Toy cars of different masses accelerate as they move down a ramp as shown in the figure. A motion sensor is used to measure the speed of each car. It is found that all of the cars have the same speed at the bottom of the ramp. This graph shows how the mass of the car affects the car’s kinetic energy at the bottom of the ramp. Based on the graph, describe the relationship between the mass and the kinetic energy of the car, and then predict, in joules the kinetic energy of a car with a mass of 80 grams.

Toy Cars Of Different Masses Accelerate As They Move Down A Ramp As Shown In The Figure. A Motion Sensor

Answers

Answer 1

The Kinetic energy of the car with a mass of 80 grams is 0.40 joules

How do i determine the kinetic energy?

From the graph given, we can see that the as the mass increase, the kinetic energy also increase. Thus, we can say that the kinetic energy and mass of the car are in direct proportionality.

Now, we shall obtain the velocity of the car. Details below:

Kinetic energy (KE) = 0.1 JMass of (m) = 20 g = 20 / 1000 = 0.02 KgVelocity (v) = ?

KE = ½mv²

0.1 = ½ × 0.02 × v²

0.1 = 0.01 × v²

Divide both side by 0.01

v² = 0.1 / 0.01

Take the square root of both side

v = √(0.1 / 0.01)

v = 3.16 m/s

Finally, we shall determine the kinetic energy of the car of mass 80 grams. Details below:

Mass (m) = 80 g = 80 / 1000 = 0.08 KgVelocity (v) = 3.16 m/sKinetic energy (KE) =?

KE = ½mv²

KE = ½ × 0.08 × 3.16²

Kinetic energy = 0.40 joules

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Related Questions

please help PLEASE NOW

Journal prompt to be answered in 2 fully developed paragraphs

Prompt: What are some products (or programs) that you could purchase to help your performance in your current physical activity? How would the product (or program help)? Do you really think it is effective? Use specific examples from your experience.

Answers

You could purchase a fitness tracker to help your performance in your current physical activity.

Fitness tracker would help you in the area of goal setting.

Fitness trackers are effective because they have helped my friends to improve workout routine.

What are some products and programs that do help to physical activity?

Wearable fitness trackers can monitor data like heart rate, number of steps taken, distance traveled, and number of calories burned.

Supplements including protein powders, creatine, and beta-alanine can enhance recovery, muscular growth, and endurance.

Working with a coach or personal trainer can help you attain your fitness objectives by offering personalized training regimens, comments on form and technique, and accountability.

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As clothing tumble in a dryer, they can become charged. If a small piece of lint with a charge of +1.62 E−19 C is attracted to the clothing by a force of 2.0 E−9 N, what is the magnitude of the electric field at this location?

0.38 E10 N/C
1.2 E10 N/C
3.2 E10 N/C
3.6 E10 N/C

Answers

Answer:

1.2 E10 N/C

Explanation:

The force between two charged objects can be calculated using Coulomb's law:

F = k * q1 * q2 / r^2

where F is the force, k is Coulomb's constant (k = 8.99 x 10^9 N m^2 / C^2), q1 and q2 are the charges of the two objects, and r is the distance between them.

Rearranging this equation to solve for the electric field at a point, we get:

E = F / q

where E is the electric field strength and q is the charge at that point.

Substituting the given values, we get:

E = (2.0 x 10^-9 N) / (1.62 x 10^-19 C)

E = 12345.68 N/C

Therefore, the magnitude of the electric field at this location is 1.235 x 10^4 N/C.

Brainliest for answer!! How does the light spectrum measured for a nearby star compare to the light spectrum of a distant galaxy that is moving rapidly away from the observer? Explain what causes the differences between the two spectra. Answer in 3-5 sentences please.

Answers

Answer:

The light spectrum measured for a nearby star can be used as a benchmark for more distant stars because two stars with identical spectra have the same intrinsic luminosity. Spectroscopy can be applied to light from a distant galaxy, but the dark lines in the solar spectrum give a unique pattern that can be used to identify the elements present in the star. The light spectrum of a distant galaxy that is moving rapidly away from the observer will be shifted towards the red end of the spectrum due to the Doppler effect, which causes the wavelengths of light to stretch out as the object moves away from the observer.

