tex]F_{x}=350*cos(30) = 303.1[N]\\ F_{y}=350*sin(30) = 175[N]\\[/tex]

Final answer:

The components of the 350 N force acting on a box at a 30° angle are approximately 303 N horizontally and 175 N vertically, calculated using trigonometric functions.

Explanation:

To find the components of the force being applied to a 45 kg box that is pulled by a rope at an angle of 30 degrees, we can use trigonometric functions. Given a force of 350 N, we can break this force down into horizontal (x-component) and vertical (y-component) components. The horizontal component (Fx) is found using cosine function, and the vertical component (Fy) is found using sine function.

The horizontal component (Fx) is:
Fx = F × cos(θ) = 350 N × cos(30°)

The vertical component (Fy) is:
Fy = F × sin(θ) = 350 N × sin(30°)

Next, we calculate these values:

Fx = 350 N × 0.866  (since cos(30°) = 0.866)Fy = 350 N × 0.5  (since sin(30°) = 0.5)

Therefore, the components of the force are:

Fx = 303 N (approximated)Fy = 175 N

Explain the difference between low and high frequency waves.

Answers

Answer:

A low frequency sound (say, 50 hz) might sound like a low rumble, while a high frequency sound (say 12,000 hz), might sound more like a "sizzle". ... The higher the frequency, the shorter the distance between each successive compression (or rarification) in the incoming sound wave. This distance is called the "wavelength".

Explanation:

The number of cycles per second (Hertz) (abbreviated as, hz) of anything that oscillates is called the "frequency". The electricity of an AC wall outlet is said to have a frequency of 60 Hertz as it cycles negative then positive 60 times each second.

Sound is an oscillating wave, but it has a broad range of frequencies. A low frequency sound (say, 50 hz) might sound like a low rumble, while a high frequency sound (say 12,000 hz), might sound more like a "sizzle". A person with normal hearing can hear all the way up to about 20,000 hz.

Sound is actually more like "compression" waves, rather than waves on the ocean. When something makes a sound, the air is compressed or rarified in waves that travel out from that source in all directions. When those compressed or rarified areas of air hit your eardrum, it vibrates in sympathy with those compression waves in the air and allows you to hear.

The higher the frequency, the shorter the distance between each successive compression (or rarification) in the incoming sound wave. This distance is called the "wavelength". Sound travels at about 750 miles/hour, so the compression waves between 100 hz and 20,000 hz have wavelengths that range between several feet (for the 100 hz sound) to a fraction of an inch (for the 20,000 hz sound).

Speech also has a range of frequencies, but it mostly limited to the range between a hundred (or so) hz and 8,000 (or so) hz. The frequencies that make up vowel sounds are typically lower frequencies, while the consonant sounds (at least the parts that help us hear which consonant sound was spoken) tend to be higher frequency sounds.

People with even moderately good hearing up to about 3,000 hz can understand speech fairly well. Wired telephones typically do not transmit sound above 3,500 hz.

When people have a hearing loss, they usually have less ability to hear some frequencies than to hear other frequencies. This creates a distortion that can make it difficult to understand speech. Usually, people with hearing loss have poorer hearing in high frequencies than in low frequencies, but some people may lose lower frequencies, or even middle frequencies, while having less loss in other frequencies.

Hearing aids now have the ability to be tuned to amplify different frequencies by differing amounts, so that it fills in where you need the amplification without giving you too much sound in frequencies where you hear better.

The low frequency wave has longer wavelength and less energy compare to high frequency waves.

What is frequency of wave?

The frequency of a repeated event is its number of instances per unit of time. It differs from angular frequency and is sometimes referred to as temporal frequency for clarification. The unit of frequency is hertz (Hz).

A wave's wavelength and frequency are inversely proportional. Accordingly, waves with high frequencies have a short wavelength, whereas waves with low frequencies have a longer wavelength.

Very, very short wavelengths characterize light waves. While blue and purple light have even shorter waves with wavelengths around 400 or 500 nanometers (nm), red light waves have wavelengths about 700 nm. With wavelengths ranging from millimeters to kilometers, radio waves, another kind of electromagnetic radiation, have far longer waves than light.

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you are riding on a train traveling 80 km/h. if you walk toward the back of the train at a speed of 1.2 km/h relative to the train, what is your velocity relative to the ground?

