if the stars at the turnoff point of a cluster have a mass of 3 m, what is the age of the cluster?

A free-body diagram represents the forces acting on a body. Let's draw a free-body diagram showing the forces acting on an elephant: Here, the force acting downwards is the weight (W) of the elephant, which is balanced by the normal force (N) exerted by the ground.

Weight of the elephant on Earth: The weight of the elephant is equal to the force due to gravity acting on it. On Earth, the acceleration due to gravity (g) is approximately 9.81 m/s².

So, the weight of the elephant on Earth = mass × acceleration due to gravity= 3500 kg × 9.81 m/s²= 34335 N.

Therefore, the weight of the elephant on Earth is 34335 N.

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I'm guessing that you need the force, since the question doesn't specify I'll just use the force equation. If this is not what you wanted let me know in the comments section of this answer.

- F = 300 x 4

- F = 1200 N (newtons)

Answer:

Not acted upon there is no motion

Forces acted upon there is motion

You can refer to the definition stated below:

Newton's first law states that every object will remain at rest or in uniform motion in a straight line unless compelled to change its state by the action of an external force. This is normally taken as the definition of inertia. ... If that velocity is zero, then the object remains at rest.

Some people object to the inverted pyramid style, saying it has lost its usefulness for a variety of reasons, including- Increased reader sophistication, Lack of drama and Digital media.

The inverted pyramid style, which features the most significant information at the top and the least important at the bottom, is widely used in journalism. However, some individuals object to this style, claiming that it has lost its usefulness for various reasons, including:

Increased reader sophistication: According to some, the pyramid style is unsuitable for a more educated readership. They argue that the inverted pyramid's oversimplification of facts does not meet modern reader expectations.

Lack of drama: Because the inverted pyramid's central event is displayed at the beginning, the story can lose its drama as it unfolds. They also argue that a traditional storytelling approach is better suited for dramatic stories.

Digital media: In recent years, digital media has altered the way news is delivered and consumed. With the advent of click-bait articles and scrollable pages, the inverted pyramid is deemed less effective for digital media platforms. Instead, writers must adapt to the requirements of online audiences and deliver compelling and concise material to grab their attention. Overall, the pyramid-style may still be appropriate for certain articles. However, due to an increasing readership, a focus on storytelling, and changes in digital media, the traditional approach is losing its effectiveness.

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The time of motion of ball A before they collide is 5.1 seconds.

The two balls will collide at a time "t" when they attain a certain height "h".

The equation of motion of the two balls is given as follows;

when they collide;

\(h_A = 30(t+ 4) - \frac{1}{2} g(t+ 4)^2\\\\h_B = 30t - \frac{1}{2} gt^2\)

\(h_B = h_A\\\\30t - \frac{1}{2} gt^2 = 30(t + 4) - \frac{1}{2} g(t + 4)^2\\\\30t - \frac{1}{2} gt^2 = 30t + 120- \frac{1}{2}gt^2- 4gt -8g\\\\0 = 120 -4gt -8g\\\\4gt +8g = 120\\\\4(9.8)t + 8(9.8) = 120\\\\39.2t + 78.4 = 120\\\\39.2 t = 41.6\\\\t = \frac{41.6}{39.2} \\\\t = 1.1 \ s\)

Thus, the time of motion of ball A before they collide is (1.1 + 4) = 5.1 seconds.

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a) The initial speed of the cars is 6.00 m/s.

b) The work done by the actor is 8.00 × 10⁵ J.

This work done by the actor transferred energy to the front car in the form of kinetic energy.

(a) The initial speed of the cars can be determined by applying the principle of conservation of momentum. Before the uncoupling, the total momentum of the four cars is zero since they are all moving together. After the uncoupling, the momentum of the first car changes while the momentum of the remaining three cars remains the same.

Let's denote the initial speed of the cars as v. The momentum of the first car after the uncoupling is (2.50 × 10⁴ kg) × 4.00 m/s southward, while the momentum of the remaining three cars is (2.50 × 10⁴ kg) × 2.00 m/s northward each. Setting up the momentum equation, we have:

(2.50 × 10⁴ kg) × v = (2.50 × 10⁴ kg) × 2.00 m/s + (2.50 × 10⁴ kg) × 2.00 m/s + (2.50 × 10⁴ kg) × 2.00 m/s

Simplifying the equation, we find:

(2.50 × 10⁴ kg) × v = (2.50 × 10⁴ kg) × 6.00 m/s

Dividing both sides by (2.50 × 10⁴ kg), we get:

v = 6.00 m/s

Therefore, the initial speed of the cars is 6.00 m/s.

