if the airtrack is sloped at an angle of 4 degress, what should be the acceleration of a cart down the airtrack?

Answers

Answer 1

The acceleration of a cart down the air track is 0.68 m/s^2.

The acceleration of a cart down an air track that is sloped at an angle of 4 degrees can be calculated using the formula:

a = g * sin(θ)

where

"a" is the acceleration

"g" is the acceleration due to gravity (9.8 m/s^2 on the surface of the Earth)

"θ" is the angle of the slope in radians.

Converting the angle from degrees to radians, we get:

θ = 4° * (π / 180°) = 0.0698 radians

Plugging the values into the formula, we get:

a = 9.8 m/s^2 * sin(0.0698 radians) = 0.68 m/s^2

So, the acceleration of the cart down the air track would be approximately 0.68 m/s^2.

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Related Questions

an asronaut on a planet having no atmosphere throws a stone of mass m vertically upwards with velocity 10 m/s. It reaches maximum height of 10 m. If another stone of mass 2m is thrown upwards with velocity 20 m/s, the maximum height reached will be

Answers

Answer:

2.5m

Explanation:

M1V1H1=M2V2H2

m1=m, m2=2m, v1=10m/s, v2=20m/s, h1=10, h2= ?

h2= 100×m/20×2m= 2.5m

Why should
you use a horizontal line to
indicate where the bus is not
accelerating?

Answers

A horizontal line is used to indicate that the bus is not accelerating because the slope of a horizontal line is zero. When the slope is zero, it means there is no change in velocity over time, indicating a constant velocity or no acceleration.

This is useful when analyzing the motion of the bus, as it allows us to identify periods of constant velocity. By drawing a horizontal line on a velocity-time graph, we can clearly see when the bus is not accelerating. To understand this, it's important to know that the slope of a line on a velocity-time graph represents acceleration. A positive slope indicates positive acceleration, while a negative slope indicates negative acceleration. A horizontal line has a slope of zero, which means there is no change in velocity over time, indicating no acceleration.

By using a horizontal line to indicate where the bus is not accelerating, we can easily identify when the bus is maintaining a constant speed. This can be useful in analyzing the motion of the bus, as it allows us to differentiate between periods of acceleration and periods of no acceleration. For example, if the bus starts at rest and then begins to accelerate, we will see a positive slope on the graph. Once the bus reaches its desired speed and maintains it, the slope will become horizontal, indicating no further acceleration. This horizontal line can continue until the bus starts decelerating, at which point the slope will become negative. In summary, using a horizontal line on a velocity-time graph helps us visualize when the bus is not accelerating by indicating periods of constant velocity.

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Wave A carries more energy than wave B. Wave B must have a smaller than wave A. A. frequency B. amplitude C. wavelength D. speed​

Answers

Answer:

Amplitude

Explanation:

The amount of energy a wave carries is determined by the amplitude. The larger the amplitude, the more energy the wave has, and the smaller the amplitude, the less energy the wave has.

In this case, since wave A has more energy than wave B, wave B must have a smaller amplitude than wave A.

Let me know if this helps!

For each pair of numbers, determine by what percent the second number is greater than the first. also determine by what percent the first number is less than the second. 15 and 20

Answers

The first number (15) is 25% less than the second number (20).

For the first pair of numbers, 15 and 20, we can determine by what percent the second number is greater than the first by using the formula:
Percent increase = [(New value - Old value)/Old value] x 100
So, for this pair of numbers, we have:
Percent increase = [(20 - 15)/15] x 100 =

[5/15] x 100

= 33.33%
Therefore, the second number (20) is 33.33% greater than the first number (15).
To determine by what percent the first number is less than the second, we can use the same formula, but switch the values:
Percent decrease = [(Old value - New value)/New value] x 100
So, for this pair of numbers, we have:
Percent decrease = [(15 - 20)/20] x 100 =

[-5/20] x 100

= -25%
Therefore, the first number (15) is 25% less than the second number (20).

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what is physical change​

Answers

Answer:a usually reversible change in the physical properties of a substance, as size or shape:

Freezing a liquid is a physical change.

Explanation:

Two lasers are shining on a double slit, with slit separation d. Laser 1 has a wavelength of d19, whereas laser 2 has a wavelength of d14. The lasers produce separate interference patterns on a screen a distance 4.90 m away from the slits. Which laser has its first maximum closer to the central maximum?

