A spring with a cart at its end vibrates at frequency 5.0Hz\;Hz .
A. Determine the period of vibration.
B. Determine the frequency if the cart's mass is doubled while the spring constant remains unchanged.
C. Determine the frequency if the spring constant doubles while the cart's mass remains the same.

And I can carry my nickels far more easily than you can your bucket of pen-nies. I would prefer to keep every pen-ny. A 40 inch circle would contain about 2507 pen-nies. About 493 nickels would be in a 20 inch circle.

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According to the question linear speed must an Earth satellite have to be in a circular orbit at an altitude of 204 km above Earth's surface is 30.682× [tex]10^{10}[/tex].

Astronomically speaking, an orbit is the curved path—typically elliptical—that a planet, satellite, comet, etc. takes when it revolves around another celestial body as a result of gravitation.

By Newton's second law

GMm/[tex]r^{2}[/tex] m[tex]v^{2}[/tex] /r.

Since the radius of Earth is 6.37 × [tex]10^{6}[/tex] m,

the orbit radius is r=(6.37×[tex]10^{6}[/tex] m+204×[tex]10^{3}[/tex] m)=1.3×[tex]10^{3}[/tex] m.

The solution for v is

v= [tex]\sqrt{\frac{GM}{r} }[/tex]​ ​ = (6.67×[tex]10^{-11}[/tex]× 5.98×[tex]10^{24}[/tex]/1.3×[tex]10^{3}[/tex])^1/2

⇒ v= 30.682× [tex]10^{10}[/tex]

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1 kilogramme of coal can provide 8 kWh of heat, hence power output here =30x8x10e6/1day =30x8x10e6x24 hours=2.7e15 joules

what is coal used for ?

In the United States, coal is largely utilised as a fuel to create electricity. Bituminous coal, subbituminous coal, or lignite are burnt in coal-fired power plants. The heat generated by coal combustion is utilised to turn water into high-pressure steam, which powers a turbine and generates electricity. According to the US Energy Information Administration, coal-fired power stations provided around 23% of all energy in the United States in 2019.

Steel may also be made from certain kinds of bituminous coal. Coal used to make steel must have a high carbon content while being low in moisture, ash, sulphur, and phosphorus. Metallurgical coal is coal that fits certain requirements.

1 kilogramme of coal can provide 8 kWh of heat, hence power output here =30x8x10e6/1day =30x8x10e6x24 hours=2.7e15 joules

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A camera that draws certain current with specified resistance needs a voltage supply which is calculated to be 18 V.

Given that,

Current i = 0.25 A

Resistance r = 72 ohms

Voltage supply v = ?

From Ohm's law, it is defined that, voltage across the conductor is directly proportional to the current flowing through it. Mathematically, it is represented as v = i r

where,

v is the voltage

i is the current

r is the resistance

Putting in the values, we have,

v = i r

v = 0.25 × 72 = 18 V

Thus, the required voltage supply by the camera is calculated to be 18 V.

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The gravitational force here between spheres has an estimated magnitude of 1.67 10-9 N.

Any two bodies' gravitational attraction is exactly equal to the sum of their masses and divided by the square of their distance from one another.

Gravity, often known as the gravity force will bring any two bodies together. Although everything in the cosmos is attracted to one another, this attraction is usually too weak to just be felt since the things are so far apart. Gravity's attraction lessens as things are moved farther apart, but its influence sphere is boundless.

F=GMm/r^2

G=6.67 x 10^-11N kg^2/m^2

M=(15kg)

m=15 kg

r=(3.0m)^2

putting values we have

(6.67 x 10^-11N kg^2/m^2)(15kg)(15kg)/(3.0m)^2

1.67 x 10^-9N

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The mass of the object is 36.43 kg.

We can use the equation for force (F) to determine the mass (m) of the object:

F = m × a

Where F is the force applied to the object, m is the mass of the object, and a is the acceleration of the object.

