Using Kirchhoff's laws and Cramer's rule, determine the electric
current flowing at each source in the circuit shown.

Answer:

Statement of the given problem,

A ball is thrown vertically upwards at 19.6 m/s. For its complete trip (up and back down to the starting position), what is its average speed?

Let H & T denote the maximum height (in m) of the given ball & the time (in s) required for it to reach there.

Hence from above data we get following kinematic relations,

T = [19.6 m/s - 0 m/s)]/(9.8 m/s^2) [9.8 m/s^2 = gravitational acceleration (assumed)]

or T = 2 (s)

H = (19.6 m/s)*(2 s) - (1/2)*(9.8 m/s^2)*(2 s)^2

or H = 19.6 (m)

Therefore,

assuming vertically upward & downward motions are identical with respect to time & distance covered by the given ball,

the required average speed of the ball during its travel up and back down to the starting position

= (total travel-distance)/(total travel-time)

= 2*(19.6 m)/[2*(2 s)]

= 9.8 m/s [Ans]

Answer:

D i think

Explanation:

The final momentum of the volleyball is  0.5 kg · m/s .

We have to consider the Second law that was put forward by Isaac Newton. According to the law, the rate of change of the momentum would be directly proportional to the impressed force.

We would now have  momentum   to make use of the law as we know it to be able to obtain the final  of the object. Let us bear in mind that;

Ft = p2 - p1

F = force

t = time

p2 = final momentum

p1 = initial momentum

Then we would  now substitute the values from what we have in the question and have;

150 * 0.01 = p2 - (-1)

150 * 0.01 = p2 + 1

1.5 =  p2 + 1

p2 = 1.5 -1

p2 = 0.5 kg · m/s

Thus the final momentum as we have done the calculation here is  0.5 kg · m/s .

Learn more about momentum:https://brainly.com/question/24030570

#SPJ1

Missing parts;

A volleyball that has an initial momentum of -1.0 ⋅ kg⋅m/s changes direction after a hand hits it with a force of 150 N for 0.01 seconds. What is the final momentum of the object in the figure shown below?

Answer: 41.9 below the negative x-axis.

Explanation: To find the direction of the resultant vector, we need to use some trigonometry and vector addition. Here are the steps:

Draw a diagram of the particle’s motion and label the vectors. The particle starts at the origin and moves 7.22 cm in the negative y-direction, which we can call vector A. Then it moves 8.05 cm in the positive x-direction, which we can call vector B. The resultant vector R is the vector that goes from the origin to the final position of the particle.

Find the components of vector A and vector B. Vector A has a magnitude of 7.22cm and a direction of 270 degrees (or -90 degrees) from the positive x-axis. Vector B has a magnitude of 8.05 cm and a direction of 0 degrees (or 360 degrees) from the positive x-axis. Using trigonometry, we can find the x and y components of each vector as follows:

A_x = A cos(270) = 7.22 cos(270) = 0

A_y = A sin(270) = 7.22 sin(270) = -7.22

B_x = B cos(0) = 8.05 cos(0) = 8.05

B_y = B sin(0) = 8.05 sin(0) = 0

Add the components of vector A and vector B to get the components of vector R. Using vector addition, we can find the x and y components of the resultant vector as follows:

R_x = A_x + B_x = 0 + 8.05 = 8.05

R_y = A_y + B_y = -7.22 + 0 = -7.22

Find the magnitude and direction of vector R using Pythagoras’ theorem and inverse tangent function. The magnitude of vector R is given by the square root of the sum of the squares of its components, and the direction of vector R is given by the inverse tangent of its y component divided by its x component, as follows:

R = sqrt(R_x^2 + R_y^2) = sqrt(8.05^2 + (-7.22)^2) = sqrt(114.81) = 10.71 cm

theta = tan^-1(R_y / R_x) = tan^-1(-7.22 / 8.05) = -41.9 degrees

Adjust the direction of vector R according to its quadrant. Since vector R is in the fourth quadrant, where both x and y are positive, we need to add 360 degrees to its direction to get a positive angle measured counterclockwise from the positive x-axis, as follows:

theta = -41.9 + 360 = 318.1 degrees

Alternatively, we can express the direction of vector R as an angle measured clockwise from the negative x-axis, which is equivalent to subtracting its direction from 360 degrees, as follows:

theta = 360 - (-41.9) = 401.9 degrees

However, since angles are periodic with a period of 360 degrees, we can subtract multiples of 360 degrees from this angle to get an equivalent angle between 0 and 360 degrees, as follows:

theta = 401.9 - 360 = 41.9 degrees

Therefore, the direction of vector R is either 318.1 degrees counterclockwise from the positive x-axis or 41.9 degrees clockwise from the negative x-axis.

