A disk of radius produces a potential =84.4 mV at the center of the disk at point P, as shown. Assume that charge density varies linearly with the radius according to =, where =7.55×10−10 C/m3.

Calculate the radius of the disk in centimeters.

The probability that the basketball player makes no more than 20 free throws out of 28 is 0.836 or 83.6%.

To find the probability that the basketball player makes no more than 20 free throws out of 28, we need to calculate the cumulative probability of making 20 or fewer free throws.

Let's denote the probability of making a free throw as "p" and the number of free throws made as "x". In this case, p = 0.603 and we want to find the probability of x ≤ 20 out of 28 free throws.

We can use the binomial probability formula to calculate this cumulative probability:

P(x ≤ 20) = P(x = 0) + P(x = 1) + P(x = 2) + ... + P(x = 20)

P(x = k) = C(n, k) * \(p^k\) *\((1 - p)^{(n - k)\)

Where

C(n, k) = binomial coefficient

Given by n! / (k! * (n - k)!), and represents the number of ways to choose k successes out of n trials.

Now we can calculate the probability using this formula:

P(x ≤ 20) = P(x = 0) + P(x = 1) + P(x = 2) + ... + P(x = 20)

P(x ≤ 20) = ∑ [C(28, k) * \(p^k\) * \((1 - p)^{(28 - k)\)] for k = 0 to 20

Calculating this sum can be quite tedious, so it's often more convenient to use statistical software or a binomial probability calculator. For instance, using a calculator, the probability is approximately 0.836.

Therefore, the probability that the basketball player makes no more than 20 free throws out of 28 is approximately 0.836 or 83.6%.

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This question involves the concepts of mass, acceleration due to gravity, weight, Newton's Gravitational Law, gravitational force, and graphs.

Graph "A" re[resents the best relationship between acceleration due to gravity, and mass for objects.

The relationship between the mass of earth and the acceleration due to gravity can be found by equating the weight of the object and the gravitational force, from Newton's Gravitational Law on it:

\(Weigth = Gravitational\ Force\\\\mg = \frac{GmM}{r^2}\\\\g = \frac{GM}{r^2} ---------- eqn(1)\)

where,

g = acceleration due to gravity

G = universal gravitational constant

M = mass of Earth

r = radius of Earth

Hence, it is clear from equation (1), that mass of the Earth and the acceleration due to gravity have a direct relationship with each other. Therefore the graph between them will be a straight line, which is Graph A.

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The attached picture illustrates Newton's Law of Gravitation.

The total distance is 105 kilometers and the total displacement is 15 kilometers east. Option C

To calculate the total distance, we add the distances traveled in each leg of the journey: 60 kilometers (from A to B) + 45 kilometers (from B back to A) = 105 kilometers.

However, displacement refers to the change in position of an object in a straight line from its starting point to its ending point. In this case, since the boat starts and ends at the same point (A), the total displacement is zero.

Hence The total distance is 105 kilometers and the total displacement is 15 kilometers east.

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Answer:

it is no darker than any other part of the moon surface

Explanation:

Grouping data refers to the process of categorizing or organizing data based on specific criteria or attributes.

It involves grouping similar data points together to gain a better understanding of patterns, relationships, and trends within the dataset. By grouping data, you can simplify complex information and derive meaningful insights from large amounts of data. The purpose of grouping data is to create subsets or clusters that share common characteristics.

This enables easier analysis, summarization, and comparison of data within each group. Grouping can be performed on various types of data, such as numerical, categorical, or time-based data. Grouping data allows for the exploration of data at different levels of granularity.

For example, you can group sales data by region to analyze regional performance, or group customer data by demographics to identify specific customer segments. This process helps in identifying outliers, detecting patterns, and making data-driven decisions.

Common techniques for grouping data include using functions like GROUP BY in SQL or utilizing data visualization tools to create charts or graphs that illustrate the grouped data. Grouping can be applied in various fields, such as marketing, finance, healthcare, and research, to uncover insights and support decision-making processes.

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Elastic Energy - Mechanical Energy

The speed of the electron emitted in the radioactive beta-decay is determined as 2.186 x 10⁶ m/s.

The speed of the electron is determined from the total energy of the electron.

Assuming the emitted electrons are in first energy level, E = 13.6 eV

K.E = ¹/₂mv²

v² = 2K.E/m

v² = (2 x 13.6 x 1.6 x 10⁻¹⁹)/(9.11 x 10⁻³¹)

v² = 4.777 x 10⁻¹²

v = 2.186 x 10⁶ m/s

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Answer:

Objects with greater mass have a stronger force of gravity between them. Objects that are closer together have a stronger force of gravity between them.

Explanation:

Newton's law states that the strength of gravity between any two objects depends on two factors: the masses of the objects and the distance between them.

For a 18V source and resistors of 30Ω and 60Ω, I1 is 0.6A, I2 is 0.3A, and I3 is 0.9A.

To calculate the currents (I1, I2, and I3), we can use Ohm's law, which states that the current flowing through a conductor is equal to the voltage across the conductor divided by the resistance of the conductor.

