compute the downward acceleration of a falling wheel of the same shape and size as the one in the laboratory, but made of a different material which is three times as heavy.

The answer is 60. Second is 120.

Two vinyl balloons with an identical charge are given a separation distance of 52 cm. The balloons experience a repulsive force of 2.74x10³ N. then  magnitude of charge on each one of the balloons is

According to the law, the strength of the electrostatic force of attraction or repulsion between two point charges is inversely proportional to the square of the distance between them and directly proportional to the product of the magnitudes of the charges. Coulomb investigated the repellent force between things with identical electrical charges:

Given,

F = 2.74x10³ N.

r = 52 × 10 ⁻² m

Coulomb's law is given by,

F = q₁q₂ ÷ 4π∈r²

2.74x10³ N = q₁q₂ ÷ 4π 8.85×10⁻¹² × (52 × 10 ⁻²)²

2.74x10³ N = q₁q₂ ÷ 3 × 10⁻¹¹

q₁q₂ = 2.74x10³ ×  3 × 10⁻¹¹

q² = 8.2 × 10⁻⁸

q = 2.8 × 10⁻⁴ C

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Dynamic disks should not be used in a failover cluster. This is because dynamic disks have a lower compatibility level compared to basic disks. A failover cluster utilizes the shared storage of a group of basic disks to run and exchange the workloads on each node, which is why dynamic disks should not be used in a failover cluster.

Additionally, there are other reasons why dynamic disks are not recommended for failover clusters such as:

- Dynamic disks use a metadata partition that is stored on the disk, which can cause inconsistencies and corruption in the event of a disk failure. Basic disks, on the other hand, have a backup copy of the partition table stored on each disk.
- Dynamic disks require disk signature updates to be replicated across the cluster which can cause delays in the cluster failover process. Basic disks do not require such updates.

Therefore, basic disks are recommended for use in a failover cluster as they offer better compatibility, reliability, and overall performance.

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The surface of the space station must move at a speed of 2.04 m/s for the astronaut to experience a push on his feet equal to his weight on earth.

The speed of the surface of the space station must be equal to the centripetal acceleration of gravity in order for the astronaut to experience a push on his feet equal to his weight on Earth.

The centripetal acceleration of gravity (gc) is calculated by the formula gc = 4π²r/T², where r is the radius and T is the time period of a complete revolution. In this case, we are given a radius of 1700m. In order to calculate the time period (T) of a complete revolution, we need to know the orbital velocity of the space station.

Assuming a circular orbit, the orbital velocity of the space station is given by the formula v = √GM/r, where G is the universal gravitational constant (6.67×10-11 m3 kg-1 s-2) and M is the mass of the object the station is orbiting (i.e. Earth). Given that we have a circular orbit and all the relevant constants, we can now calculate the time period of a complete revolution (T) with the formula T = 2π√(r3/GM).

Therefore, the speed of the surface of the space station must be equal to the centripetal acceleration of gravity, which is given by the formula gc = 4π²r/T² = (4π²)(1700m)/[2π√(r3/GM)]2 = 2.04 m/s.

This means that the surface of the space station must move at a speed of 2.04 m/s in order for the astronaut to experience a push on his feet equal to his weight on Earth.

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The typical time for an air mass to pass over an area is a few days.

The amount of time it takes for an air mass to pass over a given area varies depending on the size and speed of the air mass.

On average, it takes a few days for an air mass to pass over a region.

However, some air masses can move more quickly or slowly, causing them to take less or more time to move through an area.

Factors such as temperature, humidity, and pressure can also affect the movement of air masses.

Overall, understanding the movement and behavior of air masses is crucial for predicting weather patterns and developing effective climate models.

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Answer:

a skydiver falling at terminal (constant) velocity

Explanation:

The value of force is 1.7 × 10⁻³ N, with the direction opposite to that of the bat's motion.

When an object collides with another object, they exchange energy. For example, a baseball and bat collision or a car collision. When two objects collide, the force of the collision has to be equal on both sides of the collision according to Newton's Third Law. So, to find the value of force, we will apply the equation:

F = ΔP / ΔT

where F is the force, ΔP is the change in momentum, and ΔT is the time of collision. The equation represents the impulse momentum theorem.

Now, let's apply the given values to the above equation.

Final momentum (p2) = mass × final velocity (v2)

p2 = 0.15 kg × (-50 m/s)

p2 = -7.5 kg.m/s

Initial momentum (p1) = mass × initial velocity (v1)

p1 = 0.15 kg × (40 m/s)

p1 = 6 kg.m/s

Change in momentum (ΔP) = p2 - p1

ΔP = -7.5 kg.m/s - 6 kg.m/s

ΔP = -13.5 kg.m/s

Time of collision (ΔT) = 8.0 × 10³ s

Now, putting the values of ΔP and ΔT in the equation of impulse momentum theorem, we get:

F = ΔP / ΔT

F = -13.5 kg.m/s ÷ 8.0 × 10³ s

F = -1.7 × 10⁻³ N

Thus, the value of force is 1.7 × 10⁻³ N, with the direction opposite to that of the bat's motion.

