In the illustration below, which light bulb(s) will remain lit if the wire is disconnected at L3?

The half-life of this isotope is 15.7 days. This means that after 15.7 days, the activity of the isotope will have decreased to half of its initial value.

Using the formula for radioactive decay, A=A0e^(-λt), where A is the current activity, A0 is the initial activity, λ is the decay constant, and t is time, we can set up an equation using the given information:

A = A0e^(-λt)

8255 = A0e^(-λ(0))

3110 = A0e^(-λ(4.50 days))

Taking the ratio of the two equations and solving for λ, we get:

λ = ln(8255/3110)/4.50 days = 0.0441 per day

To find the half-life, we can use the formula T1/2 = ln(2)/λ:

T1/2 = ln(2)/0.0441 per day = 15.7 days

Therefore, this isotope has a half-life of 15.7 days. This indicates that after 15.7 days, the isotope's activity will be half of its initial value.  The half-life is an important parameter for understanding the behavior of radioactive materials, and it can be used to calculate decay rates and other properties of the isotope.

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Answer:

the atomic mass is 11

Explanation:

the atomic mass is basically how many protons and neutrons there are so for this all you have to do is some simple math:

5 + 6 = 11

and boom, ur atomic mass is equal to 11!

Answer: It's D

Explanation:

Answer:

The work completed is 73.5 Joule

Explanation:

Mechanical Work

Mechanical work is the amount of energy transferred by a force that moves an object by a certain distance. It's a scalar quantity, with SI units of joules.

Being  the force and  the displacement the work is calculated as:

W=F.s

The box of m=5 kg is lifted by a distance of s=1.5 m. The force applied to lift the box is equal to the weight of the box, assuming it's lifted at a constant speed, thus:

F = mg = 5 * 9,8 = 49 N

The work is:

W = 49 N * 1.5 m

W = 73.5 J

The work completed is 73.5 Joule

According to the law of constant composition, the set of masses resulting from the decomposition should reflect the same relative proportions of elements as the original sample.

The law of constant composition, also known as the law of definite proportions or law of definite composition, states that a particular chemical compound is composed of the same elements in the same proportions by mass, regardless of its source or method of formation. This law implies that the relative masses of the elements in a compound are fixed and constant.

When a compound undergoes decomposition, it breaks down into its constituent elements or simpler compounds. However, the relative proportions of these elements remain the same as in the original compound. This means that the set of masses resulting from the decomposition should reflect the same relative proportions of elements as the original sample.

For example, let's consider a compound composed of elements A and B in a fixed mass ratio of 2:1. According to the law of constant composition, any sample of this compound will have this 2:1 ratio of masses between elements A and B. If this compound decomposes, the resulting set of masses should still exhibit the 2:1 ratio of elements A and B. For instance, if the original sample had masses of 4 grams for element A and 2 grams for element B, the decomposition products should also have masses in a 2:1 ratio, such as 2 grams of element A and 1 gram of element B.

In conclusion, the law of constant composition states that the proportions of elements in a compound remain constant, both in the original compound and its decomposition products. Thus, the set of masses resulting from the decomposition should reflect the same relative proportions of elements as the original sample, in accordance with the law of constant composition.

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Answer:

B.  0.50 meters/second^2

Explanation:

Given:

Arranging Formulas and Substituting Values, Part 1:

Arranging Formulas and Substituting Values, Part 2:

Answer:

B.  0.50 meters/second^2

Explanation:

Answer:

Terminal velocity is achieved, therefore, when the speed of a moving object is no longer increasing or decreasing; the object's acceleration (or deceleration) is zero.

Explanation:

hope it helps you

Answer:

He will have to use two batteries instead of just one.

Explanation:

The way Brady could increase the strength of his electromagnet and pick up more thumbtacks is for him to increase the current. He can achieve this either by adding a second battery or by adding more coils of wire.

This is because using 2 batteries will make the amount of current in the coils to increase and this will in turn produce a higher electromagnetic field in the nail.

Specialty stores compete on the basis of low prices, high turnover, and high volume, this statement if false.

Specialty stores typically compete based on factors other than low prices, high turnover, and high volume. Specialty stores differentiate themselves by offering unique, high-quality, or niche products to target specific customer segments. They often focus on providing a curated selection of merchandise, personalized customer service, and expertise in their specific product category.

While competitive pricing and turnover can still be important, the primary emphasis is on providing specialized products and a unique shopping experience rather than competing solely on low prices, high turnover, and high volume.

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The energy of the ejected photoelectron is 1.89 eV.


Energy of radiation, E = 4.2 eV Work function of photocell, φ = 2.31 eV

Energy of ejected photoelectron is given by the difference of the energy of incident radiation and the work function of the metal. That is, KE = hυ - φ where, h is Planck's constant, υ is the frequency of radiation, c = λυ is the speed of lightλ is the wavelength of radiation and c is the speed of light.