Hope this helps, and have a great day! =)

The work done to stop the car is -208.33 kJ

From work-kinetic energy principles, the change in kinetic energy of the car ,ΔK equals the work done to stop the car, W.

W = ΔK = 1/2m(v'² - v²) where

Substituting the values of the variables into the equation, we have

W = 1/2m(v'² - v²)

W = 1/2 × 1500 kg(v(0 m/s)² - (16.67 m/s)²)

W = 750 kg(0 (m/s)² - 277.78 (m/s)²)

W = 750 kg(- 277.78 (m/s)²)

W = -208333.33 J

W = -208.33333 kJ

W ≅ -208.33 kJ

So, the work done to stop the car is -208.33 kJ

Learn more about work done here:

https://brainly.com/question/9821607

Answer:

The atomic number of phosphorus is 15.

Explanation:

It’s found after Si(Silicon) and before S(sulphur)

We are given:

Mass of object 1(m₁) = 3000 kg

Mass of object 2(m₂) = 4500 kg

Distance between their centers(r) = 1.5 m

Gravitational Attraction between the objects:

We know the formula:

g = G(m₁)(m₂) / r² ,where G is the universal Gravitational Constant and g is the force of attraction

g = (6.67 * 10⁻¹¹ * 3 * 10³ * 4.5 * 10³) / (1.5)²

g = [(6.67 * 3 * 4.5) * (10³⁺³⁻¹¹)] / 2.25

g = (90 * 10⁻⁵) / 2.25

g = 40 * 10⁻⁵ N

A planes average speed between two cities is 610 km/hr. If the trip takes 2. 25 hrs, then the distance covered by a plane is  1372.5 kilometers.

To calculate the distance the plane flies, we can use the formula:

Distance = Speed × Time

Given that the average speed of the plane is 610 km/hr and the trip takes 2.25 hours, we can substitute these values into the formula to find the distance.

Distance = 610 km/hr × 2.25 hrs

To multiply these values, we need to align the units correctly. By canceling out "hrs" in the numerator and denominator, we get:

Distance = 610 km × 2.25

Multiplying 610 km by 2.25 gives us:

Distance = 1372.5 km

Therefore, the plane flies a distance of 1372.5 kilometers.

For more such information on: speed

https://brainly.com/question/13943409

#SPJ8

Given that a plane's average speed between two cities is 610 km/hr and the trip takes 2.25 hrs. We are to find the distance covered by the plane The plane flies 1372.5 km

Let's find the solution to this problem .The formula for distance, speed and time isd

= s * there,

d = distance covered by the planes

= speed t

= time taken

Substituting the given values, we have610 × 2.25 = 1372.5 km

Hence, the plane flies 1372.5 km.

Given that a plane's average speed between two cities is 610 km/hr and the trip takes 2.25 hrs. We are to find the distance covered by the plane

To know more about speed visit:

https://brainly.com/question/32673092

#SPJ11

Answer:

m = 9.11E-31   mass of electron

M = 1.822E-13     mass of electron and anti-electron

E = M c^2 = 1.822E-31 * (3.00E8)^2 = 1.64E-13 Joules

E = 1.64E-13 J / 1.60E-19 J/EV = 1025 KEV      energy released

(225 + 357) kEV = 582 kEV

E(3d ray) = 1025 - 582 = 443 kEV     energy of 3'd ray

Answer:

.004 Hz

Explanation:

Frequeny is cycles per second. An oscillation is 1 cycle

F=cycles/sec

4/100

=0.004Hz (Hz- Hertz=1 cycle/sec)

There are no immediate substitutes for gasoline as public transportation is often limited and walking, biking, or taking a cab is not always feasible. Therefore, people may continue to purchase gasoline despite an increase in price.