1. Choose one from the following countries:
o United States
o United Kingdom
o Australia
o Nepal
o Russia
o Spain
o India
2. Then make research of some laws supporting sexuality and gender in your
chosen country.

Answers

uk

because they have a Sexuality law

What is amplitude and phase in electrical and electronics circuit?

Answers

In electrical and electronics circuits, amplitude is the maximum value of a signal. This is known as the strength or intensity of the signal. Phase, can be seen as the timing relationship between two signals or waveforms. It tell the time it takes betwen the peaks or zero crossings of two waveforms

What more should you know about phase in electrical and electronics circuits?

In electrical and electronics circuits, phase tell us about the the relationship between currents in different parts of the circuit, For example in AC circuits with multiple components.

We the amplitude and phase of signals in electrical and electronics circuits is understood, it becomes easier to design and analyz circuits, and can even be used for troubleshooting and maintaining them.

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1) Three masses hang about a 3 meter stick whose fulcrum is at
50cm. A mass of m1=60.0 kg hangs at the 90.0 cm mark, m2= 20.0 kg hangs at the 20.0 cm mark. Find the location of the mass, m3= 10 kg to obtain static equilibrium. If it is not possible to reach equilibrium, then select a new pivot point and draw a new diagram that will allow the system to reach static equilibrium with the same lever arms values as before for all masses.

Answers

The mass m3 should be placed 0.8 m away from the fulcrum to achieve static equilibrium.

Static equilibrium

To achieve static equilibrium, the net torque acting on the system must be zero. The torque is given by the product of the force and the lever arm. Taking the fulcrum as the reference point, we can write:

(m1)(g)(0.9 m - 0.5 m) + (m2)(g)(0.2 m - 0.5 m) + (m3)(g)(x - 0.5 m) = 0

where g is the acceleration due to gravity (9.81 m/s^2) and x is the distance of the mass m3 from the fulcrum.

Simplifying and solving for x, we get:

x = [(m1)(0.9 m - 0.5 m) + (m2)(0.2 m - 0.5 m)] / (m3) + 0.5 m

x = [((60.0 kg)(0.4 m) + (20.0 kg)(-0.3 m))] / (10.0 kg) + 0.5 m

x = 0.8 m

Therefore, the mass m3 should be placed 0.8 m away from the fulcrum to achieve static equilibrium.

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Why did Izzy fall when playing tug of war? Responses he tripped he tripped balanced forces balanced forces he was pushed he was pushed unbalanced forces

Answers

Answer:

he tripped ballanced forces ballanced forces

Two moles of helium gas initially at 268 K
and 0.51 atm are compressed isothermally to
1.5 atm. Find the final volume of the gas. Assume
that helium behaves as an ideal gas. The
universal gas constant is 8.31451 J/K · mol.
answer in units m^3

Answers

The final volume of the gas is 1,515.24 m³.

What is the final volume of the gas?

The final volume of the gas is calculated by applying ideal gas law;

PV = nRT

Where;

P is the pressureV is the volumen is the number of molesR is the universal gas constantT is the temperature.

At a constant temperature, we will have the following equation;

P₁V₁ = P₂V₂

V₂ = (P₁V₁) / P₂

V₂ = (0.51 atm)(2 mol)(8.31451 J/K·mol)(268 K) / (1.5 atm)

V₂ = 1,515.24 m³

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Question 11 of 25
In the circuit below, resistors R₁ and R₂ are in parallel. What is the equivalent
1
1
resistance? (R₁ = 30 22,R₂ = 20 2) (
A
+A)
Ptot R₁
S₁
S₂
R₁
S₂ S
ww
R₂
1
R₂₂k

Answers

Answer:

60 ohms

Explanation:

To find the equivalent resistance of two resistors R₁ and R₂ in parallel, we can use the formula:

1/Req = 1/R₁ + 1/R₂

where Req is the equivalent resistance.

Substituting the values given, we get:

1/Req = 1/30 + 1/20

Simplifying, we get:

1/Req = 1/60

Multiplying both sides by Req, we get:

Req = 60 ohms

Therefore, the equivalent resistance of the two resistors R₁ and R₂ in parallel is 60 ohms.