(b) The work done by the actor can be calculated using the work-energy principle. The work done is equal to the change in kinetic energy of the first car. Since the first car's speed increases from 0 to 4.00 m/s, the change in kinetic energy can be expressed as:

ΔKE = (1/2) × (2.50 × 10⁴ kg) × (4.00 m/s)² - (1/2) × (2.50 × 10⁴ kg) × (0 m/s)²

Simplifying the equation, we find:

ΔKE = 0.5 × (2.50 × 10⁴ kg) × (4.00 m/s)²

ΔKE = 8.00 × 10⁵ J

Therefore, the work done by the actor is 8.00 × 10⁵ J.

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Answer:

s = 45 m

Explanation:

The velocity given in the question is uniform. Hence, the formula for the uniform velocity shall be used here. The formula is given as follows:

\(s = vt\)

where,

s = distance traveled away from the brother = ?

v = constant speed = 3 m/s

t = time taken = (0.25 min)(60 s/1 min) = 15 s

Therefore, using these values in the formula we get:

\(s = (3\ m/s)(15\ s)\\\)

s = 45 m

As energy is conserve:

\(Epi+Ekl=Epf+Ekf\)

i - initial

f - final

Beginning object at rest, \(Eki=0\). Object on the lowest position, hence \(Epf=0\).

Therefore:

\(Epi=Epf\)

\(M.g.h.=\frac{1}{2} (v^{2} )\)

Assume no Mass changed:

\(g.h.=\frac{1}{2}( v^{2} )\)

V is at bottom and assuming that \(g=\frac{10m}{s^2}\):

\(v=\sqrt{2gh}\)

\(v=\sqrt{2(10)(80)}\)

\(v=\sqrt{1,600}\)

\(v=40\)

The velocity is \(40m/s\)

If the universal gravitation constant G is expressed as \(m^ps^qkg^r\), the values of p,q, and r is 3, -2, and -1 respectively.

Newton's law of gravitation, states that any particle of matter in the universe attracts any other with a force varying directly as the product of the masses and inversely as the square of the distance between them.

Mathematically, this law is given as;

F = GmM/R²

where;

The S.I unit of G is calculated as;

G = FR²/mM

G = (kg.m/s² x m² ) / (kg²)

G = (m³)/(kg.s²)

If G is expressed as \(m^ps^qkg^r\), the values of p,q, and r is calculated as follows;

From the S.I unit of G, the values of p,q, and r  is;

p = 3

q = -2

r = - 1

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The first image shows a speed - time relation in which the speed is zero and the the object is not moving. The second graph shows a constant velocity and the third one shows an increasing velocity with time.

A speed - time graph represents the change in speed of an object with respect to the time. The speed can be increasing with time or decreasing. Speed of an object is dependent on the path through which it is moving and the mass, frictional force etc.

Here, the first image shows no no values for the y - axis and and thus, the image is not moving. The second graph shows a parallel line which is showing there is no change in speed with the time. This indicates that the object is moving with a constant speed.

The graph C plots an increasing speed with respect to time. The straight line diagonal to the x, y axis indicates the increasing speed.

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i. The elasticity at point \( g \) is the measure of responsiveness or sensitivity of a quantity to changes in another variable at point \( g \).

ii. To determine the elasticity at point \( h \), we first need to establish what quantity we are referring to at point \( h \). Once we have identified the relevant quantity, we can then calculate its elasticity by measuring the responsiveness or sensitivity to changes in another variable at point \( h \).

i. To determine the elasticity at point \( g \), we need specific information about the variables and their relationship. Elasticity is typically calculated as the percentage change in one variable divided by the percentage change in another variable.

ii. Without additional information about the specific variables and their relationship at point \( h \), it is difficult to provide a precise answer. The concept of elasticity requires specific context and variables to be defined in order to calculate or describe it accurately.