So, in this case, we know that:

F = 255 N

a = 7 m/s²

We can use this information to solve for the mass of the object:

m = F ÷ a

m = 255 N ÷ 7 m/s²

m = 36.43 kg

Therefore, the mass of the object is 36.43 kg.

It's important to notice that this equation only holds if the force applied is the net force, so if there are other forces such as friction or air resistance they should be considered in the calculation.

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If the motion of a particle is described by x=10 sin2t+8cos2t then the period , amplitude and phase angle will be:-

Period of the function is given by the reciprocal of the frequency, which is 1/2. Thus, the period is T = 2/1 = 2.

The amplitude of the function is given by the maximum value of the function minus the minimum value of the function. The maximum value of the function is 10 + 8 = 18 and the minimum value of the function is -10 + 8 = -2. Thus, the amplitude is A = 18 - (-2) = 20.

The phase angle is given by the angle between the x-axis and the line representing the function. The function is a combination of sine and cosine functions, so the phase angle is given by the angle between the x-axis and the line y = 10x + 8. The slope of this line is 10, so the phase angle is tan^-1(10) = 84.3 degrees.

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Kinetic energy is the type of energy that is acting in it when the ball is rolling down the ramp along with many forces such as rolling tangential force and gravitational force.

Rolling motion of any object occurs when the object starts sliding in a different methods from the other objects such as when the objects starts to roll from the ramp or any other sloppy surface and it rolls down due to the gravitational force and with many other forces such as the rolling tangential force. many forces are acting on the object at the same moment and we are just seeing the gravitational force which is playing a major portion. Hence by this information we can consider that the ball accelerates at a constant rate as it moves down the slope because of the constant gravitational force acting on it in a major portion and the rolling tangential force on the object is acting in the smaller form. also by this we tend to know that the Kinetic energy is the type of energy that is acting in it when the ball is rolling down the ramp.

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Answer:

0.90 seconds

Explanation:

Given Info:

Object of mass ⇒ 1.2 kg

Velocity of 2.0m/s when it is acted on by a force of 4.0 N

Velocity of the object Increased to 5.0 m/s

Question:

For what period of time does the force act on the object?

Solve:

We first need to know the formula:

F = ma  Or F = m(v-u)/t

F = force

m = mass of an object

a = acceleration

v = Final Velocity

u = Initial Velocity

a = Acceleration

t = Time Taken

Knowing that;

Force = 4.0 N

Mass of an object = 1.2 kg

Final velocity = 5.0m/s

Initial velocity = 2.0m/s

Time taken = [t]

Now lets plug it in the formula:

F = m(v-u)/t

4.0 = 1.2(5-2)/t

t = 0.90 seconds.

Hence, period of time at which force is acted on the object is 0.90 sec.

RevyBreeze

If three subintervals of equal length are used to do midpoint Riemann sum approximation of ∫f(x)dx from 3 to 6, then width of each subinterval is  1.

To find the midpoint Riemann sum, you first need to divide the interval of integration (from 3 to 6) into three subintervals of equal length. You can choose subintervals of equal length manually by dividing the interval of integration into smaller parts. If we let the width of each subinterval be x, then the length of the interval is 6-3 = 3 and the length of each subinterval, x is 3/3 = 1.

Then, you need to find the midpoint of each subinterval by adding the left and right endpoint of each subinterval and dividing by 2.

For example, the first subinterval is from 3 to 4, so the midpoint is (3+4)/2 = 3.5

the second subinterval is from 4 to 5, so the midpoint is (4+5)/2 = 4.5

and the third subinterval is from 5 to 6, so the midpoint is (5+6)/2 = 5.5

To approximate the area under the curve of f(x) for each subinterval, you can use the value of f(x) at the midpoint of each subinterval and multiply it by the width of the subinterval.

--The question is incomplete, answering to the question below--

"Let f be the function graphed below. If three subintervals of equal length are used, draw rectangles whose area represents a midpoint Riemann sum approximation of ∫f(x)dx from 3 to 6. Width of each subinterval is ____."

