If a 68 Ω, 33 Ω, 100 Ω and 47 Ω resistor are connected in series across a 9 V battery, how much current will be flowing?

The kind of spring should be held constant so as to improve the validity of the experiment.

Hooke's law states that the force that acts on a spring is directly proportional to the extension of the spring as long as the elastic limit is not exceeded.

As such, we can now understand that we can only be able to talk about the Hooke's law if there is no way in which the material has passed the elastic limit of the material. In this case, we are told that the students just embarked on a kind of experiment and they want to be able to verify the validity of the Hooke's law.

We saw that the masses that were hanged were increased but the springs were also changed. This would not allow us to determine the force constant and the Hooke's law accurately.

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Rita's momentum  is 294 kg.m/s.

The product of a particle's mass and velocity is called momentum. Being a vector quantity, momentum possesses both magnitude and direction. According to Isaac Newton's second equation of motion, the force applied on a particle is equal to the time rate of change of momentum.

Given that Rita is riding a 7.0 kilogram bike at a velocity of 15 meters/second.

Mass of Rita = 42 kg.

Hence, her momentum is = mass × velocity

= 7.0 × 42 kg.m/s

= 294 kg.m/s.

Her momentum  is 294 kg.m/s.

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False. The greatest number of galaxies do not belong to the type known as elliptical galaxies. In fact, the most common type of galaxy in the universe is the spiral galaxy.

Spiral galaxies are characterized by their distinctive spiral arms, which contain young stars, gas, and dust. These galaxies have a central bulge and a rotating disk. Examples of spiral galaxies include our own Milky Way galaxy and the Andromeda galaxy.

Elliptical galaxies, on the other hand, have a more rounded or elliptical shape and lack the prominent spiral arms. They are often reddish in color and have older populations of stars. Elliptical galaxies are typically found in galaxy clusters and are thought to have formed through galaxy mergers and interactions.

While elliptical galaxies are still abundant in the universe, they are not the most numerous type. Studies and observations have shown that spiral galaxies outnumber elliptical galaxies by a significant margin. This is supported by surveys and statistical analyses of large samples of galaxies in different regions of the universe.

The distribution and abundance of galaxy types can provide valuable insights into the formation and evolution of galaxies over cosmic time. Understanding the prevalence of different galaxy types helps astronomers piece together the story of how galaxies form, grow, and interact with their environments.

In conclusion, the statement that the greatest number of galaxies belong to the type known as elliptical galaxies is false. The most common type of galaxy in the universe is the spiral galaxy.

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The pressure is 0.00038 Pa/m, and the power lost to friction per meter of pipe is approximately \(2.28 * 10^-7 W/m.\)

To determine the pressure drop per meter of pipe and the power lost to friction, we need to calculate the friction factor using the Moody chart and the Darcy-Weisbach equation. The Darcy-Weisbach equation is:

ΔP = \(f * L * (v^2) / (2 * g * d)\)

where ΔP is the pressure drop per meter of pipe, f is the friction factor, L is the length of pipe, v is the velocity of the water, g is acceleration that occurs because of gravity and d is pipe's diameter.

We can use the Moody chart to find the friction factor, f, based on the Reynolds number, which is a measure of the fluid flow regime. For a smooth plastic pipe, the Reynolds number can be calculated as:

Re = (v * d) / ν

where ν is the kinematic viscosity of the water, which is approximately \(0.000001 m^2/s\) at 20°C.

Once we have the Reynolds number, we can find the friction factor from the Moody chart. For a Reynolds number of approximately 2200, the friction factor for a smooth plastic pipe is approximately 0.022.

Plugging the values into the Darcy-Weisbach equation, we find that the pressure drop per meter of pipe is:

ΔP = \((0.022) * (1 m) * (0.09 m/s)^2 / (2 * 9.8 m/s^2 * 0.2 m)\) = 0.00038 Pa/m

To calculate the power lost to friction, we can use the equation:

P = ΔP * Q

where P is the power lost to friction and Q is the flow rate, which can be calculated as:

Q = A * v = \((pi/4) * d^2 * v = (pi/4) * (0.2 m)^2 * (0.09 m/s)\)= \(0.0006 m^3/s\)

Plugging the values into the power equation, we find that:

P = ΔP * Q = (0.00038 Pa/m) * (0.0006 \(m^3/s\)) = \(2.28 * 10^-7 W/m\)

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In cartesian coordinates, we can write the position vectors as-

a) → r = 12.4 m , θ = 170°    ↔     - 12.21 i + 2.15 j

b) → r = 4 cm , θ = 50°   ↔    2.57 i + 3.06 j

c) → r = 20 inches , θ = 210°   ↔    - 17.32 i - 10 j

It is two-dimensional coordinate system which uses a straight line distance (from a reference point) and the angle made by it (with respect to reference direction) to represent a point in the X-Y plane.

Given are the position vectors in polar coordinates of three points in X-Y coordinate system.