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Answer:

A blue book absorbs the light and creates the color blue. It is opaque. A blue stained glass window lets light pass through and absorbs some light. It is translucent.

Explanation:

Given that the radius of the circular path is r = 142 m and the coefficient of the friction is

The condition for the car to travel safely is

Frictional force = centrifugal force

Here, m is the mass of the car and the acceleration due to gravity is g = 9.8 m/s^2.

v is the maximum speed of the car.

Answer:

2.22m/s^2

Explanation:

When a source of light waves is moving away from the observer, the light waves appear to be dispersed. If the galaxy weren't moving, the spectral lines observed in the galaxy would be at shorter  wavelengths.

Because the relationship between wave frequency and wavelength is inverse, gamma rays have incredibly short wavelengths that are barely a fraction of the size of atoms, whereas other wavelengths can go as far as the universe. Regardless of the medium they travel through, electromagnetic radiation's wavelengths are commonly represented in terms of the vacuum wavelength, even though this isn't always mentioned explicitly.

The wavelength of electromagnetic radiation affects its behavior. The speed of light is equal to wavelength times frequency. Frequency multiplied by the Planck constant equals energy. 1/wavelength is the wave number in cm. Along with the wavelengths of different parts of the electromagnetic spectrum, a rough estimation of the wavelength size is displayed..

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A vertical structural component called a steel column is employed in building to offer crucial support. They might transfer loads from beams, ceilings, floor slabs, or roof slabs to floors or foundations, or they might transport loads in compression.

Additionally, bending moments along cross-section axes may be present in steel columns. Explanation: Beam-column structural members are those that experience simultaneous heavy axial compressive loads and bending. Only the existence of eccentric load application, end moments, and transverse loads distinguishes a beam-column from a column. 3. Describe girt. They might transfer loads from beams, ceilings, floor slabs, or roof slabs to floors or foundations, or they might transport loads in compression. Additionally, bending moments near cross-section may exist in steel columns.

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(a) The location of the final image beyond the converging lens is 12.67 cm.

(b) The magnification of the final image is -0.82, indicating that it is inverted with respect to the object.

To find the location of the final image, we can use the lens formula for thin lenses, which is given by 1/f = 1/v - 1/u, where f is the focal length, v is the image distance, and u is the object distance.

For the diverging lens, u = -27 cm (since the object is in front of the lens), and f = -17 cm (negative for diverging lens). Using the lens formula, we find v1 = -153 cm.

For the converging lens, the object distance is -11 cm (since it is behind the diverging lens), and f = 17 cm. Using the lens formula again, we find v2 = 12.67 cm.

The magnification of the final image can be calculated using the formula magnification = v2/v1, which gives us -0.82. The negative sign indicates that the image is inverted with respect to the object.

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Answer:

Vector has magnitude and direction, scalar only has magnitude.

Answer:

A quantity that has magnitude but no particular direction is described as scalar. A quantity that has magnitude and acts in a particular direction is described as vector

Very little energy is dissipated in the thick connecting wires.

Resistance is inversely proportional to wire length, so less energy is dissipated through the wire and more energy is dissipated through the bulb. The resistance of the wires is low enough that there is not enough voltage drop across the wires so there is no noticeable voltage difference across the bulb.

The more bulbs you connect in series the brighter or brighter the bulb. The light is dimmer because less current flows through each bulb. This is because adding more bulbs in a series means adding more resistance. In a parallel circuit, current flows through separate branches. If another branch is added with another bulb, the current will have to follow an additional path. However the battery produces a constant voltage, so the current through the original lamp and its brightness remain unchanged.

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Acceleration is the rate of change of velocity over time, and it is calculated by dividing the change in velocity by the time taken for the change to occur.

To change velocity to acceleration, the initial velocity and final velocity must be known, as well as the time taken for the change to occur.

The formula for acceleration is given by:

a = (v_f - v_i) / t

where a is acceleration, v_f is final velocity, v_i is initial velocity, and t is the time taken for the change in velocity to occur.

For example, if an object initially travels at 10 meters per second and then accelerates to a final velocity of 20 meters per second over a period of 5 seconds, the acceleration can be calculated as follows:

a = (20 - 10) / 5 = 2 meters per second squared

Therefore, the acceleration of the object is 2 meters per second squared.

