A roller coaster starts down hill at 15.3 m/s. Five and half seconds later, its speed is 42 m/s. Find the acceleration of the roller coaster.?

The speed of a wave traveling on a piano string can be calculated using the equation v = sqrt(T/μ), where v is the wave speed, T is the tension in the string, and μ is the linear mass density. For a 2.00 m long piano string with a mass of 10.0 g and a tension of 320 N, the wave speed is approximately 200 m/s.

To calculate the speed of the wave on the piano string, we need to determine the linear mass density (μ). Linear mass density is defined as the mass per unit length of the string, given by μ = m/L, where m is the mass and L is the length of the string.

In this case, the mass of the string is 10.0 g, or 0.01 kg, and the length is 2.00 m. Therefore, the linear mass density is μ = 0.01 kg / 2.00 m = 0.005 kg/m.

Next, we can use the formula v = sqrt(T/μ) to calculate the wave speed (v). The tension in the string is given as 320 N.

v = sqrt(320 N / 0.005 kg/m)

 = sqrt(64000 m^2/s^2 / 0.005 kg/m)

 = sqrt(12800000 m^2/s^2 / kg/m)

 = sqrt(12800000 m^2/s^2 * m/kg)

 = sqrt(12800000 m^3/s^2 / kg)

 ≈ 200 m/s.

Therefore, the speed with which a wave travels on this piano string is approximately 200 m/s.

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Hi there!

Part 1:

If the blocks are moving at a constant velocity:

∑F = 0

Begin by summing the forces acting on each block. Let the upward direction be positive.

∑F₁ = Ta - M₁g - Tb

∑F₂ = Tb - M₂g

Sum the forces:

∑F = Ta - M₁g - Tb + Tb - M₂g

∑F = Ta - M₁g - M₂g = 0

Solve for Tension A:

Ta = M₁g + M₂g (Let g = 9.8 m/s²)

Ta = 4.2(9.8) + 2.6(9.8) = 66.64 N

Now, solve for tension B using the summation of ∑F₁:

0 = Tb - M₂g

Tb = (2.6* 9.8) = 25.48 N

Part 2:

We can use the same method, but incorporate the acceleration:

∑F = Ta - M₁g - M₂g

(M₁ + M₂)a = Ta - M₁g - M₂g

(M₁ + M₂)a + M₁g + M₂g = Ta

(4.2 + 2.6)(1.2) + 4.2(9.8) + 2.6(9.8) = 74.8 N

∑F₂ = Tb - M₂g

M₂a + M₂g = Tb  = 28.6 N

Part 3:

Since the top string experiences most of the tension, we can use its equation to calculate the maximum acceleration:

∑F = Ta - M₁g - M₂g

(M₁ + M₂)a = Ta - M₁g - M₂g

a = (90 - M₁g - M₂g)/(M₁ + M₂)

a = 3.435 m/s²

Answer:

The influx of Ca2+ triggers the release of neurotransmitters stored in synaptic vesicles (B) by exocytosis.

hope this helps.

Answer:

The figure shows different possible transitions of electrons as they move from higher energy states to lower energy states. Which transition will produce the spectrum line with the lowest wavelength in this element’s atomic spectrum?.

Explanation:

The largest that the x-component of the wave can be is zero.

As the electromagnetic wave is traveling in the x direction and the y-component of the electric field is given, it means that there is no x-component of the electric field.

An electromagnetic wave is a transverse wave, which means that the oscillations of the electric and magnetic fields are perpendicular to the direction of propagation of the wave.

ln this case, the wave is traveling in the x direction, and the equation for the y-component of the electric field is given.

This means that the oscillations of the electric field are in the y direction and not in the x direction.

Therefore, it can be inferred that there is no x-component of the electric field in this wave. Since the x-component of the electric field is zero, it means that the largest that it can be is zero.

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Answer:

A) Blackbody radiation

Explanation:

i just took the test and this was my answer

Answer:

constructive interference

Explanation:

just did it

Answer:

All the options (a, b, c, and d) are correct situations for negative value of acceleration due to gravity.