One item that is common in our society that I believe is elastic is fast food. Elasticity is the degree to which changes in price affect demand for a good or service.

Fast food is elastic because it has many substitutes such as restaurants, home-cooked meals, and even other fast-food chains. Fast food is also highly responsive to price changes, which means that a small change in price can cause a large change in demand.

For example, a $1 price increase for a burger meal at a fast-food chain might cause many people to switch to a competitor with a cheaper price. Thus, fast food is an elastic product in our society.One item that is common in our society that I believe is inelastic is gasoline.

Gasoline is an inelastic product because it has few substitutes and people need it for transportation. If the price of gasoline increases, people may continue to purchase it even if it means spending more money because there are few alternative options.

Additionally, there are no immediate substitutes for gasoline as public transportation is often limited and walking, biking, or taking a cab is not always feasible.

Therefore, people may continue to purchase gasoline despite an increase in price.

For example, if the price of gasoline increases by $1, a consumer will still purchase gasoline because they require it to get to work or school. Thus, gasoline is an inelastic product in our society.

to learn more about feasible.

https://brainly.com/question/33507886

#SPJ11

One item in our society that I believe is elastic is the price of gasoline  because of  various alternatives to gasoline and the proportion of income spent. An item in our society that I believe is inelastic is medical treatment because of the necessity of medical treatment and lack of substitutes.

Firstly, the availability of substitutes contributes to the elasticity of gasoline. In our society, there are various alternatives to gasoline, such as electric vehicles or public transportation. When the price of gasoline increases, consumers have the option to switch to these substitutes, reducing their demand for gasoline. Conversely, when the price of gasoline decreases, consumers may choose to drive more or purchase larger vehicles, increasing their demand for gasoline. This flexibility in consumer choices demonstrates the elasticity of gasoline.

Secondly, the proportion of income spent on the product also influences the elasticity of gasoline. For many individuals, the cost of gasoline represents a significant portion of their overall budget. When the price of gasoline rises, consumers may have to make adjustments to their spending habits or seek alternative means of transportation to cope with the higher expenses. Conversely, when the price of gasoline decreases, consumers may have more disposable income to spend on other goods and services. This sensitivity to price changes further supports the elasticity of gasoline.

On the other hand, an item in our society that I believe is inelastic is medical treatment. Two determinants of elasticity that contribute to this belief are the necessity of the product and the lack of substitutes.

Firstly, the necessity of medical treatment makes it an inelastic product. When individuals require medical treatment, they often have no choice but to seek the necessary healthcare services regardless of the price. This is especially true for life-saving procedures or medications. The demand for medical treatment is driven by the urgency and importance of preserving one's health, which leads to a less responsive consumer behavior to price changes.

Secondly, the lack of substitutes also contributes to the inelasticity of medical treatment. In many cases, there are limited alternatives or substitutes available for specific medical treatments. For example, if a person requires a specific surgery or medication to treat a condition, they cannot easily switch to a different treatment option to lower their expenses. The lack of viable substitutes reduces consumer choice and makes the demand for medical treatment less responsive to changes in price.

In summary, the price of gasoline is elastic due to the availability of substitutes and the proportion of income spent on the product. On the other hand, medical treatment is inelastic due to its necessity and the lack of substitutes. These determinants of elasticity highlight the different levels of responsiveness to price changes in these two common items in our society.

Learn more about gasoline from the link:

https://brainly.com/question/29186659

#SPJ11

Answer:

When we burn wood we are releasing solar energy, in the form of heat, that has been stored in the wood as chemical energy. The process of photosynthesis converted solar energy, water and carbon dioxide into oxygen and the organic molecules that form the wood, half the weight of which is carbon.

Explanation:

Answer:

Correct Answer: Option B

Explanation:

Explanation

P1/T1 = P2/T2

80/(273+47) = P1/(273+27) = 75Nm-2

Answer: 75.0 Nm^-2

Explanation:

P1/T1 = P2/T2 80/(273+47) = P1/(273+27) = 75Nm-2

Answer:

D

Explanation:

as you can see D may be the answer because the force is being applied strongly to the right side rather then left and moving at constant speed

Answer:

an inverse relationship

Answer:

T=502.5N

Ax=171.8N

Explanation:

The computation of the tension T in the rope and the forces exerted by the pin at A is shown below:

vertical forces sum = Ay + Tsin20 + T - 245 - 883 = 0

Now  

horizontal forces sum = Ax - Tcos70

Now Moment about B

-Ay × 4.8 + 245 × 2.4 + 883 × 1.8=0

Ay=453.6N

Now substitute in sum of vertical forces T=502.5N

Ax=171.8N

a. The tension (T) in the rope is equal to 502.51 Newton.

b. The forces exerted by the pin at A is equal to 171.86 Newton.

