Two identical adjacent rooms each have a light bulb operating at a brightness of 300 lumens. The bulb in one of the rooms is now replaced by a bulb with a higher brightness. What is the minimum brightness (in lumens) needed such that a user will notice the increased brightness as compared to the adjacent room (which is still at 300 lumens).
a.) 310
b.) 305
c.) 303.33
d.) 311.3

According to the question the total energy stored in the capacitor when it is fully charged is approximately 3.9645 x 10^(-10) Joules.

To calculate the total energy stored in a capacitor when it is fully charged, we can use the formula:

Energy = (1/2) * (C * V^2)

where Energy is the stored energy, C is the capacitance, and V is the voltage across the capacitor.

First, let's calculate the capacitance of the capacitor with the dielectric material inserted. The capacitance with a dielectric can be found using the formula:

C = (ε * ε0 * A) / d

where C is the capacitance, ε is the dielectric constant, ε0 is the vacuum permittivity (approximately 8.85 x 10^(-12) F/m), A is the area of each plate, and d is the plate separation.

Given that the plate area is 10 cm by 10 cm (or 0.1 m by 0.1 m) and the plate separation is 4.0 mm (or 0.004 m), and the dielectric constant is 2.5, we can calculate the capacitance (C):

C = (2.5 * 8.85 x 10^(-12) F/m * 0.1 m * 0.1 m) / 0.004 m

C = 5.5125 x 10^(-11) F

Now, we can substitute the capacitance value and the voltage (V = 12.0 V) into the energy formula to find the total energy stored:

Energy = (1/2) * (5.5125 x 10^(-11) F * (12.0 V)^2)

Energy ≈ 3.9645 x 10^(-10) J

Therefore, the total energy stored in the capacitor when it is fully charged is approximately 3.9645 x 10^(-10) Joules.

To learn more about voltage

https://brainly.com/question/1176850

#SPJ11

Answer:

The answer is approximately 72mmHg

Explanation:

P1V1=P2V2

800×25=P2×275

P2=800×25/275

P2≈72mmHg

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.

Learn more about motion here :-

https://brainly.com/question/33317467

#SPJ11

Answer: C

emotional meaning

Explanation:

Baroque style in the Baroque period is an ancient way of variety of arts used to produce European uniqueness in many art works such as magnificence in sculpture, painting, architecture, literature, dance, music and drama.

The characteristic of the Baroque period that helped to achieve all these is the extravagant display of emotions and details orientation.

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.

The maximum grade (in percent) is 14%.

Suppose angle be theta.

Power = force * velocity

35*746 = [1300*9.8* sin theta + 410]* (43*1000/3600)

sin theta = (35*746/(43*1000/3600) - 410)/(1300*9.8) = 0.139

grade = tan ( arcsin 0.139 )

= 0.140

= 14%

Drag is a mechanical pressure. it is generated via the interplay and speaks to a stable body with a fluid (liquid or fuel). It is not generated via a force area, within the feel of a gravitational field, or an electromagnetic field, wherein one item can have an effect on some other item without being in physical touch.

For instance drag on a ship moving in water or drag on an aircraft shifting in the air. therefore drag pressure is the resistance pressure resulting from the motion of a body thru a fluid like water or air. This drag force acts opposite to the path of the oncoming float velocity.

Drag is generated via the distinction in speed between the strong item and the fluid. There needs to be motion among the object and the fluid. If there's no movement, there's no drag. It makes no difference whether or not the item moves via a static fluid or whether or not the fluid movements beyond a static stable item.

Learn more about drag force here: https://brainly.com/question/23942493

#SPJ4

The maximum grade (in percent) is 14%.

Suppose angle be theta.

Power = force * velocity

35*746 = [1300*9.8* sin theta + 410]* (43*1000/3600)

sin theta = (35*746/(43*1000/3600) - 410)/(1300*9.8) = 0.139

grade = tan ( arcsin 0.139 )

= 0.140

= 14%

Drag is a mechanical pressure. it is generated via the interplay and speaks to a stable body with a fluid (liquid or fuel). It is not generated via a force area, within the feel of a gravitational field, or an electromagnetic field, wherein one item can have an effect on some other item without being in physical touch.

For instance drag on a ship moving in water or drag on an aircraft shifting in the air. Therefore drag pressure is the resistance pressure resulting from the motion of a body thru a fluid like water or air. This drag force acts opposite to the path of the oncoming float velocity.