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The average acceleration of the egg while falling can be calculated using the equation a = (v - u)/t, where v is the final velocity, u is the initial velocity and t is time.

a) A = (11.0 m/s) / (1.12 s) = 9.82 m/s^2

b) A = (0 m/s) / (0.131 s) = 0 m/s^2

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The relative velocity between the two cars is 18 km/hr. Relative velocity refers to the velocity of an object or observer in relation to another object or reference frame.

To find the relative velocity between two objects, we need to consider their velocities relative to a common reference frame.

In this case, we have two cars traveling in opposite directions. Let's assume that one car is traveling at 90 km/hr and the other car is traveling at 72 km/hr.

Since the cars are traveling in opposite directions, we can subtract their velocities to find the relative velocity:

Relative velocity = Velocity of Car A - Velocity of Car B

Relative velocity = 90 km/hr - 72 km/hr

Relative velocity = 18 km/hr

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Answer:

Explanation:

At the top of 520 m high mountain , the train will lose potential energy due to loss of height from 990 m to 520 m and gain kinetic energy .

Loss of height = 990 - 520 = 470 m

Loss of potential energy = m x g x 470 where m is mass of the train .

Gain of kinetic energy = 1/2 m v² where v is velocity of train at the top of 550 m high mountain .

1/2 m v² = m x g x 470

v² = 2 x 9.8 x 470

v = 95.98 m /s

The correct answer to the question is the magnitude and direction of the electric field is 40 upward. We know that the force acting on the charge is given by F = qE where, F = Force acting on charge, q = magnitude of charge, E = Electric field strength.

Also, we have F = ma where, a = acceleration of charge. Combining both, we get qE = ma

This can be rewritten as E = ma/q, where m is the mass of the particle. The given charge of 0.05 C moves a negative charge upward due to a 2 N force exerted by an electric field.

The acceleration of the charge can be calculated by a = F/m = 2/0.05 = 40m/s²

The direction of the force is upwards.

Therefore, the magnitude and direction of the electric field are 40 upward.

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The magnification of the object placed 6.4 cm in front of a concave mirror with a focal length of 9.9 cm is -0.62. To solve for the magnification, we can use the formula M = -di/do where M is the magnification, di is the image distance, and do is the object distance.

First, we need to find the image distance by using the mirror equation, which is 1/f = 1/do + 1/di where f is the focal length of the mirror. Rearranging the equation, we get di = 1/(1/f - 1/do). Plugging in the values, we get di = -4.14 cm. Next, we can use the magnification formula to solve for M. M = -di/do = -(-4.14 cm)/(6.4 cm) = -0.62. The negative sign indicates that the image is inverted compared to the object. Therefore, the magnification of the object placed 6.4 cm in front of a concave mirror with a focal length of 9.9 cm is -0.62.

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By the law of universal gravitation, the gravitational force F between the satellite (mass m) and planet (mass M) is

F = G M m / R ²

where

• G = 6.67 × 10⁻¹¹ m³/(kg•s²) is the universal gravitation constant

• R = 2500 km + 5000 km = 7500 km is the distance between the satellite and the center of the planet

Solve for M :

M = F R ² / (G m)

M = ((3 × 10⁴ N) (75 × 10⁵ m)²) / (G (6 × 10³ kg))

M ≈ 2.8 × 10¹⁴ kg

Answer:

c

Explanation:

diluted means weakened

Another term for weak solutions is dilute solution. Thus, the correct option for this question is C.

A weak solution may be defined as a type of solution that significantly partially dissociates into its ions in an aqueous solution or water. In contrast, a strong solution fully dissociates into its ions in water.

The concentration of the weak solution is found to be lower as compared to the strong solution. The word dilute also symbolizes the presence of less concentration in any solution.  

The main difference between weak and strong solutions is true that for strong solutions we are given a Brownian motion on a given probability space whereas for weak solutions we are free to choose the Brownian motion and the probability space.

Therefore, another term for weak solutions is dilute solution. Thus, the correct option for this question is C.

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A) The yearly cost to keep a 75-watt bulb burning day and night would be approximately $132.00.

B) The yearly cost of operating your refrigerator, assuming it uses 300 watts and runs 8 hours a day, would be around $87.36.

The yearly cost to keep a 75-watt bulb burning day and night can be calculated by multiplying the power consumption of the bulb in kilowatts (0.075 kW) by the cost of electric power per kilowatt-hour (12.0 cents/kWh) and the number of hours in a year (8,760 hours). The calculation is as follows: 0.075 kW * 12.0 cents/kWh * 8,760 hours = $87.36. This result is rounded to two significant figures.