Given the following data:

To calculate the tension (T) in the rope and the forces exerted by the pin at A:

First of all, we would determine the vertical force by taking moment about point B as shown in the diagram.

\(-A_y \times 4.8 + 883 \times 1.8 + 245 \times 2.4 =0\\\\-4.8A_y + 1589.4 + 588 =0\\\\4.8A_y= 3237\\\\A_y=\frac{2177.4}{4.8} \\\\A_y= 453.63 \;Netwon\)

The tension (T) in the rope would be calculated by the sum of the vertical component of forces, which is given by:

\(\sum F_x = A_y + Tsin20 + T - 245 - 883 = 0\\\\453.63 + 0.3420T + T -1128=0\\\\1.3420T = 1128-453.63\\\\1.3420T =674.37\\\\T =\frac{674.37}{1.3420}\)

Tension, T = 502.51 Newton.

To find the forces exerted by the pin at A, we sum the vertical component of forces, which is given by:

\(\sum F_y = A_x - Tcos70 =0\\\\A_x =Tcos70\\\\A_x = 502.51 \times cos70\\\\A_x = 502.51 \times 0.3420\\\\A_x = 171.86\;Newton\)

Read more: https://brainly.com/question/17742679

The three forces acting on the support can be expressed in Cartesian vector form. By finding the resultant force, we can determine its magnitude and direction measured clockwise from the positive x-axis.

To express the forces in Cartesian vector form, we need to break them down into their x and y components. Each force can be represented as a vector with its x-component and y-component. Once we have the vectors for all three forces, we can add them together to find the resultant force.

To determine the magnitude of the resultant force, we calculate the sum of the squares of the x-components and the sum of the squares of the y-components of the individual forces. Taking the square root of the sum of these squares gives us the magnitude of the resultant force.

The direction of the resultant force is measured clockwise from the positive x-axis. We can use trigonometric functions such as arctan or atan2 to calculate the angle between the resultant force vector and the positive x-axis. This angle gives us the direction of the resultant force.

By calculating the magnitude and direction of the resultant force, we can fully describe the net effect of the three forces acting on the support.

Learn more about magnitude here:

brainly.com/question/30395926

#SPJ4

Answer:

74 km

Explanation:

Ler the position of markers be A,B, and C for notation 246 km, 172 km, and 147 km respectively. John's whole journey has been shown in the figure.

As given,his initial position was the point A. At first, he travelled from the point A to C, then he traveled back from the point C to B on the straight path. His final position is at the point B.

The resultant displacement equals to the shortest distance between the final and the initial positions.

So, the magnitude of the resultant displacement is |172-246| km=74 km and the direction is towards point B from point A.

Answer:

1226.25 N

Explanation:

w = mg = 125 (9.81) = 1226.25 N

Answer:

Respect the client’s decision

Explanation:

just took the test

Answer: Respect the client's decision

Explanation: Either way the professional would know not to do anything rash and it is the client's decision whether or not they want to move forward, it would have obviously been a touchy subject if they were that reluctant.

No , frequency of a wave is not distance between waves, it is called wavelength.

Frequency is the number of waves that pass a particular point in a given period of time. It is typically measured in Hertz (Hz), which is the number of waves per second. Wavelength, on the other hand, is the distance between two consecutive crests or troughs of a wave. It is typically measured in meters (m). So frequency and wavelength are related, but they are not the same thing. Frequency is a measure of the number of waves, while wavelength is a measure of the distance between waves.

To know more about wavelength

https://brainly.com/question/13533093

#SPJ4

Force applied is directly proportional to displacement.

It is given by the formula

Here F is the force , k is the spring constant , x is the displacement.