Drag is generated via the distinction in speed between the strong item and the fluid. There needs to be a move between the object and the fluid. If there's no movement, there's no drag. It makes no difference whether or not the item moves via a static fluid or whether or not the fluid moves beyond a static stable item.

Learn more about drag force here: brainly.com/question/23942493

#SPJ4

In the process of making pancakes, the three steps that best show that new substances are created are: Steps 3, 4, and 5. The correct option is B.

These steps involve seeing bubbles form as the pancake starts to harden, waiting until the bubbles stop forming, and flipping the pancake so the other side can darken and harden.

During Step 3, the formation of bubbles indicates a chemical reaction taking place, as the heat causes the pancake batter to release carbon dioxide gas. This leads to the creation of a new substance: the cooked pancake. Step 4, waiting for the bubbles to stop forming, further demonstrates the chemical changes occurring as the batter continues to cook and transform.

Lastly, in Step 5, flipping the pancake allows the other side to darken and harden, completing the cooking process and solidifying the new substance: a fully cooked pancake. The correct option is B.

To know more about substances, refer here:

https://brainly.com/question/30667005#

#SPJ11

Electron microscope achieves the greatest resolution and highest magnification.

Instead of using light to see the specimens, electron microscopes employ a stream of accelerated electrons. Compared to light microscopes, electrons are able to obtain a significantly greater resolution due to their shorter wavelength.

Magnifications of up to several million times can be achieved using electron microscopes, significantly above those of conventional light microscopes. Transmission electron microscopes (TEM) and scanning electron microscopes (SEM) are the two primary categories of electron microscopes.

SEMs give precise surface imaging, whereas TEMs are utilized to examine the inside structure of objects. The use of electron microscopes is essential in many scientific fields because they allow for the most in-depth examination of the microscopic details of cells, tissues, nanoparticles, and other tiny structures.

To know more about microscopes visit:

https://brainly.com/question/33605904

The magnitude of the electric field at a point halfway between two point charges can be calculated using the principle of superposition. This principle states that the total electric field at a given point is the vector sum of the electric fields created by each individual charge.

In this case, we have two point charges: -5 c and 4 c, separated by a distance of 21 cm.

To calculate the electric field at this point, we can consider the electric fields created by each charge separately and then add them together.

Step 1: Calculate the electric field created by the -5 c charge.

The electric field created by a point charge can be calculated using the formula:

Electric field (E) = (k * Q) / (r^2)
Where k is the electrostatic constant (approximately 9 x 10^9 Nm^2/C^2), Q is the charge, and r is the distance from the charge to the point where the electric field is being calculated.

For the -5 c charge, the electric field can be calculated as:

E1 = (k * -5) / (0.105^2)
E1 = - k / 0.00441

Step 2: Calculate the electric field created by the 4 c charge.

Using the same formula, the electric field created by the 4 c charge can be calculated as:

E2 = (k * 4) / (0.105^2)
E2 = 4k / 0.00441

Step 3: Add the two electric fields together.

To find the total electric field at the point halfway between the two charges, we add the electric fields created by each charge together:

E_total = E1 + E2
E_total = - k / 0.00441 + 4k / 0.00441

Step 4: Simplify the expression.

Combining the two terms, we can simplify the expression to:

E_total = (4k - k) / 0.00441
E_total = 3k / 0.00441

Step 5: Calculate the value of k.
The electrostatic constant, k, is approximately 9 x 10^9 Nm^2/C^2.

Step 6: Substitute the value of k into the expression.

Using the value of k, we can substitute it into the expression to find the value of the total electric field:

E_total = 3 * (9 x 10^9) / 0.00441

Step 7: Calculate the magnitude of the electric field.

To find the magnitude of the electric field, we take the absolute value of the total electric field:

Magnitude of E_total = |E_total|

By following these steps and performing the necessary calculations, you will be able to determine the magnitude of the electric field at a point halfway between two point charges.

Remember to include the units of the electric field, which are N/C (Newtons per Coulomb).

To know more about electric field visit;

https://brainly.com/question/30544719

#SPJ11

Answer:

7980Pa

Explanation:

1cmHg = 133Pa

60cmHg = 7980Pa

At Position D, the Sun's most direct rays are hitting the equator on Earth.