Answers

Answer:

Velocity of the passenger = 78.8[km/h]

Explanation:

In order to solve this problem, we must observe the train from a distant point of the train. In this way we can observe that the train moves at 80[km/h] relative to the ground.

In such a way that the passenger moves in a direction contrary to the movement of the train.

[tex]v_{pass}=80-1.2\\ v_{pass}=78.8[km/h][/tex]

The Observer located outside the train will see how the passenger moves away at 78.8 [km / h] and not at 80[km/h] which is the speed of the train.

(1) find the density of a substance if the mass of the substance is 150kg and dimension 20mby10mby5m

Answers

Answer:

0.15kg/m³

Explanation:

Density = mass/ volume

Given that

Mass = 150kg

Note that volume = length x breadth x height

Volume = 20 x 10 x 5

Volume = 1000m³

Density = mass ➗ volume

Density = 150kg ➗ 1000m³

Density = 0.15kg/m³

I hope this was helpful, Please mark as brainliest  

Final answer:

The density of the substance is calculated by dividing its mass by its volume. With a mass of 150kg and volume of 1000m³, the density is 0.15 kg/m³.

Explanation:

To find the density of a substance, you need to divide its mass by its volume. The given mass of the substance is 150kg, and the dimensions provided are 20m by 10m by 5m. First, you have to calculate the volume by multiplying these dimensions together:

Volume = length × width × height = 20m × 10m × 5m = 1000m³.

Now, you can calculate the density using the formula:

Density = mass / volume = 150kg / 1000m³.

Therefore, the density of the substance is 0.15 kg/m³.

The volume of a substance must be measured several times during an experiment. Which units should be used to
measure the volume of the substance?
centimeters
milligrams
kelvins
liters

Answers

liters should be used for volume

Answer:

liters should be used for volume

Explanation:

What is the motion of the particles in this kind of wave?

A. The particles will move up and down over large areas.
B. The particles will move up and down over small areas.
C. The particles will move side to side over small areas.
D. The particles will move side to side over large areas.

Answers

Option B

The particles will move up and down over small areas is the motion of the particles in this kind of wave

Explanation:

The given image demonstrates the traverse waves. In a transverse wave, the particle displacement is upright to the path of wave generation. The particles do not go along with the wave; they solely swing up and down about their particular stability stands as the wave crosses by.

Representatives of transverse waves involve oscillations on a string and ripples on the covering of water. In a transverse wave, the particles are uprooted straight to the track the wave journeys.

Answer:

ITS B
PLEASE GIVE THE OTHER KID BRAINLIEST HE OR SHE DESEREVES IT

Explanation:

Which of the following would best model the Doppler effect?
A. A toy boat moves through a small pool. The water waves around the boat appear to bunch together in front of the boat and spread further
apart behind the boat.
B. A strobe light flickers on and off in a room, causing people to appear to move more slowly.
C. A pencil is held loosely at one end and is moved up and down. This motion creates the illusion that the pencil is made of rubber.
D. A person on a moving train observes that a book is at rest, but a person observing the train from a stationary platform observes that the book
is in motion.

Answers

Answer:

A?

Explanation:

The best model which can follow the Doppler effect is a pencil which is held loosely at one end and is moved in the direction of up and down. This motion of the pencil creates the illusion that the pencil is made of rubber. Thus, the correct option is C.

What is Doppler effect?

The Doppler effect is also called as the Doppler shift. This type of effect can be described through the changes in the frequency of any kind of the sound wave or the light wave which is produced through a moving source with respect to an observer.

Waves have been found to be emitted by an object which are traveling towards an observer when they get compressed and are prompting a higher frequency of wave as the source approaches the observer.

A model of the Doppler effect is a pencil which is held loosely at its one end and is moved in the up and down directions. This motion has been found to create the illusion which the pencil is made of rubber.

Therefore, the correct option is C.

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Raul is riding on a train that is moving at a speed of 20.0 meters per second. Kirstin is sitting across from him, and there is a distance of 1.8 meters between them. If Raul and Kirstin do not leave their seats, which of the following graphs shows the distance from Raul to Kirstin over the first 6 seconds of the trip?

Answers

Answer:

b

Explanation:

The distance between Raul and Kristin would remain the same over the time period. Hence, the graph with the horizontal line depicts their distance. Graph C

The speed of the train does not matter in this situation since both Raul and Kristin are riding on it.

The distance seperating the two which is 1.8 meters will be constant since they both did not leave their seat.