Kinetic energy depends only on a system's_
Select all that apply
>
acceleration
height
mass
2
speed
volume

Answers

The answer for the I believe to be mass and speed

Answer: mass and speed

Explanation: Remember kinetic energy equals 1/2mv^2 so it is dependent on mass and velocity which is speed.

During an ultrasound, sound waves are sent by a transducer through muscle tissue at a speed of 1,300 m/s. Some of the sound waves are reflected from a metal fragment 5.0 cm into the muscle tissue. How long did it take the transducer to detect the reflected waves from the metal fragment after they were first emitted?

0.26 seconds
39 seconds
4.6 E−5 seconds
7.7E−5 seconds

Answers

To calculate the time it took for the reflected waves to be detected, we can use the formula:

time = distance / speed

where distance is the round-trip distance traveled by the sound waves (i.e., twice the distance from the transducer to the metal fragment) and speed is the speed of sound in muscle tissue.

The round-trip distance traveled by the sound waves is:

2 * 5.0 cm = 10.0 cm = 0.1 m

The speed of sound in muscle tissue is given as 1,300 m/s.

Therefore, the time it took for the reflected waves to be detected is:

time = distance / speed = 0.1 m / 1,300 m/s = 7.7E−5 seconds

So the answer is 7.7E−5 seconds (option D).
Answer:

(d) 7.7E−5 seconds

To calculate the time it takes for the reflected waves to return to the transducer, we can use the formula:

time = distance / speed

The distance the sound waves travel is twice the depth of the metal fragment, since they have to travel to the fragment and then back to the transducer. Therefore, the distance traveled by the sound waves is:

distance = 2 x 5.0 cm = 0.1 m

The speed of the sound waves in muscle tissue is 1,300 m/s. Therefore, the time taken for the waves to travel this distance is:

time = distance / speed = 0.1 m / 1,300 m/s = 7.7E−5 seconds

Therefore, the transducer takes 7.7E−5 seconds to detect the reflected waves from the metal fragment after they were first emitted.

The correct answer is (d) 7.7E−5 seconds.

Will the placement of the continents on Earth look different in 100 million years than today?

Answers

Answer:

Yes

Explanation:

Continents is constantly moving, but at very slow rate.

This is due to the movement of the tectonic plate underneath the earth surface.

On average they move about 10 cm per year.

So in 100 million, they will move 10,000 km.

Of course, how the continents looks 100 million years from now will be very different than today.

calculate the electric field at the centre of a square 60cm on a side if one corneris occupied by a +45uC charge and the other three corners are occupied by -31uC charge

Answers

Answer:

E_total = 1.39 x 10^5 N/C

Explanation:

We can calculate the electric field at the center of the square using the principle of superposition. We will treat each charge as a point charge and calculate the electric field due to each charge, and then add them up vectorially.

Let's assume that the positive charge is located at the bottom-left corner of the square, and the negative charges are located at the other three corners. The distance from the charges to the center of the square is:

r = 60 cm / 2 = 30 cm

The electric field due to a point charge is given by Coulomb's law:

E = k*q / r^2

where k is the Coulomb constant, q is the charge, and r is the distance between the charge and the point where we want to calculate the electric field.

For the positive charge, we have:

E1 = k*q1 / r^2

E1 = (9 x 10^9 Nm^2/C^2)(45 x 10^-6 C) / (0.3 m)^2

E1 = 4.50 x 10^5 N/C

The electric field due to the negative charges is:

E2 = k*q2 / r^2

E2 = (9 x 10^9 Nm^2/C^2)(-31 x 10^-6 C) / (0.3 m)^2

E2 = -3.11 x 10^5 N/C

Since the negative charges are at opposite corners, the direction of the electric field due to each charge cancels out, so we only need to consider the magnitude of the electric field due to the negative charges.

The total electric field at the center of the square is:

E_total = E1 + E2

E_total = 4.50 x 10^5 N/C - 3.11 x 10^5 N/C

E_total = 1.39 x 10^5 N/C

The direction of the electric field at the center of the square is the direction of the net electric field due to the two charges, which is from the positive charge to the negative charges. This direction is along the diagonal of the square, at a 45 degree angle with respect to the sides of the square.