From the energy formula of radiation, E = hυE = hc / λ, by substituting h and c values

KE = hc / λ - φ

Given, h = 6.626 x 10^-34 J-s, c = 3 x 10^8 m/s

λ = hc / E

= (6.626 x 10^-34 J-s x 3 x 10^8 m/s) / (4.2 eV x 1.6 x 10^-19 J/eV)

= 4.93 x 10^-7 m

KE = hc / λ - φ

= (6.626 x 10^-34 J-s x 3 x 10^8 m/s) / (4.93 x 10^-7 m) - (2.31 eV x 1.6 x 10^-19 J/eV)

= 1.89 eV

Therefore, the energy of the ejected photoelectron is 1.89 eV.

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Answer:

1200

Explanation:

f=ma

f_ force

m_ mass

a_ acceleration

Answer:

To be neutral

Explanation:

Neutrons are electrically neutral but contribute to the mass of a nucleus to nearly the same extent as the protons. Neutrons can explain the phenomenon of isotopes (same atomic number with different atomic mass). The main role of neutrons is to reduce electrostatic repulsion inside the nucleus.

Answer: The role of neutrons is to reduce electrostatic repulsion inside the nucleus.

Explanation:

Because they are neutral, so they help hold the nucleus together.

Holding a vibrating fork in front of the unit causes the display to register a speed corresponding to the vibration frequency. A tuning fork is labeled "50 mph." The frequency of the tuning fork f = 0.066  Hz

To determine the frequency of the tuning fork, we can use the information provided that the tuning fork is labeled "50 mph."

The frequency of the tuning fork can be directly related to the speed it represents. In this case, the tuning fork is labeled with a speed of 50 mph. We know that the police radar display registers a speed corresponding to the vibration frequency of the tuning fork.

To convert from mph (miles per hour) to frequency, we can use the formula:

f = (speed in mph) / (speed of sound) × (wavelength)

The speed of sound is approximately 343 meters per second (m/s), and we can convert 50 mph to meters per second by multiplying it by 0.44704 (1 mph = 0.44704 m/s).

Calculating the frequency using the formula:

f = (50 mph × 0.44704 m/s) / (343 m/s) = 0.0657 Hz

However, we need to consider that the frequency should be expressed to two significant figures. Therefore, rounding the frequency to two significant figures, we get:

f = 0.0657 Hz ≈ 0.066 Hz

Thus, the frequency of the tuning fork is approximately 0.066 Hz.

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Answer:

Hope it helps you :)

Explanation in the pic above.

The velocity of the object when it reaches the ground will be 76.68 m/s.

The second equation of motion is given by -

S = ut + 1/2 at²

Given is the Eiffel tower which is 300 meters tall.

Height of tower [S] = 300 meters

Acceleration of object [a] = + 9.8 m/s²

Initial velocity [u] = 0 m/s

Assume that its velocity when it reaches the ground is v m/s.

Effect of air friction = Negligible

Using the third equation of motion -

v² - u² = 2aS

v² = 2gS

v² = 2 x 9.8 x 300

v² = 5880

v = √5880

v = 76.68 m/s

Therefore, the velocity of the object when it reaches the ground will be 76.68 m/s.

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The object's velocity is √23 m/s when its potential energy is 23 J. The velocity of an object can be calculated by the equation \(KE=1/2mv²\), where KE is the kinetic energy, m is the mass of the object, and v is the velocity of the object. Therefore, we can use this equation to find the velocity of an object when its potential energy is 23 J.

In order to solve this problem, we must first find the mass of the object. We know that potential energy is given by the equation \(PE=mgh\), where m is the mass of the object, g is the acceleration due to gravity, and h is the height of the object above the ground.

Since we are not given the height of the object, we cannot directly calculate its mass. However, we can use another equation to find the mass.

The equation is \(PE= 1/2mv²+ mgh\), where PE is the potential energy, m is the mass of the object, v is the velocity of the object, g is the acceleration due to gravity, and h is the height of the object above the ground.

Since we know the potential energy and the height of the object is 0, we can simplify the equation to \(PE=1/2mv².\)

Solving for m, we get \(m=2PE/v²\).

Substituting the given values, we have m=2(23)/v²=46/v².

Now that we have the mass, we can use the equation \(KE=1/2mv²\) to find the velocity.

Since the potential energy of the object is equal to the kinetic energy, we have PE=KE=1/2mv².

Substituting the values we have, we get 23=1/2(46/v²)v².

Simplifying this equation, we get v²=46/2=23.

Therefore, v=√23. Hence, the object's velocity is √23 m/s when its potential energy is 23 J.

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Therefore, the strength of magnetic field is 0.177 T

What is magnetic flux?