Explanation:

Acceleration due to gravity is always acted towards the center of the earth. It's magnitude is \(9.8\rm{m/s^{2}}\).

As per the sign convention, downward direction is considered as negative.

Now, consider the cases:

1. When an object or ball is thrown upward: While moving upwards, gravity or gravitational acceleration opposes the motion of object. The object speed or displacement will be positive while gravity will be negative.

2. When an object is at the top or highest point of their path: When the object is at the top of its path, the gravity still acts downwards and the velocity becomes zero. So, gravity will be negative at this position.

3. When object is falling downward: While falling downwards, the acceleration and velocity will be negative as they both are directed downwards.

From the above points, the value of gravity will always be negative.

Therefore, in all the given options (a, b, c, and d), the acceleration will be \(-9.8\rm{m/s^{2}}\).

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Answer:

Resistance = 150 ohms

Explanation:

voltage (v)= 1500v

Current (C) = 10A

Resistance (R) = ?

Resistance =

\( = \frac{v}{c} \)

\( = \frac{1500}{10 } \\ = 150\)

resistance = 150 ohms

The displacement of Sue would be zero if her home is the origin.

This is because displacement is the change in the position of an object from its origin. To calculate displacement, you have to know the difference in distance of an object from its origin point to its final position. In short, the formula is as follows:

  s = x1 - x2 = Δx

If Sue's home is the origin, then her displacement would be the difference between her final position (home) and her initial position (home), which is zero. Therefore, Sue's displacement is zero.

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The total travelled distance is • Speed, time and distance is one of the most common and important topics in the Mathematics or Quant section.

Velocity is the pace and direction of an object's movement, whereas speed is the time rate at which an object is travelling along a path. In other words, velocity is a vector, whereas speed is a scalar value.

For instance, 50 km/hr west denotes the velocity of a car whereas 50 km/hr (31 mph) denotes the speed at which it is moving down a route.

The average speed of an object is determined by dividing the distance traveled by the amount of time it takes the object to reach the distance.

Therefore, The total travelled distance is • Speed, time and distance is one of the most common and important topics in the Mathematics or Quant section.

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Answer:

Tightly packed particles in solids slow down the light waves; however, sound waves make particles bounce into each other, so they travel faster in solids. (D).....

Tightly packed particles in solids slow down the light waves; however, sound waves make particles bounce into each other, so they travel faster in solids.

Sound wave is a mechanical wave because it requires material medium for its propagation.

In solid, the particles or atoms are closely packed together, which usually slow down light waves causing a greater speed when they bounce on each other.

Thus, we can conclude the following based on the data;

Tightly packed particles in solids slow down the light waves; however, sound waves make particles bounce into each other, so they travel faster in solids.

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Answer:

5824 yards^2

Explanation:

area = length x width

area = 112 x 52

area = 5824

Answer:

5824 squared yards

Explanation:

The electric field due to this charge distribution can be found by applying Gauss' law. The electric field at any point in space is the net sum of all the electric fields due to the individual charges.

Gauss' law states that the electric flux through any closed surface is equal to the charge enclosed by the surface divided by the permittivity of free space.

To calculate the electric field due to the charge distribution, the first step is to divide the quarter-circle into small segments. Each segment will have a charge q, and will be of width dx. The total charge in the quarter-circle is then given by the integral of q multiplied by dx from 0 to 2πa.

The electric field at any point P in the first quadrant is then given by the integral of q/4πε0 r2 multiplied by dx from 0 to 2πa, where r is the distance from the point P to the center of the quarter-circle. This gives the electric field at P to be:

E = (1/4πε0)∫ 0 to 2πa q/r2 dx

The electric field due to the charge distribution is therefore a function of the distance from the point P to the center of the quarter-circle, and is inversely proportional to the square of this distance.

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The maximum kinetic energy of electrons ejected from a metal surface by electromagnetic radiation of wavelength 311 nm is 2.50 ev.

Define kinetic energy?