The equator is a geographic coordinate that is defined as an imaginary line that stretches approximately 40,075 km or 24,901 miles across the Earth's surface. The equator is an imaginary circle that is equidistant from the North and South Poles. This circle divides the Earth into the Northern Hemisphere and the Southern Hemisphere.

In summary, the Sun's most direct rays hit the equator on Earth when it is at Position D.

learn more about equator here

https://brainly.com/question/1264608

#SPJ11

(a) The final velocity of the camera just before it hits the ground is 31.3 m/s.

(b) The time taken for the camera to reach the ground is 2.1 seconds.

The velocity of the camera before it hits the ground is calculated as follows;

v² = u² + 2gh

where;

v² = 10.8² + 2(9.8)(44)

v² = 979.04

v = √979.04

v = 31.3 m/s

v = u + gt

31.3 = 10.8 + 9.8t

31.3 - 10.8 = 9.8t

20.5 = 9.8t

t = 20.5/9.8

t = 2.1 seconds

Thus, the final velocity of the camera just before it hits the ground is 31.3 m/s. The time taken for the camera to reach the ground is 2.1 seconds.

Learn more about final velocity here: https://brainly.com/question/25905661

#SPJ4

The height and mass of an object are directly related to the gravitational potential energy. The height of the ball decreases as it goes halfway down the tower. We can calculate the energy of the ball at that time, assuming that no other factors are affecting it.

The ball has come down to half its initial height as it is halfway down the tower. Let "H" denote the actual height of the tower. As a result, the ball hit the mid point by H/2. Since gravitational potential energy is determined by the equation, the change in height (h) is equal to H/2.

Potential Energy (PE) = mass (m) * gravitational acceleration (g) * height (h)

We can write:

∆PE = m * g * ∆h

We can ignore these effects and focus on the change in height because the mass of the ball remains constant and the acceleration due to gravity remains constant. Therefore:

∆PE = ∆h

Then, the initial potential energy of the ball is 8000 J, then at the halfway point the ball will have a gravitational potential energy of 4000 J.

Learn more about Gravitational potential energy, here:

https://brainly.com/question/3910603

#SPJ1

After 1 day has passed, approximately 6.25% of Element Z would be remaining.

The half-life of an element is the time it takes for half of the initial amount of the element to decay or transform into another element or isotopes. In this case, Element Z has a half-life of 5 hours.

To determine the percentage of Element Z remaining after 1 day (24 hours), we need to calculate the number of half-lives that have occurred.

Since the half-life of Element Z is 5 hours, there are 24 hours divided by 5 hours, which equals 4.8 half-lives.

Each half-life reduces the amount of Element Z by half. So, after 4.8 half-lives, the remaining amount of Element Z would be (1/2)^(4.8) = approximately 0.0625 or 6.25%.

Therefore, after 1 day has passed, approximately 6.25% of Element Z would be remaining.

Learn more about isotopes here:

https://brainly.com/question/28039996

#SPJ11

Answer:

0.833m/s

Explanation:

1hr=60min

=30min

{1×30)÷60=1/2

4.5/1.5=3km/hr

3×5/18=5/6or0.833m/s

Answer:

La rapidez del móvil es 12 kilómetros por hora.

Explanation:

Asumamos que el móvil experimenta un movimiento rectilíneo uniforme, cuya ecuación cinemática es la siguiente:

\(v = \frac{x}{t}\) (1)

Where:

\(x\) - Distancia recorrida, en kilómetros.

\(t\) - Tiempo, en horas.

\(v\) - Rapidez, en kilómetros por hora.

Si tenemos que \(x = 6000\,m\) y \(t = 30\,min\), entonces la rapidez del móvil es:

\(v = \frac{6000\,m\times \frac{1}{1000}\,\frac{km}{m}}{30\,min \times \frac{1}{60}\,\frac{h}{min} }\)

\(v = 12\,\frac{km}{h}\)

La rapidez del móvil es 12 kilómetros por hora.

Answer: 3.9 x 1200 = 4680

Explanation:

Answer:

can objectin motion

Explanation:

Answer:

Kinetic energy is the energy of motion.

Explanation:

Your mass would be the same on the moon as it is on Earth, which is 60 kg. Despite the moon and Earth having different gravitational fields, mass is a constant indicator of the quantity of matter present.

This suggests that option b) is the proper one.

What is the gravitational difference between the moon and the earth?