Answers

Laser 2 (with wavelength d14) has its first maximum closer to the central maximum.


The position of the interference pattern's maxima depends on the wavelength of the light source. The distance between the two slits and the screen also plays a crucial role in determining the location of maxima.

The formula for calculating the position of the maxima is given by mλL/d, where m is the order of the maximum, λ is the wavelength, L is the distance between the slits and the screen, and d is the distance between the two slits.

Since laser 2 has a smaller wavelength than laser 1, its interference pattern will have a larger angle between the maxima. Therefore, the first maximum of laser 2 will be closer to the central maximum than that of laser 1.

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Laser 2 has its first maximum closer to the central maximum

What are the light's wavelength and frequency?

The frequency of light is the number of light cycles that pass a specific place in one second, while the wavelength of light is the distance between comparable spots in two adjacent light cycles.

The maxima's positions can be determined using the formula mL/d, where m is the order of the maximum, denotes the wavelength, L denotes the distance between the slits and the screen, and d denotes the distance between the two slits.

Since laser 2's wavelength is shorter than laser 1's, the angle between the maxima in its interference pattern will be greater. Because of this, laser 2's first maximum will be closer to the central maximum than laser 1's.

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Distance and direction of an object's change in position from a starting point are:

Answers

Answer:

An object changes position if it moves relative to a reference point. The change in position is determined by the distance and direction of an object's change in position from the starting point (displacement). Direction • Direction is the line, or path along which something is moving, pointing, or aiming.

Explanation:

Answer: An object changes position if it moves relative to a reference point. The change in position is determined by the distance and direction of an object's change in position from the starting point (displacement). Direction • Direction is the line, or path along which something is moving, pointing, or aiming.

Explanation: BRAINLIEST?

the rotor of an electric motor has a rotational inertia of 45 kg-m2 . what is its kinetic energy if it turns at 1500 revolutions per minute?

Answers

The kinetic energy of the rotor is approximately 703,696 joules when it turns at 1500 revolutions per minute.

Angular velocity (ω) = (2π/60) x 1500 = 157.08 radians/second

The kinetic energy (K) of the rotor can be calculated using the formula:

K = (1/2) I ω²

In which I is the rotational inertia and ω is the angular tempo.

Plugging in the values, we get:

K = (1/2) x 45 kg-m² x (157.08 rad/s)²

K = 703,695.97 joules

Kinetic energy is the strength possessed with the aid of an item because of its motion. it's far described because the paintings required to boost up an item from relaxation to its contemporary velocity.The components for calculating kinetic power is KE = half of mv², in which m is the mass of the item and v is its pace.

Kinetic power is a scalar quantity, which means it has the handiest importance and no course. It is a form of mechanical energy, which can be converted into other forms of energy, such as potential energy or thermal energy. The quantity of kinetic energy an item possesses depends on its mass and velocity. A larger mass or a higher velocity will result in a greater amount of kinetic energy. For example, a moving car has more kinetic energy than a stationary bicycle due to its higher mass and velocity.

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The moon completes one (circular) orbit of the earth in 23.7 days. The distance from the earth to the moon is 3.84×10^8m. Calculate the centripetal acceleration.

Answers

Given that distance of moon from the earth is, R= 3.84 x 10^8 m

Also, time taken to complete one revolution is, T= 23.7 days = 2047680 seconds

Mass of the moon is, m= 7.347 Kg

To find the centripetal acceleration,

\(a_c=\frac{m4\pi^2R}{T}\)

Substituting the values, we get

\(undefined\)

The factor in an experiment that you are trying to measure is referred to as the
independent variable
O manipulated variable
o control
O dependent variable

The factor in an experiment that you are trying to measure is referred to as theindependent variableO

Answers

Answer:

Dependent Variable is the answer

Do we have to convert the mass relating to gravity(g=mg) if it’s in grams?

Answers

Answer:

No

Explanation:

The chemical reactivity of an atom is determined by the number of _____ present.a) protonb) neutronc) electronThere can be multiple answers.

Answers

The chemical reactivity of an atom is determined by the number of electrons present in its outermost shell, also known as the valence electrons.

These electrons play a key role in determining the chemical properties of an atom, such as its reactivity and bonding behavior. An atom with a full or nearly full valence shell is less likely to engage in chemical reactions, while an atom with a partially filled valence shell is more reactive and readily participates in chemical reactions. Thus, the number of electrons in the valence shell is a critical factor in determining the chemical reactivity of an atom. Chemical reactivity refers to the ability of a substance to participate in chemical reactions and form new compounds. It is determined by various factors, including the arrangement of electrons in the outermost shell (valence electrons), the stability of the electronic configuration, and the energy required to break or form chemical bonds.

