the two most important properties that should be relatively homogeneous at the same altitude in an air mass are:

A useful technique for estimating the shapes of many asteroids has been D) measurement of brightness variations caused by asteroid rotation.

The most useful technique for estimating the shapes of many asteroids has been the measurement of brightness variations caused by asteroid rotation. This method is known as light curve analysis.

As an asteroid rotates, different parts of its surface become visible, causing changes in its observed brightness. By monitoring the asteroid's brightness over time, astronomers can construct a light curve, which is a graph showing the variation in brightness as the asteroid rotates.

The shape of an asteroid can be inferred from its light curve by analyzing the amplitude and duration of the brightness variations. The light curve provides information about the asteroid's rotation period, axis orientation, and overall shape. Different shapes, such as elongated or irregular, can produce distinct patterns in the light curve.

While options A, B, and C may provide valuable information about asteroids, they are not specifically focused on estimating their shapes. Measurement of occultations of stars by asteroids (option A) can provide information about an asteroid's size and position but not its detailed shape. Direct photography from Earth (option B) and spacecraft (option C) can reveal surface features and composition but may not provide a comprehensive view of the asteroid's shape.

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The merry-go-round takes approximately 29.41 seconds to complete 2.00 rotations.

Given data:

Acceleration (α) = 0.135 rad/\(s^2\)

Number of rotations (θ) = 2.00

To find the time taken (t) for 2.00 rotations, we need to use the formula:

θ = 0.5 * α * \(t^2\)

Rearranging the formula, we get:

\(t^2\) = (2 * θ) / α

Plugging in the given values, we have:

\(t^2\) = (2 * 2.00) / 0.135

\(t^2\) = 29.63

Taking the square root of both sides, we find:

t ≈ √29.63

t ≈ 5.439

Therefore, the time taken for the merry-go-round to complete 2.00 rotations is approximately 5.439 seconds.

Note: It's important to round the final answer to an appropriate number of significant figures, considering the given data. In this case, we have used four significant figures in the final answer.

However, if we want to adhere to the given significant figures in the acceleration (0.135 rad/\(s^2\)), the answer should be rounded to three significant figures. In that case, the final answer would be approximately 5.44 seconds.

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Answer:

36.6226 km/h

Explanation:

Answer:

a. q = qm/√2 b. qm/√(2LC)

Explanation:

a. Charge on the capacitor

Let U₁ = energy in inductor and U₂ = energy in capacitor and U = total energy in circuit.

So, U₁ + U₂ = U.

Since the energy is shared equally between the capacitor and inductor, U₁= U₂,so

2U₂ = U

and U₂ = U/2

Now U₂ = q²/2C where q is the charge on the capacitor with capacitance C and

U = (qm)²/2C where qm is the maximum charge on the capacitor.

Since U₂ = U/2,

Substituting the values for U₂ and U, we have

q²/2C = [(qm)²/2C]/2

q² = (qm)²/2

taking square-root of both sides, we have

q = qm/√2

b. The current in the inductor

Since the energy in the capacitor equals the energy in the inductor,

1/2LI² = 1/2q²/C where L is the inductance of the inductor and I the current through it.

I² = q²/LC

taking square-root of both sides, we have

I = q/√LC

substituting the value of q from above, we have

I = qm/√2 ÷ √LC

I = qm/√(2LC)

Answer:

the most elliptical orbit is that of COMETA

Explanation:

The eccentricity of a curve in defined as the ratio between lacia to the focus, called c and the value of the axis greater than

         ε = c / a

if we use Pythagoras' theorem

         c = \(\sqrt{a^2 - b^2}\)

   substituting

           ε = \(\sqrt{1 - (b/a)^2 }\)

if   ε = 0 we have a circumference

In the diagram presented the orbit of the comet is an ellipse a> b

          ε=\(\sqrt{1- x} \\ x = (\frac{b}{a} )^2\)

if we expand in series

             ε = 1 - x/2  

             ε=  \(1 - \frac{1}{2} \ (\frac{ b}{a} )^2\)

if we neglect the non-linear terms

            ε = 1

Earth's orbit is a small ellipse

             b / a = 149 10⁶ / 151 10⁶

             b / a = 0.98675

             ε = \(\sqrt{1- 0.98675^2}\)

               ε = 0.16

a very small ellipse

Planet X, despite not having data, it seems that the sun is in the scepter of the orbit, so b = a

therefore  both the semi-axes of the curve

        e = a / b

Consequently, the most elliptical orbit is that of COMETA.