The second law of thermodynamics states that
a change in a system's energy is equal to the energy
transferred to the system.
energy cannot be created or destroyed.
energy can flow from a colder object to a warmer object
only if something does work.
the only way to reduce an object's temperature is to
increase the entropy of the environment.

Answers

Answer: energy can flow from a colder object to a warmer object

only if something does work.

Explanation: Consider the flow of water from a higher level to a lower level. There is no need to use energy to make this process occur. This type of process which does not need the application of energy to take place is said to be spontaneous. But to make water go up to the water tank, a pump must be used to make the process take place. This type of process which needs the use of energy to make it happen is said to be nonspontaneous.
 

but why not the only way to reduce an object's temperature is to

increase the entropy of the environment.?

coz the motion of particles decreases and their velocity decreases so they have less entropy at a lower temperature.

hope it helped:)

I don’t understand this pls help

Answers

Just try understand it

The graph shows how the speed of a car travelling in a straight line changes with time. Which section shows the largest acceleration? speed A B C D time​

Answers

The section that shows the largest acceleration on the graph would be section B, as it has the steepest slope.

This indicates that the car is increasing in speed at a faster rate during this section compared to the other sections.

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complete question not found in search engine.

What is the current theory about the formation of the solar system?

Responses

About 14 billion years ago, several supernova events scattered all the known elements throughout the galaxy. The magnetic elements were attracted to each other and formed the early celestial bodies that eventually became the planets of the solar system.

About 14 billion years ago, several supernova events scattered all the known elements throughout the galaxy. The magnetic elements were attracted to each other and formed the early celestial bodies that eventually became the planets of the solar system.

A big bang occurred in the solar system as a result of a fusion reaction. All the matter in the solar system that had been clumped together was shattered and sent flying. As new pieces of matter connected, all the celestial bodies of the solar system were formed.

A big bang occurred in the solar system as a result of a fusion reaction. All the matter in the solar system that had been clumped together was shattered and sent flying. As new pieces of matter connected, all the celestial bodies of the solar system were formed.

The area of the universe that was to become the solar system went through a period of vast expansion as a result of rapid radioactive decay that left behind clouds of dust and gases. The excess clouds and gases were used to form the various parts of the solar system.

The area of the universe that was to become the solar system went through a period of vast expansion as a result of rapid radioactive decay that left behind clouds of dust and gases. The excess clouds and gases were used to form the various parts of the solar system.

The solar system began as a cloud of dust and gas that condensed, forming a bulging middle and an outer disk. The bulging middle of the cloud became the sun, and the rest of the dust and gas formed the planets, orbiting the sun in the same plane.

Answers

The current theory about the formation of the solar system is that it began as a cloud of dust and gas, known as the solar nebula which is the last response.

What happened to the nebula?

The nebula collapsed under its own gravity, forming a spinning disk with a bulging middle that became the sun. The remaining dust and gas in the disk coalesced into small bodies, which collided and stuck together, forming the planets.

This process, known as accretion, resulted in the four inner planets, which are small and rocky, and the four outer planets, which are large and gas-rich.

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A rocket is fired from the earth to the moon at a speed of 0.930c. Let two events be "rocket leaves earth" and "rocket hits moon"
A. In the earth's reference frame, calculate Δx for these events.
B. In the earth's reference frame, calculate Δt for these events.
C. In the earth's reference frame, calculate the spacetime interval s for these events.
D. In the earth's reference frame, calculate Δx' for these events.
E. In the earth's reference frame, calculate Δt' for these events.
F. In the earth's reference frame, calculate the spacetime interval s' for these events.
G. In the earth's reference frame, calculate Δx if a rocket is replaced with a laser beam.
H. In the earth's reference frame, calculate Δt if a rocket is replaced with a laser beam.
I. In the earth's reference frame, calculate the spacetime interval s if a rocket is replaced with a laser beam.

Express ALL parts with appropriate units

Answers

A. Δx = 384,400 km (distance between Earth and Moon)

How to solve

B. Δt = 384,400 km / (0.930 * 299,792 km/s) ≈ 1.421 s

C. s² ≈ (-2.781 * 10^10) km² (imaginary number, time-like separated events)

D, E, F. Cannot answer without specified primed frame.