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Point A is 2.50 m from a +3.73*10^-8 C charge, and Point B is 1.00 m from the charge. What is the potential difference when you go from point A to point B? Include the correct sign, + or - (Hint: Does V go up or down when you go from A to B?) (Unit = V)​

Point A is 2.50 m from a +3.73*10^-8 C charge, and Point B is 1.00 m from the charge. What is the potential

Answers

Answer:

-201

Explanation:

Got it right on Acellus

Answer:

-201

Explanation:

acellus

If a plant grows among many tall trees in a dense forest,how could it adapt so that it could get enough air and water

Answers

Answer:

The answer is below

Explanation:

Plants that grow among many tall trees in a dense forest could adapt so that they could get enough air and water through the following means:

1. By becoming climbers. Here they climb up the nearby trees to get more air and sunlight.

2. Plants grow leaves that have pointed tips. This allows the passage of water in the plant's leaves without causing damage.

3. Some plants grow as epiphytes, where they grow on big trees' canopy

In the Vector Addition Lab, the following data was collected for determining the displacement from the door of the Physics classroom to another location in the building: 2 m, West; 14.0 m, South; 25.0 m, East; 11.0 m, North; and 2 m, West. The magnitude of the resultant displacement from the physics classroom to the assigned location is closest to ___ meters. (Round to the nearest integer.)

Answers

Answer:

21 m

Explanation:

Since the displacement from the door is 2 m West, we have our vector as -2i. The vector representing 14.0 m South is -14.0j. The vector representing 25.0 m East is 25.0i. The vector representing 11.0 m North is 11.0j. And, the vector representing 2.0 m West is -2.0i.

So, to get our position vector at the other location, we add all the vectors together.

So, r = -2i + (-14.0j) + 25.0i + 11.0j - 2i

= -4i + 25.0i - 14.0j + 11.0j

= 21.0i -3j m

Now, if we assume the position vector for the door is at the origin, we have r₀ = 0i + 0j m

So, our displacement from the door is r - r₀ = 21.0i - 3.0j - (0i + 0j) =  21.0i - 3.0j

So, the magnitude of the resultant displacement |r - r₀| = √(21.0² + 3.0²)

= 3.0√(7.0² + 1)

= 3.0√(49 + 1)

= 3.0√50

= 3.0 × 7.0711

= 21.2

≅ 21 m to the nearest integer

Why is a flower not a good blackbody radiator?

Answers

Answer:

A flower emits only visible light

A flower reflects much of the light that hits it

If the fundamental frequency of a note is 200 Hz, what is the frequency of the second harmonic? The third harmonic?

Answers

The frequency of the second harmonic of a note with a fundamental frequency of 200 Hz is 400 Hz, and the frequency of the third harmonic is 600 Hz.

To calculate the harmonics of a note, you will need to know the fundamental frequency of the note. The frequency of the second harmonic is twice the fundamental frequency, and the frequency of the third harmonic is three times the fundamental frequency. For example, if the fundamental frequency is 200 Hz, then the frequency of the second harmonic is 400 Hz and the frequency of the third harmonic is 600 Hz.

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1:A pattern or grouping of stars that people imagine representing a figure, an animal or an object.

2:an object that orbits the sun, is large enough to have been rounded by its own gravity, and has cleared the area of its orbit of any debris.

Answers

Answer:

1.constellation2.Probably a dwarf planet

The diagram below shows a 5.0-kilogram mass sliding 9.0 meters down an incline from a height of
2.0 meters in 3.0 seconds. The object gains 90. joules of kinetic energy while sliding.
How much work is done against friction as the mass slides the 9.0 meters?

Answers

The work done against friction as the mass slides is 8 J.

The given parameters:

sliding mass, m = 5.0 kgdistance traveled by the mass, s = 9.0 mheight of incline, h = 2.0 mtime of motion, t = 3.0 skinetic energy of the object, K.E = 90 J

The work done against friction as the mass slides can be determined by applying work-energy theorem.

\(\Delta E= W\\\\P.E - K.E = W\)

the change in mechanical energy of the sliding mass, is equal to energy lost to friction.