Answer:

Let:

r= radius= 3cm= 0.03m

∅1= initial temperature= 30°C

∅2= final temperature= 100°C

∆∅= change in temperature= ∅2 - ∅1= 70°C

L.E.= linear expansivity= 0.000019k^-1

¥= 3L.E.= volume expansivity= 3(0.000019)= 0.000057k^-1

The initial volume of the metal sphere= 4/3(πr³)

= 4/3(π×0.03³)

= 4(π×0.03²×0.01)

= 4(3.142×0.0003×0.01)

= 4(0.000009426)

= 0.000037704

= 3.7704 × 10^-5m³

¥= V2 - V1/V1∆∅

V2= ¥V1∆∅ + V1

= (1.5044 × 10^-7) + (3.7704×10^-5)

= 0.00003785

= 3.785 × 10^-5m³

Therefore, the initial and final volume of the metre sphere are 3.7704 × 10^-5 and 3.785 × 10^-5 respectively.

The current through the floodlight is 2.5 amperes.

The power P consumed by an electrical device can be expressed as:

P = V x I

where V is the voltage across the device, I is the current flowing through the device, and P is the power consumed by the device.

In this problem, the power consumed by the 300-watt floodlight is given as P = 300 W and the potential drop across the floodlight is V = 120 V. To find the current I flowing through the floodlight, we can rearrange the equation as follows:

I = P / V

Substituting the given values, we get:

I = 300 W / 120 V

I = 2.5 A

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Answer:

It is a base

Explanation:

Because

Answer:it’s a base

Explanation: this is because the bases have a very bitter taste but a very slippery feel at the same time leading to a substance with a ph of 8.5 and the red turning to blue so this is a base

Answer:

Kinetic energy = 90.98 J

Explanation:

Given that,

The mass of a hammer, m = 2.2 kg

At a distance of 4.50 m above the ground, the hammer's total mechanical energy is 188 J.

We need to find the kinetic energy of the hammer at this height.

We know that,

Mechanical energy = kinetic energy + potential energy

\(188=K_E+mgh\\\\K_E=188-mgh\\\\K_E=188-2.2\times 9.8\times 4.5\\\\K_E=90.98\ J\)

So, the kinetic energy of the hammer at this height is equal to 90.98 J.

Answer:

Explanation:

\(m =800kg\\v = 15\\\\K.E = \frac{1}{2}mv^2\\ K.E= \frac{1}{2} \times 800\times 15^2\\= 400 \times 225\\= 90000 joules\\= 90 kilojoules\)

The power dissipated in the circuit is 163.3 W.

Given data Resistance of the resistor = 50 ohms

Reactance of the inductor = 70 ohms

Applied voltage = 120 V

Capacitance of capacitor = ?

Formula used

Power in an AC circuit = V²/R

= VI = V²/Z where

Z = impedance of the circuit The impedance of a series circuit is the sum of the resistance and reactance.