The transformation from polar coordinates (r, θ) into cartesian coordinates (x, y) is done using the following formulae -

x = r cosθ

y = r sinθ

a) → r = 12.4 m , θ = 170°

x = 12.4 x cos (170°) = 12.4 x -0.98480775301 = -12 .21

y = 12.4 x sin (170°) = 12.4 x 0.17364817766 = 2.15

In cartesian form → ( -12.21 i + 2.15 j )

b) → r = 4 cm , θ = 50°

x = 4 x cos (50°) = 4 x 0.64278760968 = 2.57

y = 4 x sin (170°) = 4 x 0.76604444311 = 3.06

In cartesian form → ( 2.57 i + 3.06 j )

c) → r = 20 inches , θ = 210°

x = 20 x cos (210°) = 20 x -0.86602540378 = -17.32

y = 20 x sin (210°) = 20 x -0.5= -10

In cartesian form → ( -17.32 i - 10 j )

Therefore, in cartesian coordinates, we can write the position vectors as -

a) → r = 12.4 m , θ = 170°    ↔     - 12.21 i + 2.15 j

b) → r = 4 cm , θ = 50°   ↔    2.57 i + 3.06 j

c) → r = 20 inches , θ = 210°   ↔    - 17.32 i - 10 j

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Answer:

ρ (density) = M / V         mass / unit volume

ρ = 10 g / 5 cm^3 = 2 g/cm^3        density of the metal

Normal (N) and gravity force (W)

assume g = 10 m/s²

a. N = W = m₁.g = 3 x 10 = 10 N

b. W = m₂.g = 1.5 x 10 = 15 N

c. N = (m₁+m₂)g = 4.5 x 10 = 45 N

Answer:

1c 2a 3b  

Explanation:

Answer:

Andrew's dog's speed was 1.89 m/s

Explanation:

Motion at Constant Speed

An object is said to travel at constant speed if the ratio of the distance traveled by the time taken is constant.

This can be written as the formula below:

\(\displaystyle v=\frac{d}{t}\)

Where  

v = Speed of the object

d = Distance traveled

t = Time taken to travel d.

Andrew's dog run a distance of d=17 meters in a time of t=9 seconds, thus its speed was;

\(\displaystyle v=\frac{17}{9}\)

v = 1.89 m/s

Andrew's dog's speed was 1.89 m/s

The 1s peaks for lithium and beryllium different explained by coulumb's law as follow:

According to Coulomb's law, the atomic number and electron configuration of an element determine the strength of attraction or repulsion between electrons and the nucleus.

The 1s peaks for lithium and beryllium are different because they have different atomic numbers and electron configurations.

The 1s peak for lithium is less than that for beryllium because lithium has a lower atomic number and electron configuration than beryllium. The 1s peak for beryllium is greater because beryllium has a higher atomic number and electron configuration than lithium.

Beryllium is more massive than lithium, meaning that its nucleus has a greater positive charge. As a result, the 1s electron of beryllium is more tightly bound to the nucleus than that of lithium. This difference in electron configuration results in a difference in the intensity of the 1s peak for the two elements, with beryllium having a greater 1s peak than lithium.

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The volume of any rectangular solid, including a cube, is calculated mathematically as V = l × w × h

In a given calculation, if you are given the:

To find this, you would have to use the area of its base which is:

Length * Width * Height.

Furthermore, if the cross-section is parallel, then you would have to solve it thus:

Length * Width which is the area of the section from top to bottom.

Although your question is incomplete, the general idea of how to find the cross-sectional area of the volume of any rectangular solid.

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Answer:

Explanation:(a) What is her weight on earth? (b) What are her mass and her weight on the moon, where g = 1.62 ms–2? Solution: (a) On earth. W = m g = 55.0 x 9.8 = 539 N. (b) On moon, her mass remains the same, but the acceleration due to gravity

If the elements in two arrays are related by their subscripts, the arrays are called : d. parallel

A collection of parallel arrays, commonly referred to as a structure of arrays (SoA), is a type of implicit data structure used in computing to represent a single array of records using many arrays. Each field of the record is maintained as a distinct, homogenous data array with an equal amount of items.

In parallel arrays, a collection of data is represented by two or more arrays, where each corresponding array index represents a field that matches a particular record. The array items at names[2] and ages[2] would describe the name and age of the third individual, for instance, if there were two arrays, one for names and the other for ages. The elements in two arrays are related by their subscripts.

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Answer:

hmmmmm

Explanation:

I am gonna say D.

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In order to calculate the potential energy of an object, we can use the formula below:

Where PE is the potential energy (in Joules), m is the mass (in kg), g is the gravity acceleration (in m/s²) and h is the height (in meters).

Since mass times gravity is equal to the weight force, we can also write the formula as follows:

Where W is the weight force (in Newtons).

So the formula will be:

Potential Energy = Weight x Height

Since the height is equal to 1.5 meters and the weight force is equal to 5 N, we have:

The potential energy is 7.5 Joules.

Answer:

What is NUCLEAR POWER?

➡️ is the use of nuclear reactions to produce electricity.