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It is important to note that vehicles without ABS may take longer to stop and have a greater risk of skidding or losing control, so it's important to be aware of the stopping distance and to drive with caution.

Anti-Lock Braking System (ABS) is an advanced safety feature that is commonly found in modern vehicles. It is designed to prevent the wheels of a vehicle from locking up during braking, which can cause the vehicle to skid and lose control.

If you need to stop quickly and your vehicle is not equipped with an Anti-Lock Braking System (ABS), you should:

Press the brake pedal firmly and steady, do not pump the brakes.

Steer the vehicle in the direction you want to go.

Avoid locking up the wheels by applying the brake pressure smoothly and progressively.

If the wheels lock, release the brake pedal slightly to regain traction and then reapply the brake pressure.

Keep a safe distance from the vehicle in front of you to give yourself more time to react and stop.

Hence, by following the above mentioned steps you can quickly stop a car not equipped with ABS.

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Machines and equipment use a variety of energy sources, including electrical, mechanical, hydraulic, pneumatic, chemical, thermal, and others.

Equipment and machinery that draw power from electrical, mechanical, hydraulic, pneumatic, chemical, thermal, or other sources may put workers at risk.

hazards to safety

biological threats

bodily dangers

hazards of ergonomics

chemistry risks

threats to organisations during work.

environment-related risks.

Potential energy, or stored energy in an object, poses a risk to employees if it is suddenly released.

Lockout is only one aspect of hazardous energy control. It includes measures like machine guarding, alternative guarding arrangements that stop exposure to hazardous energy, lockouts, and other ways to protect workers from coming into touch with such energy. Anything that could be harmful, hurt someone, or have negative health impacts on something or someone is said to be in a hazardous condition.

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Because alkylbenzenes, phenols, and thiophenols all share an aromatic hydrocarbon constituent, the answer to this question is A.

Compounds 1 and 2 are both used to create liposomes, and their kinetics are controlled. Compound 1 are controlled kinetically, whereas those made from Compound 2 are controlled thermodynamically. UV lasers like nitrogen lasers (337 nm) and frequency-tripled and quadrupled Nd:YAG lasers are frequently used in MALDI methods (355 nm and 266 nm respectively). An artificial substrate for lactase is hydrolyzed to extract lactase from dietary supplement tablets, which is then measured using a colorimetric assay (ortho-nitrophenol-beta-D-galactopyranoside, ONPG). Because alkylbenzenes, phenols, and thiophenols all share an aromatic hydrocarbon constituent, the answer to this question is A.

The complete question is- What is the reading of the energy meter in Figure 1 when an appropriate laser is used in PAC to dissociate a particular chemical bond?

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The statement that is not provide a drawback of using coal energy for energy production is (D) difficult transportation due to instability.

Coal is source of fossil energy created by dead plant drawn in swamp environments and subjected by geological pressure and forces of heat over hundreds of millions of years. The disadvantage using this source of energy are:

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It is true that on looking vertically down into the water the black line appears to be closer that it really is.

A material's refractive index, which is quantified, indicates how much a light path is bent or refracted when it penetrates that material.

The critical angle for total internal reflection and the amount of light that is reflected when it reaches the contact are both determined by the index of refraction.

Due to the refraction of light rays as they pass through water and into the air, an item seen in the water typically appears to be deeper than it actually is.

Since the angle subtended by the object is greater, it "appears" larger because the light's refraction away from the normal changes the angle at which the light appears at the eye.

Thus, the given scenario is true.

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Initial velocity of 2.4 m/s and an angle of 60°.

The x component is 2.4 m/s cos(60°) = 2.4 m/s (0.5) = 1.2 m/s

The y component is 2.4 m/s sin(60°) = 2.4 m/s (0.866) = 2.08 m/s

Initial velocity is the speed an object has when it starts moving in a certain direction. It is the speed that an object has before any external forces act upon it. Initial velocity is a vector quantity, meaning it has both a magnitude, or size, and a direction. Initial velocity is usually measured in meters per second (m/s). It is important to note that the initial velocity of an object can be different depending on the reference frame from which it is measured.