A measurement of the total magnetic field that traverses a specific area is called magnetic flux. . The precise area selected will determine how magnetic flux is measured. The region can be any size and oriented in relation to the magnetic field as desired.

Every field line travelling across the specified area generates some magnetic flux, according to the field-line representation of a magnetic field. Another crucial factor is the angle at which the field line meets the region. Only a small portion of the field from a field line that glances through will be added to the magnetic flux. We only take into account the magnetic field vector component that is normal to our test region when computing the magnetic flux.

The magnetic flux is

Phi = B A costheta=BAcos

if we choose a basic flat surface with area AAA as our test area and an angle thetatheta between the normal to the surface and a magnetic field vector (magnitude BBB).

The following expression represents the magnetic flux through the loop in the magnetic field:

Ф=BACosФ

Here, B is the magnetic field's intensity, A is the loop's cross-sectional area, and is the angle between the magnetic field and the plane of the loop's normal.

For B, rewrite the equation.

B= Ф/AcosФ

The formula for the circular loop's surface area is,

A= π\(r^{2}\)

Here, r denotes the loop's radius.

For r in, use 12 cm instead.

Replace with, with A, and with in.

A= 4052 x \(10^{-2}\) \(m^{2}\)

Consequently, the magnetic field's strength is.

B= 0.177 T

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The force diagram of the given situation is shown below:

As you can notice, force due to the friction of the box with the flat surface is opposite to the applied force.

Answer:

because if someone close to u gets sick you would know how to cure it

Answer:

La distancia por carretera de Chitré a Parita es de 12 km o 39370.08 pies.

Explanation:

La regla de tres es una forma de resolver problemas de proporcionalidad entre tres valores conocidos y un valor desconocido, estableciendo una relación de proporcionalidad entre todos ellos.

Si la relación entre las magnitudes es directa, es decir, cuando una magnitud aumenta, también lo hace la otra (o cuando una magnitud disminuye, también lo hace la otra), se debe aplicar la regla directa de tres. Para resolver una regla directa de tres, se debe seguir la siguiente fórmula, siendo a, b y c los valores conocidos y x el valor a determinar:

a ⇒ b

c ⇒ x

Entonces \(x=\frac{c*b}{a}\)

La regla directa de tres es la regla que se aplica en este caso donde hay un cambio de unidades. Para realizar esta conversión de unidades, primero debes saber que 1 km = 3280,84 pies. Entonces, si 1 km son 3280,84 pies, ¿cuántos pies son 12 km?

1 km ⇒ 3280.84 pies

12 km ⇒ x

\(x=\frac{12 km*3280.84 pies}{1 km}\)

x= 39370.08 pies

La distancia por carretera de Chitré a Parita es de 12 km o 39370.08 pies.

Answer:

6, this could be wrong. (but I believe it is correct)

Explanation:

w=Fs

The work done on the car is the product of force and displacement. The work done by the force of 3N for a displacement of 3 m is 6 J.

Work done is the physical quantity that describes effectives of force in changing the motion of an object. When a force applied on an object results in a displacement, the force is said to be work done on the body.

Like force, work done is a vector quantity having both magnitude and direction. Thus work done can have both positive and negative values.

Work done is the dot product of force and displacement.

W = F .ds

Given, force applied on the car = 3 N

displacement ds = 2 m

Then force = 3 N × 2 m = 6 J

Therefore, the work done on the car to make the displacement is 6 J.

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From the information the saturation mixing ratio (ws) is approximately 0.000161 g \(kg^-1\)

To calculate the saturation mixing ratio (ws), we need to use the given information of specific humidity (w) and relative humidity (RH). The saturation mixing ratio represents the maximum amount of water vapor the air can hold at a given temperature.

The formula to calculate ws from w and RH is as follows:

ws = w ÷ (1 - w) × RH ÷ 100

Given:

w = 8 g \(kg^-1\)

RH = 20%

First, we need to convert w from grams per kilogram to a decimal fraction:

w = 8 ÷ 1000 = 0.008

Now we can substitute the values into the formula:

ws = 0.008 ÷ (1 - 0.008) × 20 ÷ 100

Calculating this expression:

ws = 0.008 ÷ 0.992 × 0.20

ws ≈ 0.000161 g \(kg^-1\)

Therefore, the saturation mixing ratio (ws) is approximately 0.000161 g \(kg^-1\).

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Answer:

Speed of lighter ball is 4 m/s.

Explanation:

Applying the principle of conservation of linear momentum,

momentum before collision = momentum after collision.

\(m_{1}\)\(u_{1}\) + \(m_{2}\) \(u_{2}\) = \(m_{1}\)\(v_{1}\) - \(m_{2}\)\(v_{2}\)

\(m_{1}\) = 3 kg, \(u_{1}\) = 8 m/s, \(m_{2}\) = 2 kg, \(u_{2}\) = 0 m/s ( since it is at rest), \(v_{1}\) = 2 m/s, \(v_{2}\) = ?