Z = R + jX where

j = √-1The impedance of the parallel circuit will be as follows Z

p = (ZL⁻¹ + ZR⁻¹ + ZC⁻¹)⁻¹The reactance of the capacitor will be -Xc because it has an inverse relationship with the inductor

Xc = 1/2πfC,

f = frequency

C = capacitance

Here, f = frequency of the source voltage

Now, let's solve the problemStep 1Find the impedance of the series circuit

Z = R + jX

Z = 50 + j70 ohms

Z = √50² + 70² ohms

Z = 86.6 ohms

Step 2

Find the impedance of the parallel circuit

Zp = (ZL⁻¹ + ZR⁻¹ + ZC⁻¹)⁻¹

Zp = [ (j70)⁻¹ + (50)⁻¹ + (-jXc)⁻¹ ]⁻¹

Zp = [ -j/70 + 1/50 - j/2πfC ]⁻¹

Zp = [ 1/(70² + 50²) - j(1/70 - 1/2πfC) ]⁻¹For resonance to occur,

Zp = R

Zp = ZRSo,86.6

ohms = 50 ohms + X86.6 - 50

= X X = 36.6 ohms

Step 3

Find the capacitance of the capacitor Xc = 1/2πfC36.6

= 1 / (2πfC)C

= 1 / (2πfXc)C

= 1 / (2π × 50 × 36.6) farad C

= 9.01 × 10⁻⁵ farad C

= 0.0901 microfarad

Step 4

Find the power dissipated in the circuit

Power = V²/Zp Power

= 120² / 86.6Power

= 163.3 watts

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The statement "the replace method in the string class replaces a character in the string, so it does change the content of the string" is true. Therefore, the correct option is (a) true. What is the replace() method?The `replace()` method is used to substitute a specified portion of a string with another specified string.

The method `replace()` produces a new string after replacing a specified character with another character. The original string is unaffected by the `replace()` method.To replace a substring with a new string, use the `replace()` method. It replaces all of the old characters with new characters. The old string is not affected by this method.

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Answer:

m = 96.53 grams

Explanation:

Given that,

The density of metallic platinum, d = 21.5 g/cm³

Volume, V = 4.49 cm³

We need to find the mass. Let it is m. We know that the density is equal to the mass per unit volume. So,

\(d=\dfrac{m}{V}\\\\m=d\times V\\\\m=21.5\times 4.49\\\\m=96.53\ g\)

So, the required mass is 96.53 grams.

Answer:

gravitational force. in my view but m not sure

Answer:

D

Explanation:

Hope this helped

Answer:

It will condese to 47

Explanation:

As per as the table chart , Substance G melting point at 47 and boiling point at 120 so AS per as the chart

Answer:

300x480 teaspoons

Explanation:

when converting cups to teaspoons just multiply by 48

Answer:

The answer should be 3tsp

Explanation:

3tsp

Answer:

It is not correct to conclude that one engine is doing twice the work of another just because it is generating twice the power. If one engine generates twice the power as the other, it may be generating the same amount of work in one half of the time.

Explanation:

It is not correct that the engine generating more power is doing more work. Because it is the time that differ between engines. The engine which generates twice power is completing the work within half time taken by the other engine.

Power is the rate of work done. When a force result in displacement of an object, it said to be work done on the object. The work done is a vector quantity and it is characterised by its magnitude and direction similar to the force.

Power is the ratio of change in work done to the change in time. Therefore, the more work done in a small time interval create the greater power.

The engine which is producing a power twice comparison to the other is completing the work in half of the time taken by the other engine. But, both might be doing the amount of work. Hence, the statement is wrong.

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Answer: As the variable resistance increases its resistance, the current which flow through the lamp will decrease and therefore its brightness decreases. ... If the resistors are very large, they have no impact and the lamps will be the same brightness.

Explanation:

Answer:

The intensity or brightness of the bulb increases as more dry cell is added in the circuit.

Explanation:

Hope it helps :)

A moving truck, a moving trailer, and a rolling block are three instances in which an object's mass determines the momentum primarily.

The velocity of a body or object determines its direction of motion.

Momentum is the product of mass and velocity of an object. It is mathematically represented as,

P = m* v

where,

m is the mass of the object

v is the velocity of the object

Following are three instances where an object's mass acts as the primary determinant of its momentum:

A moving truck

A moving trailer

A rolling block

The three examples given above shows three objects with heavy mass.