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The complete question is-

A paper airplane is thrown with an initial vclocity of 2,4 m and angle of 60" Find the Voz: 012m/s 0.62 mn/& 0 1.70 m/8 208 m/$

The potential impacts of global climate change on thermohaline circulation in the oceans is increasing the rate of circulation. That is option D.

The thermohaline circulation is defined as the process by which deep-ocean currents are driven by differences in the water's density, which is controlled by temperature (thermo) and salinity (haline).

When there is global climate change increased temperature of water masses would cause these currents to flow faster given the higher kinetic energy of the water molecules.

Therefore, there is increase in rate of circulation when there is global climate change.

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The formula x(t) = 4t3 + 6sin(t) provides the location of an item. Discover the object's acceleration at time t=2. The variation in velocity called the acceleration.

If x(t) = 4t3 + 6sin(t), then its derivative, v(t) = 12t2 + 6cos(t), provides the velocity (t). Then, the derivative of velocity, a(t) = 24t 6sin, gives the acceleration (t) Therefore, a(2) = 24 2 6sin(2) = 42 6sin(2) gives the acceleration at time t = 2. The overall change in velocity during the specified interval divided by the total amount of time required for the change is the definition of average acceleration over a particular period of time. It is represented as for a specific amount of time. Where is the average acceleration and v2 and v1 are the instantaneous velocities at time t2 and t1, respectively.

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Answer:

Below

Explanation:

Mech adv = effort arm / load arm = 15 / 5 = 3

To solve this we must be knowing each and every concept related to force. and its different types. Therefore,  the mechanical advantage is 3.

A force is an outside entity that has the power to alter a body's state of rest or motion. It has a direction and a magnitude. The point where forces are applied is determined either by the force's direction as well as the application of the force.

Your training at this level should place a major emphasis on the idea which a push or even a pull was refereed to as a force. In our daily lives, forces appear in a variety of ways. as in weight and power. It refers to the force a bat applies to a ball and the strength a hairbrush has when stroking hair.

Mech adv = effort arm / load arm = 15 / 5 = 3

Therefore,  the mechanical advantage is 3.

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When Justine is ice-skating, her final velocity if she accelerates at a rate of 2.0 m/s² for 3. 5 seconds is 7 m/s and it would take Jesse 5.4 seconds to stop the bicycle moving at an initial velocity of 13.5 m/s by accelerating at -2.50 m/s².

To find Justine's final velocity, we can use the equation:

v = u + at

where v is the final velocity, u is the initial velocity (which is assumed to be 0 in this case), a is the acceleration, and t is the time. So

v = 0 + (2.0 m/s²) × (3.5 s) = 7.0 m/s

To find the time it would take for Jesse to bring his bicycle to a stop, we can use the equation:

v = u + at

where v is the final velocity (which is assumed to be 0 m/s in this case as bicycle is brought to a stop), u is the initial velocity, a is the acceleration, and t is the time.

Given that a = -2.5 m/s² (negative sign indicates deceleration) and u = 13.5 m/s.

so t = (v - u) / a = (0 - 13.5 m/s) / -2.5 m/s² = 5.4 seconds

It would take Jesse 5.4 seconds to bring his bicycle to a complete stop.

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Answer:

To solve this problem, you can use the principle of transverse static equilibrium. This states that the sum of the forces acting on an object must be equal to zero for the object to be in equilibrium. In this case, the forces acting on the rod are the tension in the strings, the weight of the rod, and the weight of the masses hung on the rod.