\(W = P.E - K.E\\\\W = mgh - K.E\\\\W = (5 \times 9.8 \times 2) - 90\\\\W = 98 - 90\\\\W = 8 \ J\)

Thus, the work done against friction as the mass slides is 8 J.

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Use the drop-down menus to identify the parts of the
diagram labeled A, B, and C.
Label A
Label B.
Label C

Use the drop-down menus to identify the parts of thediagram labeled A, B, and C.Label ALabel B.Label

Answers

Answer:

Use the drop-down menus to identify the parts of the diagram labeled A, B, and C.

Label A

✔ battery

Label B

✔ light or bulb

Label C

✔ switch

Explanation:

The parts A, B and C are battery, light bulb and switch respectively.

What is meant by an electric circuit ?

The electrical circuits are defined as the closed-loop or routes that create a web of electrical components through which electrons can move.

Here,

The given diagram is of an electric circuit.

Wires are used to construct this path, which is powered by a battery or another energy source.

Part A

The beginning of the point where electrons begin to flow is referred to as the source, known as the battery and the end of the point where electrons leave the electrical circuit is referred to as the return.

Part B

An electrically powered light bulb is a type of lighting source. By passing current through a small wire called a filament, light bulbs convert electricity into light. Tungsten is a substance that produces light when electricity is delivered through it, and this is often the material used to make the filament.

Part C

It is the switch. An electrical circuit can be broken by a switch by rerouting current from one conductor to another conductor or an insulator.

Hence,

The parts A, B and C are battery, light bulb and switch respectively.

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A keg of beer is covered with a wet towel. Imagine that the keg gains energy from its surroundings at a rate of 20 W. At what rate in grams per second must water evaporate from a towel placed over the keg to cool the keg at the same rate that energy is being absorbed?

Answers

The rate of water evaporation from the towel must be 30 g/s in order to cool the keg at the same rate of energy absorption (20 W).

What is Evaporation?

Evaporation is the process by which a liquid is transformed into a gas. This process, often referred to as vaporization, occurs when molecules in the liquid state gain enough energy to break the bonds that hold them together, allowing them to escape into the air as vapor.

This energy is typically provided by heat, but can also be provided by other means such as pressure or electrical energy. Evaporation can occur at any temperature, but is most common at the boiling point of a liquid.

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beta waves are associated with __________, while theta waves are characteristic of the __________ stage.

Answers

Beta waves are associated with an alert and focused mental state, while theta waves are characteristic of the light sleep stage.

Beta waves are associated with an alert and focused mental state, typically experienced during active problem-solving, decision-making, and concentration. These waves have a higher frequency, ranging from 13 to 30 Hz, and are prevalent when an individual is awake and engaged in activities that require mental focus.

On the other hand, theta waves are characteristic of the light sleep stage, which is the first stage of the sleep cycle. These waves have a lower frequency, ranging from 4 to 8 Hz, and are observed when an individual transitions from a wakeful state to a more relaxed or drowsy state. Theta waves are also associated with deep relaxation, meditation, and creativity. Both beta and theta waves play essential roles in our cognitive and emotional well-being, but they represent different states of consciousness and brain activities.

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A pendulum consists of a 0.3 kg mass at the end of a string. The pendulum is raised to a height of 0.26 m and released. When the pendulum reaches its lowest point, it has a velocity of 2.28 m/s. What is the total energy of the Pendulum-Earth system?

Answers

The total energy of the Pendulum-Earth system is equal to 1.54416 Joules.

Given the following data:

Mass = 0.3 kgHeight = 0.26 meter.Velocity = 2.28 m/s.

Scientific data:

Acceleration due to gravity on Earth = 9.8 \(m/s^2\)

To calculate the total energy of the Pendulum-Earth system:

How to calculate total energy.

The total energy possessed by this Pendulum-Earth system is equal to the sum of both the potential energy and kinetic energy at its lowest point.

Mathematically, the total energy is given by this formula:

\(E = mgh + \frac{1}{2} mv^2\)

Substituting the given parameters into the formula, we have;

\(E = 0.3 \times 9.8 \times 0.26 + \frac{1}{2}\times 0.3 \times 2.28^2\\\\E=0.7644+0.77976\)

E = 1.54416 Joules.

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In context of nepal it is better to use energy like solar power .why?

Answers

Answer:

Nepal is one of the least developed countries. Solar power is well-founded than electricity. It's better to use solar power because it's a clean resource, the sun provides more energy than we will ever need.