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Answer: Interstellar dust is effective at blocking visible light because dust grains are so small.

Explanation: To find the answer, we need to know more about the interstellar dust.

Thus, we can conclude that, Interstellar dust is effective at blocking visible light because dust grains are so small.

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The resultant velocity of the parachute is 3.4 m/s.

The term resultant velocity refers to the effective velocity  with which the parachute moves. We know that velocity is a vector quantity. Recall that a vector is known to have both magnitude and direction.

Given that the magnitude of the resultant vector can only be obtained geometrically we have;

Vertical component =   3.0 m/s

Horizontal component = 1.6 m/s

Resultant velocity = √(3)^2 + (1.6)^2

= 3.4 m/s

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In the given situation, the ships are sighted due west from a height of 50 meters above sea level on a cliff. The angles of depression are 61°  and 28° . The two ships are approximately 56.38 meters apart.

Let AB and CD be the two ships, and let E be the point on the cliff where they are sighted. Then, we have:

From E, draw lines perpendicular to AB and CD, meeting them at points F and G, respectively.

Also, let the distance between the two ships be x meters.

Using the trigonometric ratios for the right-angled triangles EFB and EGC, we can write:

tan 28° = BF/EB and tan 61° = CG/EG

Multiplying the two equations, we get:

tan 28° × tan 61° = BF/EB × CG/EG

Substituting the values, we get:

(0.531) x = BF/EB × CG/EG

Thus, the distance between the two ships is given by:

x = 50/(BF/EB × CG/EG)

Therefore, we need to find the values of BF/EB and CG/EG.

Using the trigonometric ratios, we can write:

BF/EB = tan 61° and CG/EG = tan 28°

Substituting the values, we get:

BF/EB = 1.969 and CG/EG = 0.531

Therefore, the distance between the two ships is:

x = 50/(BF/EB × CG/EG)

x = 50/(1.969 × 0.531)

x = 56.38 meters (approximately)

Thus, the two ships are approximately 56.38 meters apart.

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Answer:

C. 199.9 s

Explanation:

3 minutes = 3×60 = 180 seconds.

the turtle moves in that time 180×10 = 1800 cm.

in other words the rabbit gave it that much head-start (it does not matter if that was at the begin of in the middle of the race).

the rabbit moves with 10×10cm/s = 100cm/s.

the rabbit needs therefore 1800/100 = 18 seconds for the

1800 cm.

at that time the turtle has added another 18×10 = 180 cm.

for which the rabbit needs 180/100 = 1.8 seconds.

during that time the turtle has added 1.8×10 = 18 cm.

and so on.

in formal mathematics this looks like this :

1800 + 10x = 100x

after x seconds of the rabbit running both will have run the same distance, and it is a tie.

1800 = 90x

x = 20 seconds

so, at that point, the rabbit was actively running for 20 seconds and raced 20×100 = 2000 cm

and the turtle was actively running for 180 + 20 = 200 seconds, and also covered 200×10 = 2000 cm.

but our question tells us that the turtle won by 10 cm.

so, the race was over a little bit before these 200 seconds (for a tie).

this means, the rabbit could not run the last 10 cm for the tie (because the race was over and the turtle had won).

the rabbit would have needed 10/100 seconds for these 10 cm.

as speed = distance/time

we need to divide distance by speed

distance/1 / distance/time

to get time.

so,

10cm/1 / 100cm/s = 10s/100 = 1/10 s

so, we need to deduct this 1/10 s from the 200 seconds of the turtle (and also from the 20 seconds for the rabbit).

the race lasted of course the whole time the turtle was running (while the rabbit was resting, officially still participating in the race with speed 0 for 3 minutes).

and so, the race was 199.9 s long.

         The technology that sends information as light pulses via a glass or plastic fiber is known as fiber optics, or optical fiber. These glass fibers can range in quantity from a few to several hundred in a fiber optic cable. The glass fiber core is encircled by yet another glass layer known as cladding.