First, you can find the weight of the rod by multiplying its mass by the acceleration due to gravity:

Wrod = mrod * g

= 0.7 kg * 9.8 m/s^2

= 6.86 N

Next, you can find the weight of the 4.0-kg mass by multiplying its mass by the acceleration due to gravity:

W1 = m1 * g

= 4.0 kg * 9.8 m/s^2

= 39.2 N

You can find the weight of the 2.0-kg mass in the same way:

W2 = m2 * g

= 2.0 kg * 9.8 m/s^2

= 19.6 N

To find the tension in the strings, you can use the principle of transverse static equilibrium. The forces acting on the rod are the tension in the strings, the weight of the rod, and the weight of the masses hung on the rod. You can represent these forces as vectors acting at the points where the strings are attached to the rod. The vectors representing the tension in the strings will be equal in magnitude but opposite in direction. The vectors representing the weight of the rod and the masses will act vertically downward.

[asy]

unitsize(2cm);

pair P1, P2, P3, P4;

P1 = (0,0);

P2 = (1,0);

P3 = (0.8,0);

P4 = (0.2,0);

draw((-1,0)--(2,0));

draw((0,-1)--(0,1));

draw(P1--P3,red,Arrow(6));

draw(P2--P4,red,Arrow(6));

draw(P3--P4,red,Arrow(6));

draw((P1)--(P1+(0,-0.7)));

draw((P2)--(P2+(0,-4)));

draw((P2)--(P2+(0,-2)));

label("$T_1$", (P1 + P3)/2, red);

label("$T_2$", (P2 + P4)/2, red);

label("$W_{rod}$", (P3 + P4)/2, red);

label("$W_1$", (P2 + P4 + (0,-4))/2, red);

label("$W_2$", (P2 + P4 + (0,-2))/2, red);

label("$12$ cm", (0,0.2), red);

label("$20$ cm", (0.4,-0.4), red);

label("$25$ cm", (0.75,-0.4), red);

[/asy]

The sum of the forces in the x-direction must be equal to zero, so you can set up the following equation:

T1 - T2 = 0

The sum of the forces in the y-direction must also be equal to zero, so you can

Sound is important because it engages audiences: it helps deliver information, it increases the production value, it evokes emotional responses.

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As the values are closed to each other, Jane's measurements are precise.

The precision of a substance is defined as the degree to which two or more measurements agree with one another.

It is incredibly precise but not always accurate to measure something if you measured it five times and get around 1.50 cm each time. Accuracy is not necessary for precision. There are various categories of precision:

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Each base is at the intersection of a square-shaped infield in baseball. 8100 square feet, 900 square yards, or 90 × 90 square feet make up the space.

Nine players occupy the diamond-shaped field that is used for baseball. There are two main areas of the field: the infield and the outfield. Four infielders and two core players cover the infield. Three outfielders cover the outfield.

In a letter dated May 26, James Cannon expressed shock that the "diamond" form is referred to as a rhombus. A baseball diamond, he pointed out, is essentially a square.

The elevated dirt area in the middle of the infield known as the hill—also known as the pitcher's mound—is where the pitcher throws. The pitcher's rubber is located directly behind the middle of the mound and is what they use to prepare and throw the ball.

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The first question is asking which phase change occurs when steam is cooled to 100°C. The answer is condensation.

The second question is asking for the term that refers to the amount of energy needed to change a liquid into a gas, without changing its temperature. The answer is heat of vaporization.

The third question is asking in which phase change hydrogen bonds are formed. The answer is freezing.

The fourth question is asking for the amount of energy required to raise the temperature of 20 g of a substance from 72°C to 88°C, given that the specific heat of the substance is 0.215 J/g°C. To solve this problem, you can use the formula Q = m * c * delta T, where Q is the energy required, m is the mass of the substance, c is the specific heat, and delta T is the change in temperature. Plugging in the given values, you get Q = 20 g * 0.215 J/g°C * (88°C - 72°C) = 68.8 J. Therefore, the answer is 68.8 J.

When the distance between the plates is decreased to 1.90 mm, the capacitance of the capacitor will increase and the energy stored in the capacitor will also increase.