The moon won't draw things toward itself with the same force as the Earth since it has a lot less mass than the latter. In other words, even if your mass stays the same, you would weigh less if you traveled to the moon!

The average gravity at Earth's surface is 9.8 meters per second. For example, when something is thrown over the top of a building or the edge of a cliff, it falls at a speed of 9.8 meters per second each second. The surface gravity of the Moon is around 1/6th as strong, or 1.6 meters per second every second.

To know more about Gravitational difference between earth and moon visit:

https://brainly.com/question/12048928

#SPJ4

I understand that the question you are looking for is:

If your mass is 60 kilograms on earth, what would your mass be on the moon?

a) 10 pounds

b) 60 kilograms

c)60 pounds

d)10 kilograms

e)360 kilograms

The magnitude of the electric field at the position of the third particle is 2.52 x 10⁶ N/C, causing it to remain stationary.

Assuming the third particle has a charge of 0, we can use Coulomb's law to find the magnitude of the electric field at the third particle's position due to the other two charges:

E = k * (q1 / r1² + q2 / r2²)

where k is the Coulomb constant, q1 and q2 are the charges of the first two particles, and r1 and r2 are the distances from the third particle to the first two particles.

Since the triangle is equilateral, the distances from the third particle to the first two particles are both 2.0 cm. Plugging in the values:

E = (8.99 x 10⁻⁹ N*m²/C²) * (4.5 x 10⁻⁹ C / (0.02 m)² + 9.0 x 10⁻⁹ C / (0.02 m)²)

E = 2.52 x 10⁶ N/C

So the magnitude of the electric field at the third particle's position is 2.52 x 10⁶ N/C. Since the third particle has a charge of 0, there is no force on it and it will remain stationary.

Learn more about magnitude

brainly.com/question/31022175

#SPJ11

There are lots more but these are the best

The coordinate axis along which the torque vector is directed is D. -x.

In physics, torque is a measure of the rotational force applied to an object. It is a vector quantity that has both magnitude and direction. The direction of the torque vector is determined by the right-hand rule, which states that if you curl the fingers of your right hand in the direction of rotation, then the thumb points in the direction of the torque vector.

In this case, the weight w is hanging from the end of the wrench, causing a rotational force on the bolt. The weight w creates a torque that tries to rotate the wrench in the counterclockwise direction. According to the right-hand rule, the torque vector is directed along the negative x-axis (-x).

Therefore, the correct answer is D. -x, indicating that the torque vector is directed opposite to the positive x-axis.

Learn more about  torque vector here:

https://brainly.com/question/30284969

#SPJ11

The work done by the spring on the object can be calculated by finding the area under the graph of the spring force versus the position of the object.

Graph is a type of data structure that consists of a set of nodes and edges connecting them. Each node represents an entity, such as a person or place, and each edge represents a relationship between two entities. Graphs are used to represent relationships between different types of data and can be used for tasks such as finding the shortest path between two points or determining if a set of objects is connected. Graphs are also used in machine learning algorithms and artificial intelligence applications, allowing them to process data more efficiently.

To learn more about graph

https://brainly.com/question/30524391

#SPJ1

Answer:

Hooke's law, given by \(F=-kx\) is denoted with a negative sign to regard that the direction of restoring force that occurs opposite in direction of the force that caused the displacement \(x\). F represents the force required to create a spring displacement of \(x\).

Explanation:

As with many things in physics, the negative sign represents direction. In this case, after a spring is displaced a distance of \(x\) from equilibrium, the restoring force created by the spring will be in opposite direction of the force applied to move the spring there, represented by F.

Explanation:

Domestic wiring is house wiring were phase/live wire,neutral wire,earth wire is used that functions in giving the electricity to our home except in case of neutral wire

Just one electrons fill the outer shell of the smallest four elements( H, He, Li, & Be).

A chemical element is a described as chemical substance that cannot be broken down into other substances.

The elements Hydrogen (H), lithium (Li), and sodium (Na), are  group 1 elements and are called  inert gases or noble gases because of their non-reactivity, hence have just one electron in their outermost shells.

Elements has properties and the properties include, but are not limited to, conductivity, magnetism, melting point, boiling point, color, state of matter, and others.

Learn more about elements at: https://brainly.com/question/18096867

#SPJ1

Answer:

Nutral atom

Explanation:

Because there is postive charge equal to the negative charge