G. Δx for laser beam = 384,400 km

H. Δt for laser beam = 384,400 km / 299,792 km/s ≈ 1.282 s

I. s² for laser beam ≈ 0 km² (light-like separated events)



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What pressure does a 500N - pound girl produce while standing on the floor if the area of ​​the sole of one of her shoes is 60 cm²?​. pleaaasee guysss help meee

Answers

The pressure exerted by the girl is approximately 833,333.33 Pa (Pascals).

A megaphone amplifies sound by
all the above
increasing the range of frequencies that can be produced.
focusing sound energy into one specific direction.
spreading out the sound waves over a large area.

Answers

The answer to this question is All of the above

A block is attached to a spring and executes
simple harmonic motion according to x = 2.0
cos(50t), where x is in meters and t is in
seconds. The spring constant is k = 100 N/m.
What is the mass of the block?

Answers

Answer:

.04 kg

Explanation:

The equation for simple harmonic motion is x = A*cos(ωt), where A is the amplitude, ω is the angular frequency, and t is the time.

Comparing the given equation x = 2.0cos(50t) with the equation for simple harmonic motion, we see that A = 2.0 meters and ω = 50 radians/second.

The angular frequency is related to the spring constant and mass by the equation ω = sqrt(k/m), where sqrt denotes the square root.

Substituting the values given, we get:

50 = sqrt(100/m)

Squaring both sides and solving for m, we get:

m = 100/2500 = 0.04 kg

Which of the following is not among the uses of dimensional analysis? (a) determination of the Numerical constant (b) to convert one system of unit to another (c) to change the units of derived quantities (d) to test the correctness of an equation

Answers

To convert one system of unit to another  of derived quantities is not a use of dimensional analysis.

What is dimensional analysis?

Checking for consistency in the dimensions on both sides of an equation entails looking at the dimensions of the physical quantities involved in a problem, such as length, mass, time, electric charge, and temperature.

The core tenet of dimensional analysis is that physical quantities, such as length, mass, and time, may be described in terms of their basic dimensions.

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All of the options listed are included in the uses of dimensional analysis.

What is dimensional analysis?

Dimensional analysis is a powerful tool used in physics to:

check the correctness of equations derive new equationsconvert units from one system to anotherdetermine numerical constants that relate physical quantities.

The dimensional analysis involves analyzing the dimensions of physical quantities and using them to establish relationships between them.

By using the principles of dimensional analysis, we can simplify complex physical problems and gain insights into the behavior of physical systems.

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Four point masses 2kg, 4kg, 6kg and 8kg are placed at the corners of Square ABCD of 2cm long respectively. Find the Position of centre of mass of the system from the corner A.
please help me I give you 50 coins​

Answers

The center of mass of the system can be found by taking the weighted average of the positions of the individual masses.

Let's call the mass at point A M1, the mass at point B M2, the mass at point C M3, and the mass at point D M4.

The x-coordinate of the center of mass is given by:
x_cm = (M1*x1 + M2*x2 + M3*x3 + M4*x4) / (M1 + M2 + M3 + M4)

The y-coordinate of the center of mass is given by:
y_cm = (M1*y1 + M2*y2 + M3*y3 + M4*y4) / (M1 + M2 + M3 + M4)

We know that the distance between any two adjacent corners of the square is 2cm. Therefore, we can say that the coordinates of the four masses are:
M1 = 2kg at (0,0)
M2 = 4kg at (2,0)
M3 = 6kg at (2,2)
M4 = 8kg at (0,2)

Substituting these values into the equations above, we get:
x_cm = (2*0 + 4*2 + 6*2 + 8*0) / (2 + 4 + 6 + 8) = 2
y_cm = (2*0 + 4*0 + 6*2 + 8*2) / (2 + 4 + 6 + 8) = 2

Therefore, the center of mass of the system is located at a distance of 2cm from corner A along the x-axis and 2cm from corner A along the y-axis.

The pressure difference between two locations is 0.005 Torr .Which one of the following barometers is preferred to measure the small pressures accurately? (knowing that: Density of mercury = 13600 kg/m³, density water = 1000 kg/m³, density of oil = 800 kg/m³
A-Mercuric barometer
B-Oil-water barometer
C-Water barometer
D-Oil barometer

Answers

Due to its high density, the mercury barometer is the greatest option for precisely measuring minor changes in pressure. The correct option is A.