However, since the voltage across the plates is not given, it is not possible to calculate the energy stored in the capacitor after the separation of the plates has been changed

The below equation gives the capacitance of a parallel-plate capacitor.

C = ε * A / d

Where ε is the dielectric constant of the material between the plates, A is the area of the plates and d is the distance between the plates.

The energy stored in a capacitor is given by the equation:

Energy = 1/2 * C * V^2

where V is the voltage across the plates and C is the capacitance

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When you catch a ball you threw in the skies at the a speed exceeding 14.9 m/s, it will also travel at the same speed when you catch it.

Time is a scalar that indicates the direction and speed of an object's motion. Usually, it is expressed in terms of measures of speed per amount of time, including m / sec (m/s) or miles each hour (mph) (mph). Speed is the size of velocity, a vector number that indicates both the direction and the speed of motion. Pace is a positive number with a unit of distance traveled per second.

When something is launched into air, it is exposed to the downward-moving force of gravity. The item accelerates downward at a velocity of 9.8 m/s2 as a result of this force

The object will slow down so that it rises and accelerate up as it lowers due to this acceleration. However, if there is very little time between the ball's release and the catch, the ball won't have a chance to slow down much. As a result, the pace at which i catch the ball will be quite similar to the pace at which originally threw it.

The ball will therefore continue to move at the same pace that it did when thrown.

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The heat energy of the substance option (A) -1700J is correct.

We are given that,

Heat of fusion of a substance = ΔHf = 42.5J/g

Mass of the substance = m= 40g

The latent heat of fusion is the quantity of heat required to transform one gramme of a substance from a solid to a liquid. But in this case, it's important to figure out how much heat is released as liquid copper solidifies. So, ΔHf = -42.5 J/g

Thus , we have to calculated here the heat energy of the substance by the formula,

q = m·ΔHf

Where, q is heat energy ,m is mass ΔHf is the heat of fusion of a substance,

q = m·ΔHf

q = -42.5 J/g× 40g

q = -1700J

Therefore , the heat energy of the substance would be option (A) -1700J

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To find the acceleration, angular momentum, torque, and angle of an object subject to a force and moving towards the origin, we need to know the velocity and force vectors of the object.

The acceleration of the object can be found by taking the derivative of the velocity vector with respect to time. If the object is moving towards the origin, the acceleration vector would be in the opposite direction of the velocity vector.

The angular momentum of the object about the origin can be found by taking the cross product of the position vector of the object and its velocity vector. The angular momentum is a vector quantity that is perpendicular to both the position and velocity vectors.

(c) The torque about the origin acting on the object can be found by taking the cross product of the position vector of the object and the force vector acting on it. The torque is a vector quantity that is perpendicular to both the position and force vectors.

The angle between the velocity of the object and the force acting on it can be found by taking the dot product of the velocity and force vectors and dividing by the magnitudes of both vectors. The angle between the two vectors is measured in radians and can be used to determine how much the force is affecting the velocity of the object.

It's important to note that all these calculations are vector calculations and they are all performed in three-dimensional space and require knowledge of vector calculus and physics.

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Answer:

B

Explanation:

it has the best view for seeing the shape of the arm in a spiral galaxy

The type of view would best allow scientist to see the shape of the arm in a spiral galaxy is Side diagnol.

Spiral galaxies are twisted collections of stars and gas that often have beautiful shapes and are made up of hot young stars.

Most of the galaxies that scientists have discovered so far are spiral galaxies, as opposed to the other two main categories of galaxy shapes — elliptical and irregular. The Milky Way – the galaxy that includes Earth and our solar system – is an example of a spiral galaxy.

The majority of spiral galaxies have a flat, spinning disk of stars around a central bulge. Older, fainter stars make up the bulge in the center, which is thought to house a supermassive black hole.

Therefore, The type of view would best allow scientist to see the shape of the arm in a spiral galaxy is Side diagnol.

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