         In fiber optics, data is sent as pulses of light, or photons, that travel over a fiber optic cable. Incoming light is bent at a specific angle due to the differing refractive indices of the glass fiber core and cladding.

       Total internal reflection is the method by which light signals traveling through fiber optic cable bounce off the core and cladding in a series of zigzag motions. Due to the thick glass layers, the light signals move around 30% slower than the speed of light instead of at the speed of light.

     Fiber optic transmission sometimes needs repeaters at a distance to renew, or amplify, the signal throughout its path. By converting the optical signal to an electrical signal, processing that electrical signal, and then retransmitting the optical signal, these repeaters regenerate the optical signal.

      Up to 10 Gbps transmissions can currently be supported by fiber optic connections. A fiber optic cable often gets more expensive as its bandwidth capacity increases.

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Answer:

a star in andromeda

Explanation:

all of the other objects are in the milkyway (where we are) and the andromeda galaxy is 2 million light years away from us

Answer:

accelerating

Explanation:

untill an unbalanced force acting on a body, object at rest remain stationery while object on motion continue moving in constant velocity.

no resultant force means no acceleration.

Answer:

(A) The same

(B) More

(C) The magnitude of the parent's acceleration is 0.625 m/s²

Explanation:

The given parameters are;

The mass of the parent, m₁ = 64 kg

The mass of the child, m₂ = 16 kg

(A) By Newton's third law of motion, action and reaction are equal and opposite

Therefore, the action of the parent on the child is equal to the reaction of the child on the parent and vice versa

Therefore, the force experienced by the child is the same as the force experienced by the parent

(B) Newton's second law states that an objects acceleration is directly proportional to the applied force and inversely proportional to the mass of the object

Therefore, the parent and the child both experience the same force but the mass of the child is less than the mass of the parent and therefore, by Newton's second law, the acceleration of the child will be more than the acceleration of the parent for the same given force

(C) The acceleration of the child, a₂ = 2.5 m/s²

Let F₁ represent the force experienced by the parent, let F₂ represent the force experienced by the child and let a₁ represent the magnitude of the parent's acceleration

By Newton's third law, we have;

F₁ = F₂

Force, F = Mass, m × Acceleration, a

We can write, F = m × a

Therefore;

F₁ = m₁ × a₁ and F₂ = m₂ × a₂

∴ F₁ = F₂ gives;

m₁ × a₁ = m₂ × a₂

a₁ = (m₂ × a₂)/m₁ = (16 × 2.5)/64 = 0.625

∴ The magnitude of the parent's acceleration = a₁ = 0.625 m/s²

These are two different expressions for the moment of the force about point A, depending on the chosen position vectors. The specific values of x, y, z, x_a, y_a, and z_a will determine the exact values of the moment components.To determine the moment of the force about point A, we need to consider the position vectors from point A to the point of application of the force. Let's denote the position vector as r.

Method 1:

Let's assume point A is the origin (0,0,0) in a Cartesian coordinate system. Suppose the position vector from A to the point of application of the force is r = (x, y, z), where x, y, and z represent the coordinates of the point.

The moment of the force about point A is given by the cross product of the position vector and the force vector:

Moment = r x F

In this case, the force vector F is 140 N in magnitude and is directed along a particular direction, let's assume it is in the positive x-direction.

So, Moment = (x, y, z) x (140 N, 0, 0) = (0, 140z, -140y)

Method 2:

Alternatively, let's assume point A has coordinates (x_a, y_a, z_a), and the position vector from A to the point of application of the force is r = (x, y, z).

In this case, the moment of the force about point A is given by:

Moment = r x F

The force vector F is still 140 N in magnitude and directed along a particular direction.

So, Moment = (x - x_a, y - y_a, z - z_a) x (140 N, 0, 0) = (0, 140(z - z_a), -140(y - y_a))

These are two different expressions for the moment of the force about point A, depending on the chosen position vectors. The specific values of x, y, z, x_a, y_a, and z_a will determine the exact values of the moment components.

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