Similarly, to determine the yearly cost of operating a refrigerator, we need to know its power consumption while running and the daily operating hours. In this case, if the refrigerator uses 300 watts (0.3 kW) and runs for 8 hours a day, we can apply the same calculation: 0.3 kW * 12.0 cents/kWh * 8 hours * 365 days = $87.36.

Understanding these calculations allows individuals to estimate their electricity expenses accurately. By considering the power consumption and duration of usage for various appliances, one can make informed decisions to manage energy consumption effectively and control costs.

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A scientific theory is a well-substantiated explanation of some aspect of the natural world that is acquired through the scientific method and repeatedly tested and confirmed through observation and experimentation.

"The percentage of the population living in extreme poverty goes down." Therefore, option (D) is correct.

Migration from rural areas to cities can have a positive impact on poverty reduction. Urban areas often offer better access to job opportunities, education, healthcare, and social services, which can help individuals and families improve their living conditions.

As people migrate to cities and gain access to these resources, the percentage of the population living in extreme poverty tends to decrease.

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The rotational inertia of the wheel is 1.344 × 10⁻⁴ kgm²

Rotational inertia of an object is the measure of the ability for the object to rotate about an axis which may or may not pass thorugh the object.

Since in one type of wagon wheel consists of a 2.0-kg hoop fitted with four 0.80-kg thin rods placed along diameters of the hoop so as to make eight evenly spaced spokes and for a hoop of radius 0.40 mm, we need to find the rotational inertia of the wheel about an axis perpendicular to the plane of the wheel and through the center?

The rotational inertia of the wheel is given by I = I₁ + I₂ where I₁ = rotational inertia of hoop = and I₂ = rotational inertia of thin rods

Now the rotational inertia of the hoop is, I₁ = m₁r² where

Also, the rotational inertia of each thin rod is I₃ = m₂L²/2 where

Since there are four thin rods, I₂ = 4I₃

= 4m₂L²/2

= 2m₂L²

= 2m₂(2r)²

= 2m₂(4)r²

= 8m₂r²

So, I = I₁ + I₂

I = m₁r² + 8m₂r²

I = (m₁ + 8m₂)r²

So, substituting the values of the variables into the equation, we have

I = (m₁ + 8m₂)r²

I = (2.0 kg + 8 × 0.80 kg)(0.004 m)²

I = (2.0 kg + 6.4 kg)(0.000004 m²)

I = (8.4 kg)(0.000016 m²)

I = 0.0001344 kgm²

I = 1.344 × 10⁻⁴ kgm²

The rotational inertia of the wheel is 1.344 × 10⁻⁴ kgm²

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1/4 of the old gravity influence would remain.

Newton's universal principle of gravitation states that the attracting force among any two components is equal to the square of the length that separates them and equal to the ratio of their masses.

Gravitational pull is the term for something like the pressure which the planet exerts upon the object. Illustrations of movement caused by gravitational influence include the downward force of flow of water, the downward movement liquid flowing water, and the upward motion of a ball when it is tossed. Every two mass-containing items are attracted to one another by the gravitational force.

Since the force of gravity rarely aims to push masses apart, it is referred to as appealing since it constantly seeks to draw them towards.

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A phase change occurs when a substance changes from one state of matter to another.

A scene in which at least two phase changes take place is when ice is converted to vapor.

To convert ice to vapor, we need to supply energy to the ice in form of heat. The molecules in the ice begin to move faster as they acquire more energy and eventually the lattice falls apart and ice is converted to liquid.

As more energy is supplied, the molecules acquire even greater energy and move at higher speeds, all the intermolecular bonds between the molecules are severed as the liquid turns into vapor.

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  The density of the sample is 3.15 kg/m^3 by using the principles of buoyancy and Archimedes' principle.

  Find the volume of the sample:

  The buoyant force on the sample = Weight of the sample - Tension in the string when it's immersed in water.

Buoyant force on the sample = 61.7 N - 36.5 N = 25.2 N

  Let V be the volume of the sample and ρ be the density of the sample.