A barometer is an instrument used to measure atmospheric pressure. It typically consists of a long glass tube filled with a liquid, usually mercury, and inverted in a container of the same liquid.

The preferred barometer to measure small pressures accurately would be the mercury barometer (option A), because it has a higher density compared to the other options and hence it can detect smaller changes in pressure.

To see why the other options are not as good for measuring small pressures accurately, we can compare their densities:

Oil-water barometer: The density of oil is lower than the density of mercury, so it would not be as accurate for measuring small changes in pressure.

Water barometer: The density of water is much lower than the density of mercury, so it would not be as accurate for measuring small changes in pressure.

Oil barometer: The density of oil is lower than the density of mercury, so it would not be as accurate for measuring small changes in pressure.

Therefore, option A, the mercury barometer, is the best choice for measuring small changes in pressure accurately due to its high density.

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What is the definition of physical activity?
A.
a movement that stimulates your respiratory system
B.
a movement that causes perspiration
C.
a movement that results in the body’s use of energy
D.
a movement that requires little effort

Answers

Answer: The answer is C

Explanation: because I got it correct

C. A movement that results in the body's use of energy.

WHO has defined physical activity as any bodily movement that requires expenditure of energy.

Physical activity includes both exercise as well as integrated activities of one's daily routine.

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What is the difference between analog signal and digital signal. Explained in essay form.

Answers

A continuous signal that changes in frequency and amplitude over time is referred to as an analogue signal. A digital signal one can only take on a small number of values and is commonly represented by 0s and 1s.

Being able to take on any value within a continuous range of values makes it the perfect choice for simulating physical phenomena like temperature, sound, and light. Analogue signals include things like radio waves, vinyl records, and conventional telephone networks. Modern communication and computing systems use digital signals instead of analogue ones because they can be transferred and processed more effectively and are less prone to noise. Computer networks and digital cameras are few examples of digital signals.

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A blue train of mass 50 kg moves at 4 m/s toward a green train of 30 kg initially at rest. What is the initial momentum of the blue train?
A. 20 kgm/s
B. 200 kgm/s
C. 50 kgm/s
D. 0 kgm/s

Answers

Answer:

B. 200 kgm/s

Explanation:

The initial momentum of the blue train can be calculated using the formula:

p = mv

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

The mass of the blue train is 50 kg and its velocity is 4 m/s. Therefore, the initial momentum of the blue train is:

p = 50 kg x 4 m/s = 200 kgm/s

Therefore, the initial momentum of the blue train is 200 kgm/s, which is option B.

B or 200 Kgm/s…. Let me know if I’m wrong

Which of the following is not considered a bloodborne pathogen

Answers

Influenza virus is not considered  as a bloodborne pathogen. The correct answer is option D.

Bloodborne pathogens are infectious microorganisms that can cause disease when transmitted through contact with infected human blood or other body fluids.

They can include viruses, bacteria, and other microorganisms that can cause serious illness or even death.

Influenza virus is not considered a bloodborne pathogen because it is primarily a respiratory virus that spreads through droplets when an infected person talks, coughs, or sneezes.

It can also spread through contact with contaminated surfaces or objects, but it is not primarily transmitted through contact with blood or other body fluids.

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The probable question may be:

Which of the following is not considered a bloodborne pathogen

A. Hepatitis B virus

B. Human immunodeficiency virus (HIV)

C. Hepatitis C virus

D. Influenza virus

graph
shows a variety of moving objects and how their distance is related to time what do these objects have in common

Answers

What is common among all the graphs is that they all show an object that is moving.

What is a graph?

In the distance time graph, we have the distance on the vertical axis and we have the time on the horizontal axis and the shape of the plots may differ depending on the nature of the motion of the objects.

Graphs of distance vs time help us to examine motion by showing how an object has moved over time. All objects shown on a distance vs. time graph are shifting positions over time, regardless of the graph's specific shape or slope, and the graph reveals information about the direction and speed of their motion.