Substituting the values,

The correct signs for the heat and work changes to the beaker and balloon system will be +q, -w.Option d is correct.

An amount of stuff or an area in space that is of relevance is referred to as a thermodynamic system.

The area or mass outside the system is referred to as the surrounds, and the surface dividing the two is referred to as the border.

An open system is one that adjusts to the interchange of information, energy, and/or material between the system and its surroundings. This is a key definition in systems science.

The open type of system would allow light and air to enter and exit.

The correct signs for the heat and work changes to the beaker and balloon system will be +q, -w.Because the heat is added and the compression work is done,

Hence,option d is correct.

To learn more about the thermodynamic system refer;

https://brainly.com/question/20335201

#SPJ1

Answer:

4.81 L

Explanation:

From the question given above, we obtained the following information:

Initial temperature (T₁) = 298 K

Initial Volume (V₁) = 6 L

Final Temperature (T₂) = – 34 °C

Final Volume (V₂) =?

Next, we shall convert – 34 °C to Kelvin temperature. This can be obtained as follow:

T(K) = T(°C) + 273

T(°C) = – 34 °C

T(K) = – 34 + 273

T(K) = 239 K

Thus, –34 °C is equivalent to 239 K

Finally, we shall determine the final volume of the balloon as follow:

Initial temperature (T₁) = 298 K

Initial Volume (V₁) = 6 L

Final Temperature (T₂) = 239 K

Final Volume (V₂) =?

V₁ / T₁ = V₂ / T₂

6 / 298 = V₂ / 239

Cross multiply

298 × V₂ = 6 × 239

298 × V₂ = 1434

Divide both side by 298

V₂ = 1434 / 298

V₂ = 4.81 L

Thus, the volume of the balloon when it was brought outside the store was 4.81 L.

The human capacity for storing long-term memories is A) essentially limitless.

The human capacity for storing long-term memories is generally considered to be essentially limitless. Unlike short-term memory, which has limited capacity and duration, long-term memory has the potential to store an enormous amount of information for extended periods.

Research suggests that the brain has an incredible capacity to form and store memories, and this capacity is not fixed or finite. The exact capacity of long-term memory is difficult to quantify precisely, as it can vary greatly among individuals and is influenced by various factors such as age, cognitive abilities, and expertise in specific domains.

While it is true that short-term memory has a limited capacity, long-term memory has the ability to store a vast amount of information over a lifetime. Studies have shown that individuals can retain an extensive range of memories, including personal experiences, factual knowledge, and learned skills, without any predetermined upper limit on storage capacity.

learn more about Long term memories here:

https://brainly.com/question/16009462

#SPJ4

What is permeability? b. pore spaces that are interconnected to allow the movement of air or water. Permeability is a measure of the ability of a material to allow the flow of fluids through it.

It is a measure of the interconnectedness of the pore spaces in a material. Materials with high permeability allow fluids to flow through them more easily than materials with low permeability.

What is the capillary fringe? b. material above the water table that is moistened by the rise of capillary water against gravity. The capillary fringe is the zone of soil or rock that is saturated with water due to capillary action.

Capillary action is the ability of water to move upwards against gravity through the narrow spaces between soil particles. The capillary fringe is typically a few centimeters thick, but it can be thicker in some soils.

Permeability is a measure of the ability of a material to allow the flow of fluids through it.

The capillary fringe is the zone of soil or rock that is saturated with water due to capillary action.

Permeability is important in a variety of applications, including groundwater recharge, well design, and the construction of dams and levees. The capillary fringe is important for plant growth, as it provides water to plants that are not located directly above the water table.

To learn more about permeability click here: brainly.com/question/32006333

#SPJ11

The expected ratio of free-hanging earlobes to attached earlobes in the offspring is 1:2.

The diagram depicts a Punnett square used to predict the earlobe shape of two parents' offspring. The capital A represents free-hanging earlobes, while the lowercase a represents attached earlobes.

The Punnett square is a square diagram used to predict genotypes of a specific cross or breeding experiment. It is named after Reginald C. Punnett, who invented it in 1905. Biologists use the diagram to calculate the likelihood of an offspring having a specific genotype.

In this case, the genotype rato based on the attached diagram is 1:2.

Learn more about offspring on:

https://brainly.com/question/471576

#SPJ1