Explanation:

Use Newton's method to find all solutions of the equation correct to six decimal places. (Enter your answers as a comma-separated list.) ln(x)=x−31​ x=

Answers

The solution to the equation ln(x) = x - 31, correct to six decimal places, is x ≈ 24.662174.

Newton's method, also known as Newton-Raphson method, is an iterative numerical method used to find the roots of a real-valued function. It is a powerful algorithm for finding solutions to equations where it may be difficult or impossible to obtain an analytical solution.

To find the solutions of the equation ln(x) = x - 31 using Newton's method, we start by rearranging the equation to f(x) = ln(x) - x + 31 = 0.

Next, we need to choose an initial guess for the solution, let's say x0 = 20.

Then, we can use the Newton's method iterative formula:

xn+1 = xn - f(xn)/f'(xn)

where f'(x) is the derivative of f(x).

For our equation, f'(x) = 1/x - 1.

Let's perform the iterations:

x1 = x0 - (ln(x0) - x0 + 31) / (1/x0 - 1)

x1 = 20 - (ln(20) - 20 + 31) / (1/20 - 1)

x1 ≈ 24.660633

x2 = x1 - (ln(x1) - x1 + 31) / (1/x1 - 1)

x2 ≈ 24.662174

x3 ≈ 24.662174

Performing additional iterations, we find that the value of x converges to approximately 24.662174.

Therefore, the solution to the equation ln(x) = x - 31, correct to six decimal places, is x ≈ 24.662174.

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what is the weight of a 3.67kg ball?

Answers

Answer:

mass 3.67 kg, density 600 kg/m3) is fitted

with lead (density 1.14 * 10^4 kg/m3) so that it floats in water with

0.900 of its volume submerged. Find the lead mass if the lead is fitted

to the block’s (a) top and (b) bottom.

A ray of light is incident on a block of Lucite at an angle of 60° from the normal. The angle of refraction of this ray in the Lucite is closest to
(1 ) 35° (2 ) 45°
(3 ) 60°
(4 ) 75°

Answers

The angle of refraction of the ray of light in the block of Lucite is closest to (1) 35°.

To find the angle of refraction, we can use Snell's Law, which states:

n1 * sin(θ1) = n2 * sin(θ2)

Here, n1 and n2 are the indices of refraction for the two materials, and θ1 and θ2 are the angles of incidence and refraction, respectively. For this problem:

We need to know the refractive index of Lucite. The refractive index of Lucite, also known as the index of refraction, describes how light propagates through the material. For Lucite, the refractive index is typically around 1.49.

- n1 (air) = 1 (since air has an index of refraction close to 1)
- θ1 = 60° (angle of incidence)
- n2 (Lucite) ≈ 1.5 (index of refraction for Lucite)

Now, we can solve for θ2:

1 * sin(60°) = 1.5 * sin(θ2)
sin(θ2) ≈ 0.577

Taking the inverse sine (arcsin) of both sides:

θ2 ≈ 35°

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contact lenses are placed right on the eyeball, so the distance from the eye to an object (or image) is the same as the distance from the lens to that object (or image). a certain person can see distant objects well, but his near point is 40.0 cm from his eyes instead of the usual 25.0 cm .

Answers

Because this person is far sighted.

What happens to the eye's lens when an item is far away?

The lens might thicken as a result of the ciliary muscles contracting and making the lens more curved. The lens's greater curvature enables the eye to focus on near objects. The muscles relax and the lens' focus shifts to a further away object when the person is forced to look at a distant object.

Where in the eye are contact lenses placed?

Usually, contact lenses are put in the eye by resting them on the pad of the index or middle finger with the concave side facing up. Then, the user places the lens on the eye using that finger. Direct placement of rigid lenses on the cornea is recommended.

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A set of three resistors are set up in parallel. The resistor values are R1 = 3.0 Ohms, R2 = 11.0 Ohms, and R3 = 7.5 Ohms.
What is the total resistance of this circuit?
a
1.79 Ohms
b
0.60 Ohms
c
1.12 Ohms
d
2.97 Ohms

Answers

Answer:

A) 1.79ohms

Explanation:

Total resistance of resistors in parallel is given by ;

1/R = 1/R1 + 1/R2 +1/R3

Put in the values and make R the subject

How many core electrons does calcium have ?

Answers

I think 25 I’m not sure
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