Therefore, the distance between then will be maintained over the course of the journey else one or both of them leaves their seat.

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A bike travels 35.896 meters in 6.25 seconds. The average speed is then calculated.

How many significant figures should be in the resulting calculation?


3 significant figures

4 significant figures

2 significant figures

8 significant figures

Answers

Answer:

5.74

Three significant figures

Explanation:

Distance =35.896m

Time =6.25

Speed = distance / time

= 35.896/6.25

=5.74

Final answer:

The resulting calculation should have 3 significant figures.

Explanation:

The resulting calculation should have 3 significant figures.

When determining the number of significant figures in a calculation, the general rule is to use the fewest number of significant figures present in any of the given values.

In this case, the given distance (35.896 meters) has 3 significant figures and the given time (6.25 seconds) has 3 significant figures. Therefore, the average speed calculation should be rounded to 3 significant figures as well.

Examples of main themes from edwards sermon

Answers

1.) God's compassion will not last forever.

2.) Dependance is sometimes neccesary.

3.) Obedience and repentence will profit a reward for the future.

If 1 inch = 2.54 centimeters, how many inches are there in 2,540 centimeters?

Answers

1,000 inches would be the answer

Answer:

1000 inches

Explanation:

2540/2.54 = 1000

Hope this helps :)

5. Which equation defines the electric power P that a circuit delivers to a resistor?

Answers

Answer: P = V^2 /R

Explanation:

P = IV

I = V/R

P = V^2 /R


3. Mario is planning to conduct an experiment to determine which disinfectant is best for killing bacteria that are often found in kitchens.
Which of the following would be the most logical dependent variable for his experiment?
A. type of disinfectant
B. source of bacteria
C. amount of disinfectant
D. number of bacteria that survived using the disinfectant

Answers

Answer:

I would say D

Explanation:

The dependent variable is the thing that is measured when the independent variable is changed by us.

The independent variable would be the type of disinfectant so after you use the disinfectant you would measure the amount of bacteria meaning the answer would be D

The most logical dependent variable for Mario's experiment to determine the best disinfectant for killing kitchen bacteria is the number of bacteria that survived after disinfectant application.

In the experiment that Mario is planning, to determine which disinfectant is best for killing bacteria often found in kitchens, the most logical dependent variable would be option D, the number of bacteria that survived using the disinfectant. This is because the dependent variable is what the researcher measures to determine the effect of the independent variable, which in this case would be the type of disinfectant being tested. It's important to accurately measure the number of surviving bacteria to assess the effectiveness of each disinfectant.

Moreover, several factors can influence the effectiveness of a disinfectant, such as the concentration of the disinfectant, the temperature at which it is used, the types of microorganisms present, and the presence of organic material that can interfere with the disinfecting process. The goal is to choose conditions that optimize the contact between the disinfectant and the bacteria to achieve a satisfactory level of microbial control.

All electric circuits have devices that are run by _____ energy.

Answers

Answer: electrical energy

Explanation:

Electrical energy

Electronegativity is
____ at the top of the periodic table.​

Answers

Answer:

highest is correct word

Explanation:

Final answer:

Electronegativity increases at the top of the periodic table, with the highest values found in the upper right corner, corresponding to elements like fluorine.

Explanation:

Electronegativity is a measure of how strongly an atom attracts electrons when it forms a covalent bond. This tendency of an atom to attract electrons determines a lot in its chemical behavior. Electronegativity values, which can range from about 0.7 for elements like Francium (Fr) up to 4.0 for Fluorine (F), show a clear trend in the periodic table. They generally increase from left to right across the periodic table and are higher at the top of the periodic table. The elements with the highest electronegativity are found in the upper right corner of the periodic table, such as the nonmetals oxygen and fluorine, while those with low electronegativities are found in the lower left corner, such as the alkali metals.

A student has a mass (including clothes and shoes) of 65.0 kg. She drinks a 12 oz. can of soda, with a nutritional energy content of 140 Cal. Assuming that the efficiency of her muscles is 20%, how high can she climb without losing weight?
Conversion: 1 Cal = 1,000 cal = 4,180 J

Answers

She can climb 0.92 m without losing weight.

Explanation:

Gravitational potential energy is the energy consisting of the product of mass, gravity and height.