Voltage (V) = 18V

Resistance (R1) = 30Ω

Resistance (R2) = 60Ω

To find the current I1 flowing through the 30Ω resistor, we use Ohm's law:

I1 = V / R1

Substituting the values:

I1 = 18V / 30Ω

I1 = 0.6A

Therefore, the current I1 is 0.6A.

To find the current I2 flowing through the 60Ω resistor, we again use Ohm's law:

I2 = V / R2

Substituting the values:

I2 = 18V / 60Ω

I2 = 0.3A

Therefore, the current I2 is 0.3A.

To find the current I3, we need to consider the circuit configuration. Assuming the resistors are connected in series, the total resistance (\(R_t_o_t_a_l\)) can be calculated by summing the individual resistances:

\(R_t_o_t_a_l\) = R1 + R2

\(R_t_o_t_a_l\) = 30Ω + 60Ω

\(R_t_o_t_a_l\) = 90Ω

Now, we can find the current I3 using Ohm's law:

I3 is the total current flowing in the circuit, which can be calculated by adding the currents flowing through R1 and R2:

I3 = I1 + I2

I3 = 0.6A + 0.3A

I3 = 0.9A (Amperes)

In summary, with an 18V source and resistors of 30Ω and 60Ω, the currents can be summarized as follows: I1 = 0.6A, I2 = 0.3A, and I3 = 0.9A.

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The potential energy of the roller coaster is 176,400 J (joules).

The potential energy of an object is given by the formula PE = mgh, where PE is the potential energy, m is the mass of the object, g is the acceleration due to gravity, and h is the height or vertical position of the object.

In this case, the roller coaster is at a peak of 20m and has a mass of 900kg. The acceleration due to gravity, g, is approximately 9.8 \(m/s^2\).

Using the formula, we can calculate the potential energy:

PE = mgh

= (900 kg)(9.8 \(m/s^2\))(20 m)

= 176,400 J

Therefore, the potential energy of the roller coaster is 176,400 J (joules).

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Using steel instead of soft iron for electromagnets would result in a significant decrease in the magnetic field strength and efficiency of the electromagnet.

Steel has a much lower permeability than soft iron, which means that it is less responsive to the magnetic field produced by the current flowing through the coil.

Soft iron has a high permeability, which allows it to become magnetized easily and strongly, producing a large magnetic field. Steel, on the other hand, has a lower permeability and requires a stronger magnetic field to become magnetized to the same degree as soft iron.

Therefore, using steel for electromagnets would result in weaker magnetic fields, which could limit the range of applications and decrease the effectiveness of the electromagnet. Additionally, the lower efficiency of the electromagnet would require more energy input to produce the same magnetic field strength as a soft iron electromagnet.

What would happen if you used steel instead for electromagnets ?

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33,638.08 Joules of energy are needed to chill 116 g of water from 85°C to 15°C.

Calculate the necessary mass of ice by applying the law of conservation of heat or by equating the heat gained by the ice, water, and calorimeter. Heat gained by the ice equals Heat lost by the water and calorimeter. Thus, we calculated the mass of the ice to be 50g using the law of conservation of heat energy.

Water has a specific heat capacity of 4.184 J/g°C. We can use the following formula to determine how much energy is needed to chill 116 g of water from 85°C to 15°C:

Q = m * c * ΔT

where:

Q = amount of energy required to cool the water (in Joules)

m = mass of water (in grams)

c = specific heat capacity of water (4.184 J/g°C)

ΔT = change in temperature (in °C)

Plugging in the values, we get:

Q = 116 g * 4.184 J/g°C * (85°C - 15°C)

Q = 116 g * 4.184 J/g°C * 70°C

Q = 33,638.08 J.

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Answer:

77 N

Explanation:

Draw free body diagrams for each block.

The smaller block has four forces acting on it:

Weight force m₁g pulling down,

Normal force N₁ pushing up,

Friction force μN₁ pushing to the left,

and tension force T pulling to the right.

Sum of forces in the y direction:

∑F = ma

N₁ − m₁g = 0

N₁ = m₁g

N₁ = (1.2 kg) (9.8 m/s²)

N₁ = 11.76 N

Sum of forces in the x direction:

∑F = ma

T − μN₁ = m₁a

T = m₁a + μN₁

T = (1.2 kg) (3.0 m/s²) + (0.25) (11.76 N)

T = 6.54 N

The larger block has five forces acting on it:

Weight force m₂g pulling down,

Normal force N₂ pushing up,

Friction force μN₂ pushing to the left,

Tension force T pulling to the left,

and applied force F pulling 69° above the horizontal.

Sum of forces in the y direction:

∑F = ma

N₂ + F sin 69° − m₂g = 0

N₂ + F sin 69° = m₂g

N₂ + F sin 69° = (3.2 kg) (9.8 m/s²)

N₂ + F sin 69° = 31.36 N

Sum of forces in the x direction:

∑F = ma

F cos 69° − T − μN₂ = m₂a

F cos 69° − μN₂ = m₂a + T

F cos 69° − 0.25 N₂ = (3.2 kg) (9.8 m/s²) + 6.54 N

F cos 69° − 0.25 N₂ = 37.9 N

We have two equations and two variables. Solve for N₂ in the first equation and substitute into the second.