Weight of the sample = V * ρ * g

61.7 N = V * ρ * 9.8 m/s^2

V * ρ = 6.306 m^3/kg

  The volume of the sample that is submerged in water is the same as the volume of water that is displaced:

  V_water = V_submerged = V * 2/3

  The buoyant force on the sample is equal to the weight of the water that is displaced:

The buoyant force on the sample = Weight of the displaced water

25.2 N = V_water * ρ_water * g

25.2 N = (2/3)V * ρ_water * g

ρ_water = 1200 kg/m^3

  Now we can use the density of the sample calculated earlier to find its value in kg/m^3:

V * ρ = 6.306 m^3/kg

ρ = 6.306/V

  If we substitute V = V_submerged * 3/2, we get:

ρ = 4.204/V_submerged

  Substituting V_submerged = V * 2/3, we get:

ρ = 6.306/(V * 2/3) * 3/2

ρ = 3.15 kg/m^3

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Answer:

 local stresses may exceed the limits of the glass

Explanation:

When hot water is applied locally to a portion of a glass vessel, it causes the immediate area to expand. That expansion stresses the region around the expanding area. The stresses may exceed the limit the glass can tolerate, so cause the glass to crack.

__

This was brought home rather dramatically when a strong stream of cold water was run into a glass container full of hot water. The bottom contracted and literally fell out.

The angle A using the appropriate sine or cosine law is 43.29 degrees.

To find angle A, we can use the cosine law, which states that $a^2 = b^2 + c^2 - 2bc \cos{A}$. We have $b=5.3$, $c=7$, and $a=8.2$, so we can plug in and solve for $\cos{A}$:$$8.2^2 = 5.3^2 + 7^2 - 2(5.3)(7) \cos{A}$$$$\cos{A} = \frac{8.2^2 - 5.3^2 - 7^2}{-2(5.3)(7)} = 0.509$$$$A = \cos^{-1}{(0.509)} \approx 43.29^\circ$$The length of side x using the appropriate sine X is 61.32 units.

We can use the sine law, which states that $\frac{a}{\sin{A}} = \frac{b}{\sin{B}} = \frac{c}{\sin{C}}$. We know that $A=101^\circ$ and $a=x$, so we can use the ratio $\frac{a}{\sin{A}}$ to solve for $x$:$$\frac{x}{\sin{101}} = \frac{c}{\sin{38}}$$$$x = \sin{101} \cdot \frac{c}{\sin{38}} \approx 61.32$$Therefore, the length of side x is approximately 61.32 units.

In geometry, the Cosine Decide says that the square of the length of any side of a given triangle is equivalent to the amount of the squares of the length of different sides short two times the result of the other different sides duplicated by the cosine of point included between them.

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Answer:

Acceleration

Explanation:

Its speed or velocity change

Explanation:

Some Uses of Electromagnetic waves :

(A) Microwaves

(B) X - Rays (produced by slowing fast moving electrons)

(C) Radio Waves

In this case, the force required to lift the object is equal to its weight, which is the product of its mass and the acceleration due to gravity is approximately 3,585.6 joules.

The work done on an object is given by the equation:

work = force × distance.

In this case, the force required to lift the object is equal to its weight, which can be calculated using the formula:

weight = mass × acceleration due to gravity.

The mass of the object is given as 68 kg, and the acceleration due to gravity is approximately 9.8 m/s².

Therefore, the weight of the object is

(68 kg) × (9.8 m/s²)

= 666.4 newtons.

Now, we can calculate the work done by multiplying the force (weight) by the distance lifted. The distance lifted is given as 5.3 m.

Therefore, the work done is

(666.4 N) × (5.3 m)

= 3,585.6 joules.

Hence, approximately 3,585.6 joules of work needs to be done to lift the 68 kg object by 5.3 m.

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Answer : The correct degree of precision is 272.94 g.

Explanation :

Precision : It is defined as the closeness of two or more measurements to each other.

For Example: If you weigh a given substance five times and you get 2.7 kg each time. Then the measurement is said to be precise.

Level of precision is determined by the maximum number of decimal places.

In the given figure, the value of mass of object is 280 g. From the given options we conclude that the 272.94 g is more close to 280 g and has maximum number of decimal places. So, 272.94 g measurement is said to be precise.

Therefore, the correct degree of precision is 272.94 g.

Answer:

The theory of plate tectonics proposes that the Earth's outer layer, or lithosphere, is broken up into a number of large plates that interact with one another. These plates are slowly moving across the Earth's surface, driven by convection currents in the mantle below.

The mantle is the layer of the Earth that lies beneath the crust, and it is made up of hot and viscous rock. At certain depths, the mantle rock can become partially molten, and this creates convection currents. These currents are driven by the heat difference between the deeper, hotter parts of the mantle and the cooler, shallower regions.

As these convection currents move, they push against the base of the lithosphere, which is divided into several plates. The interaction between these plates creates a variety of geological features, including mountain ranges, volcanoes, and earthquakes.

The movement of the plates is hardly noticeable in human terms, with rates of movement averaging to just a few centimeters per year. However, over millions of years, these small movements can add up, leading to significant changes in the Earth's geography and climate. For example, the collision of two plates can result in the formation of a mountain range, while the separation of two plates can create a new ocean basin.

Answer:

the average speed in annual work out is 46.5