1 cal = 4184 J

140 cal = 585760 J

Energy = 585760 J,  m = 65.0 kg = 65000 g,   Efficiency = 20 %

                                 GPE = mgh

where m represents the mass

          g represents the gravity,

           h represents the height.

                             585760 = 65000 [tex]\times[/tex] 9.8 [tex]\times[/tex] h

                                        h = 0.92 m.

HELP ;
A wave is traveling at a constant speed. The frequency is 2 Hertz, and the wavelength is 1 meter. How would the wave properties change if the wavelength decreased from 1 to
0.5 while the speed stayed the same?
The amplitude would double.

The amplitude would decrease by one half.

The frequency would double.

The frequency would decrease by one half.

Answers

Answer:

The frequency would double.

Explanation:

Given:

Speed of wave (v) = constant.

Frequency of wave initially (f₁) = 2 Hz

Initial wavelength of the wave (λ₁) = 1 m

Final wavelength of the wave (λ₂) = 0.5 m

Final frequency of the wave (f₂) = ?

We know that the product of wavelength and frequency of the wave is equal to the speed of the wave.

Therefore, framing in equation form, we have:

Wavelength × Frequency = Speed

[tex]\lambda\times f=v[/tex]

It is given that speed of the wave remains the same. So, the product must always be a constant.

Therefore,

[tex]\lambda\times f=constant\ or\ \\\lambda_1\times f_1=\lambda_2\times f_2[/tex]

Now, plug in the given values and solve for 'f₂'. This gives,

[tex]1\times 2=0.5\times f_2\\\\f_2=\frac{2}{0.5}=4\ Hz[/tex]

Therefore, the final frequency is 4 Hz which is double of the initial frequency.

f₂ = 2f₁ = 2 × 2 = 4 Hz

So, the second option is correct.

Answer:

The answer is C The frequency would double.

Explanation:


2. A ball tied to a pole by a rope swings in a circular path with a centripetal acceleration of 2.7 m/s. If the ball has a
tangential speed of 2.0 m/s, what is the diameter of the circular path in which it travels?​

Answers

Answer: The diameter of the circular path is 2.96m

Explanation: centripetal acceleration = tangential speed^2 / radius of the circular path.

Centripetal acceleration = 2.7m/s^2

Tangential speed = 2.0m/s

Radius = 2.0^2 / 2.7 = 4/2.7

= 1.48m

Diameter = radius*2

= 1.48*2 = 2.96m.

A 0.250 kg mass is attached to a spring with k=18.9 N/m. At the equilibrium position, it moves 2.89 m/s. What is the amplitude of the oscillation? (Unit=m)

Answers

The amplitude of oscillation is 0.33 m

Explanation:

Amplitude is the measure of change in distance occurred during oscillation. As oscillation is a to and fro motion, so amplitude consists of influence of angular frequency and maximum velocity.

It is known that velocity is maximum when the spring is in equilibrium. And angular frequency of spring is determined as the square root of spring constant divided by mass.

[tex]angular frequency=\sqrt{\frac{spring constant}{Mass} }[/tex]

Angular frequency =[tex]\sqrt{\frac{18.9}{0.250} }=8.69[/tex]

And amplitude is

[tex]A=\frac{\text {velocity}}{\text {Angular frequency}}=\frac{2.89}{8.69}=0.33 \mathrm{m}[/tex]

Thus , the amplitude of oscillation is 0.33 m.

Answer:

0.33 m

Explanation:

The work is done out above.

Mrs. Waid drives her car up Route 8 at 80mph. If her car weighs 2500 lbs,
how much Kinetic energy does it have?

Answers

1.358 J is the kinetic energy of the car driven by Mrs. Waid.

Explanation:

Given data:

Velocity at which Mrs. Waid drives her car = 80 mph

In order to convert mph (meter per hour) into mps (meter per second),

         [tex]\frac{80}{3600}=0.0222 \mathrm{m} / \mathrm{s}[/tex]

Car weighs 2500 lbs, means mass of the car, m = 2500 lbs

I kilo gram = 2.20462 pound

Therefore, 1 pound (lb)=  0.45359237 kilograms (kg).