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Which of the following is the dimension of moment of inertia? (a) ML2 (b) MLT-1 (c) L2T 2 (d) L T-1

Answers

The dimension of the moment of inertia is [tex]ML^2[/tex]. Option A.

What is the moment of inertia?

The moment of inertia represents the resistance of a body to rotational motion. It depends on the body's mass and the distribution of that mass around the axis of rotation.

The formula for the moment of inertia involves mass and distance and is expressed as:

I = mr^2

where

m is the mass of the bodyr is the distance from the axis of rotation.

The dimension of mass is represented by M, and the dimension of distance is represented by L. Therefore, the dimension of moment of inertia is:

Moment of inertia = mass x distance^2 = M x L^2 = [tex]ML^2[/tex].

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For the right triangle below, find the measure of the angle.Figure is not to scale. A person uses 500kcal of energy to run a race. convert the energy used for the race to the following energy units: joules(j)kilojoules (kj)1 calorie= 4.184 joules Read this passage. Some people think of Ben Franklin primarily as a statesman and diplomat. Others consider him to be, first and foremost, an inventor and author. The truth of the matter, however, is that Franklin was a polymath. Which sentence could be added to the passage and maintain its formal style?He knew it all and wasn't afraid to let others know he knew it. You wouldn't believe how bright he was in all sorts of areas and topics and subjects. He was a figure of wide-ranging knowledge, expertise, and accomplishment in several fields. He was absolutely the smartest dude in every room he entered Find the particular solution for:f"(x) = 0.25x/, f'(4) = - 1/8 and f(0) = 2. the graph depicts the market for cable where there is one natural monopoly; ac represents average (total) cost, d represents market demand, and mr represents marginal revenue. assume that the marginal cost is equal to 0. suppose that before the cable company lays any cable, the government decides to regulate the monopoly by setting the price. what is the lowest price that the government can impose while ensuring that the cable company enters the market? Tim is starting his first job after graduating college. What action could Tim take to help him save more?Find a roommate. Buy renter's insurance. Contribute more to his retirement fund. Buy fast food The author infers that unlike Edna, Robert is single. Which sentences from the text best support this inference? Select two options How many zeros are in the product 50 x 6,000 For y = 72x, find dy, given x = 4 and x = dx = 0.21dy = (Simplify your answer.) How does the story the fun they had explore the relationship between humans and technology Please show me the working outGiven the function f (x) 02 +4,2 (-2,0) + (a) Enter f' (2) 2*x (b) Enter the inverse function, f-1(x) sqrt(x-4) (c) Enter the compound function f' (s 1(x)) (d) Enter the derivative mets-() de 1-12 Brainliest for answer!! How does the light spectrum measured for a nearby star compare to the light spectrum of a distant galaxy that is moving rapidly away from the observer? Explain what causes the differences between the two spectra. Answer in 3-5 sentences please. During a sale, a store offered a 25% discount on a bed that originally sold for $800. After the sale, the discounted price of the bed was marked up by 25%. What was the price of the bed after the markup? Round to the nearest cent. How were Julius Caesar's and Augustus' periods of rule different? savings institutions participate in the swap market primarily to group of answer choices serve as a dealer by taking the counterparty position in a swap. reduce interest rate risk. none of these are correct. serve as an intermediary by matching up two parties in a swap. please help me with this history question ill give you brainlist !! Construct the class boundaries for the following frequency distribution table. also construct less than cumulative and greater than cumulative frequency tables.ages:- 1 - 3, 4-6, 7-9, 10-12, 13-15no of children:- 10,12,15,13,9 A rectangular pyramid fits exactly on top of a rectangular prism. The prism* 1 point has a length of 26 cm, a width of 5 cm, and a height of 14 cm. The pyramid has a height of 23 cm. Find the volume of the composite space figure. Round to the nearest hundredth . Write an argumentative essay, between 80-150 words, starting from the tragedy romeo and juliet, in which you either agree or disagree with this statement said by the mexican writer octavio poz: romeo and juliet is the saddest story of them all, because the two of them died innocent and victims of not destiny but fate. 2. Hamilton claimed that there are only 4 circuits that begin with the letters LTSR Q. Find them. 3. Find all four possible Hamiltonian circuits that begin with JVTSR