(3 x 8) + (2 x 0) = (8 x 2) - (2 x \(v_{2}\))

24 + 0 = 16 - 2\(v_{2}\)

2\(v_{2}\) = 16 - 24

2\(v_{2}\) = -8

\(v_{2}\) = \(\frac{-8}{2}\)

   = -4 m/s

This implies that the light ball moves at the speed of 4 m/s in the opposite direction of the heavier ball after collision.

When Nellie hangs from a pair of ropes at an angle, the tension in the ropes c. depends on the angle of the ropes to the vertical. The angle at which the ropes are hanging affects the amount of tension that is required to keep Nellie suspended in the air.

The tension in the ropes will increase as the angle of the ropes to the vertical decreases. This is because the angle of the ropes affects the horizontal and vertical components of the force acting on Nellie. When the ropes are at a steep angle, there is more of a vertical force acting on Nellie, which means that the tension in the ropes will need to be greater in order to keep her suspended.
The tension in the ropes will always be equal to Nellie's weight when the ropes are at a 90-degree angle to the vertical. However, as the angle decreases, the tension in the ropes will increase. Therefore, the tension in the ropes will never be equal to half her weight or twice her weight, but rather it will depend on the angle of the ropes to the vertical.
In conclusion, the tension in the ropes that Nellie hangs from at an angle depends on the angle of the ropes to the vertical. The greater the angle, the greater the tension needed to keep her suspended.

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Answer:

8716.97 N

Explanation:

The force between the planet and the satellite can be calculated using the following equation

Where G = 6.67 x 10^(-11) N m²/kg², m1 is the mass of the satellite, m2 is the mass of the Earth and d is the distance from the center of the Earth to the satellite

Since the radius of the Earth is 6,371 km, we get

d = 42 km + 6,371 km = 6413 km

Then, to convert to m, we need to multiply by 1000

d = 6413 km x 1000 m/km = 6.413 x 10^6 m

Finally, replacing m1 = 900 kg, m2 = 5.972 x 10^24 kg, and d = 6.413 x 10^6 m, we get:

Therefore, the force between the planet and the satellite is 8716.97 N

The process of heating a cooled cup of coffee from 55°F to 130°F is an example of endothermic reaction. Endothermic reactions absorb energy in the form of heat and result in an increase in temperature. The coffee absorbs the energy from the microwave, causing its temperature to rise.

Heat reactions, also known as thermochemical reactions, are chemical reactions that involve a change in temperature. These reactions can either be endothermic or exothermic. Endothermic reactions absorb heat and result in a decrease in temperature, while exothermic reactions release heat and result in an increase in temperature. Heat reactions play an important role in many industrial processes such as chemical synthesis, power generation, and food preparation. They can also occur in biological systems, where heat energy is used to drive metabolic processes. Understanding heat reactions is essential for developing sustainable energy technologies, controlling environmental pollution, and improving human health.

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Answer:

16.64 km/h

Explanation:

Think of the x and y components as the a and b sides of a triangle and simply do the Pythagorean Theorem:

\(a^2+b^2=c^2\)

\(14^2+9^2=c^2\)

\(\sqrt{196+81}=c\)

\(\sqrt{277}=c\)

\(16.64 km/h\)

As clench force increases, the amplitude of the EMG signal also increases because more motor units are recruited to generate the force required for the contraction.

EMG (Electromyography) is a technique used to measure the electrical activity of muscles. When a muscle contracts, it generates electrical activity that can be detected by placing electrodes on the skin overlying the muscle.

As clench force increases, the amplitude of the EMG signal also increases. This is because more and more motor units are recruited to generate the force required for the contraction. A motor unit consists of a motor neuron and the muscle fibers it innervates. For low-force tasks, only a few motor units are recruited, whereas for high-force tasks, many motor units are recruited.

The recruitment of motor units follows the size principle, which states that smaller motor units are recruited first followed by larger motor units as force increases. As force increases, larger motor units are recruited, resulting in an increase in the amplitude of the EMG signal.

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The internal conflict in the passage is about how Maggie feels about Dee's arrival. Maggie is feeling insecure about her scars and how Dee will react to her seeing her.

The correct answer to this question is option B.

Maggie is self-conscious of her appearance due to the burns on her skin. Her scars resulted from a house fire in which she was injured while trying to save some family heirloom quilts. On the other hand, Dee is confident and proud of her African heritage.

She changed her name to Wangero, saying that Dee no longer represents her real personality. Dee has also gained a formal education, moved to a big city, and embraced new ideas while rejecting her past, which has left Maggie feeling left behind in rural life.

In conclusion, the passage's internal conflict is Maggie's insecurity about her scars and how her sister Dee will react to seeing her.

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