➡️ it can be obtained from nuclear fission, nuclear decay and nuclear fusion reactions.

Hope it helps

Answer:

40 m

Explanation:

The area under v-t graph gives the distance travelled by the particle.

Distance = area of ΔOBC + area of ΔCDE + area of ΔEFG

\(=\dfrac{1}{2}\times 4\times 10+\dfrac{1}{2}\times 2\times 10+\dfrac{1}{2}\times 4\times 5\\\\=40\ m\)

So, the distance travelled by the particle in the time interval t = 0 and t= 10 s is equal to 40 m.

Option C is correct. The center of gravity of a homogeneous body is the point at which the weight of the body can be assumed to be concentrated.

The focal point of gravity of a homogeneous body is the place where the whole weight of the body can be thought to be concentrated. A homogeneous body is one in which the thickness is uniform all through its volume.

The focal point of gravity is the place where the body will adjust when suspended starting there. It is additionally the place where the gravitational power following up on the body can be considered to act.

On account of a strong body, the focal point of gravity is commonly situated at the mathematical focus of the body. For unpredictably molded bodies, the focal point of gravity can be resolved utilizing numerical estimations that consider the conveyance of mass all through the body. The focal point of gravity is a significant idea in material science and is utilized in numerous applications, including the plan of designs and vehicles.

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As the height of the hole increases, the velocity of the stream increases, results in a higher distance from the beaker. Therefore, the distance of the stream from the hole Y will be less than that from X thus, less than 5 cm is correct.

The speed of stream can be determined using the height and acceleration due to gravity g. We can use the equation for velocity using the parameters g and h.

v = √2gh

Therefore, as the height h increases, v increases.

Similarly the distance s = vt

therefore, the distance increases with v.

Here, the hole x is above the hole Y. Then the stream from X will have the greater speed and it covers greater distance (5 cm )from the beaker. Stream from Y slow compared to that in X hence covers a distance less than 5 cm. Hence, option 2 is correct.

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The chi-square test assumes that the variables being analyzed are measured at a nominal or ordinal level of measurement.

In statistics, the level of measurement refers to the nature and properties of the data being collected. There are four levels of measurement: nominal, ordinal, interval, and ratio. Nominal and ordinal levels are considered categorical, while interval and ratio levels are considered numerical. The chi-square test is specifically designed for analyzing categorical data, where the observations can be classified into distinct categories or groups. It is used to determine whether there is a significant association or relationship between two categorical variables.

The test calculates the difference between the observed frequencies and the expected frequencies under the assumption of independence between the variables. It compares the observed and expected frequencies using a chi-square statistic and determines the p-value to assess the statistical significance of the association. Therefore, the chi-square test assumes that the variables being analyzed are measured at a nominal or ordinal level because it deals with categorical data and evaluates the relationship between different categories or groups.

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The gravitational force on the object of masses 3.1×10²³ kg and  7.3×10⁵ kg respectively is 8.16×10⁻³ N.

Gravitational force is the most prevalent force in the universe, pulling together on any two objects with mass in the universe.

To calculate the magnitude of the gravitational force, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the gravitational force is 8.16×10⁻³ N.

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Answer:

Accuracy is how far off a measurement is from its true value. A measured value that's far from a true value is inaccurate, while a measure that is close to a true value is accurate.

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The person's complete trip was a 6km round trip because they traveled 3km north and then 3km south, returning to their original location.

A trip is a journey or excursion to some destination, usually for a specific purpose. It can be as short as a day trip or as long as a round-the-world adventure. A trip typically involves travel by foot, car, railroad, boat, or airplane and often involves multiple destinations. It may also involve activities such as camping, hiking, sightseeing, and other leisure activities. Travelers usually plan trips in advance to ensure they have enough time to see and do the things they want to. Trips can also be spontaneous, with travelers deciding on the fly where to go and what to do.

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Given

Rate of metabolic rate,

Mass of water,

The initial temperature,

Explanation

The heat transferred in 43 minutes is given by

Conclusion

The temperature increase to 28.099 degC

Answer:

Its speed would be increasing.

Explanation:

A. Your friend will see fainter Objects.

B. The amount of light collected by the 40" telescope that can see fainter objects is 15.99 times greater than the amount of light collected by the 10" telescope.

A. If you are using a 10" telescope and your friend is using a 40" telescope, your friend will see fainter objects as the amount of light collected by a telescope depends on the area of its lens or mirror, which increases as the radius or diameter of the telescope increases. Therefore, the larger the telescope, the greater the amount of light it can collect, making it easier to observe fainter objects.

B. To find out how many times greater the amount of light collected by the telescope that can see fainter objects is, we need to calculate the ratio of the area of the 40" telescope to the area of the 10" telescope.

Area of a circle = πr², where r is the radius of the circle.

Area of the 10" telescope = π(10/2)² = 78.5 square inches

Area of the 40" telescope = π(40/2)² = 1256.6 square inches

Ratio of areas = (1256.6 square inches) / (78.5 square inches) = 15.99

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8n downwards

since downwards force is greater than upwards just minus