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Answer:bight

Explanation:

Answer:

Every year, the moon moves about an inch away

The force of friction acts in the direction opposite to the direction of motion, so it acts up the inclined plane in this case. We can use the following equations of motion to solve for the force of friction:

v^2 = u^2 + 2as

where v is the final velocity, u is the initial velocity (which is zero in this case), a is the acceleration, s is the distance traveled, and we can use the following equation to relate the force of friction to the normal force:

f_friction = μ_k N

where μ_k is the coefficient of kinetic friction and N is the normal force, which is the component of the weight of the block that is perpendicular to the inclined plane.

First, we need to find the distance traveled by the block down the incline. We can use trigonometry to determine the height of the incline:

h = sin(30°) x length of incline = 0.5 x length of incline

The length of the incline is not given in the problem, so we can leave it as a variable. The distance traveled down the incline is equal to the length of the incline multiplied by the sine of the angle of inclination:

s = length of incline x sin(30°) = 0.5 x length of incline

Now we can use the equation of motion to solve for the final velocity:

v^2 = u^2 + 2as

v^2 = 0 + 2 x 3.0 m/s^2 x 0.5 x length of incline

v^2 = 3.0 m^2/s^2 x length of incline

The final velocity is also given by:

v = √(2gh)

where g is the acceleration due to gravity and h is the height of the incline. Substituting the value of h we found earlier:

v = √(2gh) = √(2 x 9.8 m/s^2 x 0.5 x length of incline) = √(9.8 m^2/s^2 x length of incline)

Now we can equate the two expressions for v and solve for the length of the incline:

3.0 m^2/s^2 x length of incline = 9.8 m^2/s^2 x length of incline

length of incline = 3.27 m

Now we can use the length of the incline to find the normal force:

N = mg cos(30°) = 1.8 kg x 9.8 m/s^2 x cos(30°) = 15.26 N

Finally, we can use the coefficient of kinetic friction to find the force of friction:

f_friction = μ_k N = 0.23 x 15.26 N = 3.51 N

Therefore, the magnitude of the force of friction acting on the block is approximately 3.5 N, which is closest to option (3) 3.4 N.

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The focal length of the makeup mirror is 0.588 meters or approximately 58.8 centimeters.

To find the focal length of a makeup mirror that has a power of 1.70 D (diopters).

We can use the following formula:

f = 1/P

where f is the focal length in meters and P is the power in diopters.

Substituting P = 1.70 D into the formula, we get:

f = 1/1.70 D

f = 0.588 m

Therefore, the focal length of the makeup mirror is 0.588 meters or approximately 58.8 centimeters.

This means that light rays entering the mirror will converge at a distance of 0.588 meters behind the mirror's surface

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The Maximum current in inductor is 0.1681A , where frequency , RMS current , voltage are calculated.

Theory-

Principle-

Calculations-

I=0.552H

v=120 v

k=21.517

w=1m/s

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The atomic mass is the protons + the neutrons.

So your answer would be 5 + 6 = 11.

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Answer:

Heat transfer through radiation takes place in the form of electromagnetic waves, mainly in the infrared region. The radiation is emitted by some body as a consequence of the thermal agitation of its composing molecules.

Explanation:

The transfer of heat by radiation involves the carrying of energy from an origin to the space surrounding it. The energy is carried by electromagnetic waves and does not involve the movement or the interaction of matter.

Answer:

depressions of ozyan leyar

Answer:

\(\dfrac{-1}{2}\)

Explanation:

We need to divide the second number by the first number and the numbers are 3/4,-3/8​.

First number = 3/4

Second number = -3/8

Dividing the second number by the first number.

So,

\(\dfrac{\dfrac{-3}{8}}{\dfrac{3}{4}}\)

We know that,

\(\dfrac{\dfrac{a}{b}}{\dfrac{c}{d}}=\dfrac{a}{b}\times \dfrac{d}{c}\)

So,

\(\dfrac{\dfrac{-3}{8}}{\dfrac{3}{4}}=\dfrac{-3}{8}\times \dfrac{4}{3}\\\\=\dfrac{-1}{2}\)

So, the answer is (-1/2)