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To find the average velocity on a velocity-time graph, you need to calculate the slope of the line connecting two points on the graph. The average velocity represents the change in velocity divided by the change in time between those two points.

To calculate the average velocity, you can use the formula:

Average velocity = (change in velocity) / (change in time)

You can determine the change in velocity by finding the difference between the final velocity and the initial velocity. The change in time is the difference in the time coordinates of the two points.

Select two points on the velocity-time graph, typically denoted by (t₁, v₁) and (t₂, v₂), where t represents time and v represents velocity. Then, substitute the values into the formula mentioned above to calculate the average velocity.

It's important to note that the average velocity provides information about the overall change in velocity over a specific time interval, rather than instantaneous velocity at a particular moment.

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Hi there!

We can begin by summing forces acting on the load:

∑F = T - Mg (where g ≈10 m/s²)

ma = T - Mg

We can plug in the given values to solve:

ma = 2000 - 175(10)

175a = 250  

a = 250/175 = 1.43 m/s² UPWARDS

Answer:

a = 1.63 m/s^2

Explanation:

m = 176kg

Ft = 2000N

  2000 = 175 (9.8) +175(a)

    2000   = 1715 +175a

    -1715       -1715

285 = 175a

175     175

a = 1.63m/s^2  

The pressure drop in a 3/8-inch liquid line with a 40-foot vertical lift is 20 psig.

option B

When extracting oil from low pressure systems, 130 degrees Fahrenheit should be utilised since a greater temperature will result in less refrigerant being present in the oil.

Rupture discs are employed when a pressure relief device has to open completely and instantly. These devices are also employed when a relief device's leakage must be "zero."

The rupture disc in question has a burst pressure of 30 PSI at a temperature of 130 °C.

Temperature has a big impact on how well a rupture disc performs since the thin metal rupture element's physical strength fluctuates with temperature. The pressure of the vapour created by the evaporation of a fluid (or solid) over a sample of the fluid (or solid) in such a closed container is known as the vapour pressure of a liquid, also known as the equilibrium pressure of a vapour over its liquid (or solid).

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The deflection angle would have been 37.29º if the prism had been made of polystyrene plastic.

As we know that the deflection angle is an angle between the moving object from its directed course.

In the following question the deflection angle as laser enters the beam is, B = 22.6º

refractive index of glass, n1= 1.52

refractive index of polystyrene plastic, n2 = 1.59

Now when we see for the second surface then ,

B  = 45º - 22.6º

B  = 22.40º

So from Snell's law:

n1 sinθ1 = n2 sinθ2

→ sin B / sinθ = n1 / n2

sinθ = (sin 22.40º) × ( 1/ 1.59)

θ = 37.29º

Thus, the deflection angle should be 37.29º if the prism is made of polystyrene plastic.

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Answer:

Positively charged nuclei are packed in an organized pattern, and the negatively charged valence electrons flow freely.

Explanation:

The atoms in a conducting wire are organized by the Positively charged

nuclei being packed in an organized pattern, and the negatively charged

valence electrons flow freely.

A conducting wire involves the flow of electric current between the

atoms.The electric current excites the electrons thereby resulting in their flow .

The valence electrons are affected because they haven't achieved an

octet configuration and aren't stable which gives rise to their free flow

within the wire.

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A&L Engineering, as an engineer, you've been tasked with evaluating the durability of three common materials used in the design of cell phone cases.

These materials include:Carbon FiberPolycarbonateTPUExplanation:Carbon fiber is a lightweight, durable, and corrosion-resistant composite material. It is often used in the aerospace, automotive, and sporting goods industries.Polycarbonate is a thermoplastic polymer that is strong, shatter-resistant, and lightweight. It is often used in the production of CDs, DVDs, and eyeglass lenses.

TPU (thermoplastic polyurethane) is a flexible, soft material that is abrasion-resistant and provides excellent impact protection. It is often used in the production of phone cases, as well as sporting equipment and medical devices.To evaluate the durability of these materials, you can conduct a series of tests to measure their resistance to impacts, scratches, and bending.