To converting pounds into kilogram,

               [tex]\frac{2500}{0.45359237}=5511.55 \mathrm{kg}[/tex]

As we know, the kinetic energy can be defined as directly proportionate to the object’s mass (m) and square of its velocity (v). The expression can be given as below,

               [tex]\text { kinetic energy }(K . E)=\frac{1}{2} \times m \times v^{2}[/tex]

By substituting the given values, we get

              [tex]\text { kinetic energy }(K . E)=\frac{1}{2} \times 5511.55 \times 0.0222^{2}[/tex]

              [tex]\text { kinetic energy }(K . E)=\frac{1}{2} \times 5511.55 \times 0.00049[/tex]

              [tex]kinetic energy (K . E)=1.358 joule[/tex]

SOMEONE PLEASE HELP ME ASAP PLEASE!!!!!​

Answers

The correct answer is 2.479

Answer:

The answer is 2.479

You can also use the calculator to find your answer .

As a truck rounds a curve, a box in the bed of the truck slides to the side farthest from the center of the curve. This movement of the box is a result of .
The correct option is inertia just took the test on edge.

Answers

As a truck rounds a curve, a box in the bed of the truck slides to the side farthest from the center of the curve. This movement of the box is a result of inertia.

Explanation:

We can answer this question by using Newton's first law of motion, also known as law of inertia, which says that:

"When an object is moving with constant velocity (or it is at rest), it will keep moving with same constant velocity (or it will remain at rest) unless acted upon an unbalanced force"

We can apply this law to the box in the bed of the truck. At first, the truck is moving in a straight line, with constant velocity: and so, the box is having the same motion.

However at some point, the truck begins the curve. If we neglect the friction between the box and the bed of the truck, then there is no other  force acting on the box in the horizontal direction: this means that the box will keep its horizontal motion, so it will continue moving forward with constant velocity, and therefore we will see the box sliding to the side farthest from the centre of the curve.

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Answer:

Inertia

Explanation:

I got it right on the quiz! Good luck.

Car A runs a red light and broadsides Car B, which is stopped and waiting to make a left turn. Car A has a mass of 1,800 kg. Car B has a mass of 1,500 kg. After the impact, the cars stick together and slide away at a speed of 7.1m/s. How fast was Car A going when it hit Car B? Can someone explain the steps to find the answer please?

Answers

Answer:

13 m/s

Explanation:

Momentum is conserved, so initial total momentum = final total momentum.

m₁ u₁ + m₂ u₂ = m₁ v₁ + m₂ v₂

Since Car B is originally not moving, u₂ = 0.

m₁ u₁ = m₁ v₁ + m₂ v₂

Since the cars stick together, they have the same final velocity, so v₁ = v₂ = v.

m₁ u₁ = m₁ v + m₂ v

m₁ u₁ = (m₁ + m₂) v

Given that m₁ = 1800, m₂ = 1500, and v = 7.1:

1800 u₁ = (1800 + 1500) 7.1

u₁ = 13

Car A was travelling at 13 m/s.

A slab of a thermal insulator is 100 cm2 in cross section and 2 cm thick. Its thermal conductivity is 0.1 J/s.m.ºC. If the temperature difference between opposite faces is 100 ºC, how much heat flows through the slab in one day?

Answers

Final answer:

Using the heat conduction formula, we determined that 432000 joules of heat flows through the slab in one day, given the thermal conductivity, area, temperature difference, time, and thickness of the material.

Explanation:

To calculate the amount of heat flow through the slab, we use the heat conduction formula: Q = (k*A*ΔT*t)/d, where:

k is the thermal conductivity,

A is the cross-sectional area,

ΔT is the temperature difference,

t is the time, and

d is the thickness of the material.

Giving us the following values to use in the formula: k = 0.1 J/s.m.ºC, A = 100 cm2 (or 0.01 m2 when converted to square meters), ΔT = 100 ºC, t = 1 day (or 86400 seconds), and d = 2 cm (or 0.02 m).

Q = (0.1 J/s.m.ºC * 0.01 m2 * 100 ºC * 86400 s)/0.02 m,
Q = (0.1 * 0.01 * 100 * 86400)/0.02,
Q = 432000 J.

Therefore, 432000 joules of heat flows through the slab in one day.



(10 pt)
For an area of land to be called a wetland, which of the following must be true?


A.
It has very high and low temperatures.


B.
It is near a mountain.


C.
The land is full of water part of the year.


D.
It has many types of trees and plant.

Answers

Answer:

C

Explanation:

Wetlands: These are areas or placed where water covers the soil or the area or is present either at or near the surface of the soil all year or for varying periods of time during the year,it may also include the growing season.

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