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From conservation of momentum we have that:

Therefore the velocity of the 1 kg ball after the collision is 2 m/s to the left.

The unit of Strain is B. None of the mentioned

The correct answer is B) None of the mentioned.

Strain is a dimensionless quantity and does not have a unit. It is defined as the ratio of the change in length (or deformation) to the original length of an object. Since it is a ratio of two lengths, the units cancel out, resulting in a dimensionless quantity.

Strain is defined as the ratio of change in dimension of a body to the original dimension. E.g. longitudinal strain is defined as the ratio of change in length to the original length.

Since it is a ratio of two quantities having the same dimension, strain is a unitless quantity.

So, the correct answer is B) None of the mentioned

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(c) Total internal reflection occurs

when the incident angle is greater than the critical angle.

To draw the vector C⃗ =A⃗ +B⃗, we need to follow these steps:

1. Draw the vector A⃗ on a coordinate plane.

2. Draw the vector B⃗ starting from the end point of vector A⃗.

3. The end point of vector B⃗ will be the end point of vector C⃗.

4. Draw a line from the starting point of vector A⃗ to the end point of vector B⃗. This will be the vector C⃗.

5. Label the vector C⃗.

Here is a visual representation of these steps:

In this example, vector A⃗ is represented by the blue line, vector B⃗ is represented by the red line, and vector C⃗ is represented by the green line.

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Answer:

A hypothesis has research and evidence to back up the guess but a prediction is a random guess.

Explanation:

A hypothesis is about how something works that can be tested with experiments. If the hypothesis is correct, a prediction states what will happen in the experiment.

A hypothesis is an explanation proposed for a phenomenon. The scientific technique necessitates that a hypothesis be testable in order for it to be considered a scientific hypothesis.

Scientists typically base scientific hypotheses on previous observations that cannot be adequately explained by existing scientific theories.

A prediction is what someone believes will occur. A forecast is a prediction, but not just for the seasonal changes. Pre means "before," and diction refers to speaking.

A prediction is therefore a statement about the future. It's a guess, occasionally premised on information or evidence, sometimes not.

Marigolds in hypothesis, for example, are thought to deter asparagus beetles. Prediction: If marigolds deter asparagus beetles and we grow asparagus next to marigolds, we should see fewer asparagus beetles when we plant asparagus with marigolds.

Thus, these are some differences between hypothesis and prediction.

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The final velocity of the truck after the collision is 12 m/s in the same direction (east) as before the collision.

To determine the final velocity of the truck after the collision, we can use the principle of conservation of momentum.

The initial momentum of the system (truck + minivan) before the collision is given by:

Initial momentum = (mass of truck) × (velocity of truck) + (mass of minivan) × (velocity of minivan)

                  = (3500 kg) × (20.0 m/s) + (2000 kg) × (0 m/s)  [since the minivan is parked]

Since the minivan is stationary before the collision, its initial velocity is 0 m/s.

The final momentum of the system after the collision is given by:

Final momentum = (mass of truck) × (final velocity of truck) + (mass of minivan) × (final velocity of minivan)

                 = (3500 kg) × (final velocity of truck) + (2000 kg) × (14.0 m/s)  [given]

According to the conservation of momentum, the initial momentum of the system should be equal to the final momentum:

Initial momentum = Final momentum

(3500 kg) × (20.0 m/s) + (2000 kg) × (0 m/s) = (3500 kg) × (final velocity of truck) + (2000 kg) × (14.0 m/s)

Now, we can solve the equation to find the final velocity of the truck:

(3500 kg) × (20.0 m/s) = (3500 kg) × (final velocity of truck) + (2000 kg) × (14.0 m/s)

70000 kg·m/s = (3500 kg) × (final velocity of truck) + 28000 kg·m/s

42000 kg·m/s = (3500 kg) × (final velocity of truck)

final velocity of truck = 42000 kg·m/s / 3500 kg

final velocity of truck = 12 m/s

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