N₂ = 31.36 − F sin 69°

F cos 69° − 0.25 (31.36 − F sin 69°) = 37.9

F cos 69° − 7.84 + 0.25 F sin 69° = 37.9

F (cos 69° +0.25 sin 69°) = 45.74

0.592 F = 45.74

F = 77.3 N

Rounded to two significant figures, the magnitude of the force is 77 N.

The working of solar cooker:

When sunlight comes and hits the mirrors of the solar cooker, then the reflection of lights occurs due to the mirror. This reflected light hits the food, and food observes all the sunlight rays to heat itself.

This absorption of light rays helps to cook the food placed inside the solar cooker.

The sunlight rays act as radiation inside the solar cooker, and these radiations get hit up after getting reflected from all the surfaces of the mirrors.

In a DIY solar cooker, aluminum foil is used to increase the reflection of light in the cooker so that more radiations get trapped in the cooker and cook the food faster.

Hence, aluminum foils are used to increase the reflection of lights.

Answer:

Explanation:

The power rating of the battery isn't provided. But let us assume that it is one of the common batteries with ratings of 12 V and 50 A.h

Potential energy possessed by water at that height = mgh

m = mass of the water = ρV

ρ = density of water = 1000 kg/m³

V = volume of water = ?

g = acceleration due to gravity = 9.8 m/s²

h = height of water = 50 cm = 0.5 m

Potential energy = ρVgh = 1000 × V × 9.8 × 0.5 = (4900V) J

Energy of the battery = qV

q = 50 A.h = 50 × 3600 = 180,000 C

V = 12 V

qV = 180,000 × 12 = 2,160,000 J

Energy = 2,160,000 J

At a 100% conversion rate, the energy of the water totally powers the battery

(4900V) = (2,160,000)

4900V = 2,160,000

V = (2,160,000/4900)

V = 440.82 m³

Hence, with our assumed power ratings for the battery (12 V and 50 A.h), 440.82 m³ of water at the given height of 50 cm would power the battery.

Incase the power ratings of the battery in the complete question is different, this solution provides you with how to obtain the correct answer, given any battery power rating.

Hope this Helps!!!

Answer:

v = 3.34 m/s

Explanation:

Given that,

Distance, d = 1100 m

Time, t = 330 s

We need to find the average speed of the Megan. It is equal to the total distance divided by total time taken.

\(v=\dfrac{1100\ m}{330\ s}\\\\v=3.34\ m/s\)

So, the average speed of Megan is 3.34 m/s.

Answer:

33.3

Explanation:

Remember that 1 AU is the average distance between Earth and the Sun of approximately 150 million kilometres, whereas 1 light-year is nearly 10 trillion kilometres. In other words, a light-year is a distance 60,000 times greater than an astronomical unit.

What is astronomical unit?

The average distance between Earth and the Sun is approximately 93 million miles or 150 million kilometres. Distances within our Solar System are typically measured in astronomical units.

For example, Mercury is about a third of an AU from the Sun, while Pluto is about 40 AU from the Sun (that's 40 times as far as Earth is from the Sun).

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Answer:

b

Explanation:

Answer:

50 m/s^2

Explanation:

F=ma

25 N= 0.5 kg • a

divide both sides by 0.5 kg

a=50 m/s^2

Explanation:

N2 + H2 --> NH3

balance them:

N2 + 3 H2 --> 2 NH3

so if 6 moles of N2 react, 12 moles of NH3 will form.

(you have to look at the big number in front, in this case its N2 and 2 NH3, therefore the amount of N2 will produce double the amount of NH3 )

Answer:

19 protons, 20 neutrons and 18 electrons.

Explanation:

The atomic number gives the number of protons 19

p

=

19

The atomic mass is the sum of the protons and neutrons

p

+

n

=

39

p

=

19

put p into the equation and solve for n the neutrons.

19

+

n

=

39

Subtract 19 from both sides

19

−

19

+

n

=

39

−

19

n

=

20

The number of electrons equals the number of protons in a neutral atom. The positive charge equals the negative charge. The negative charge is the number of electrons. This ion has a charge of +1. So solve for the negative charge.

−

19

+

1

=

−

18

The negative charge is -18 so

e

=

18

120 works for acellus

Answer: 119.9

Explanation:

F = (mv^2)/r

Here we know m (0.309kg), v (12.9m/s) and r (0.429m)

So F = (0.309*12.9^2)/0.429 = 119.861748

Answer:

3 m³ will occupy more volume.

Explanation:

We need to tell which occupies more volume : 3m³ or 100 ft³.

To compare, we first make the units same.

We know that,

1 m = 3.28 feet

1 m³ = 35.31 foot³

3 m³ = 105.94 foot³

Now, we can compare 105.94 foot³ and 100 ft³. It can be clear that 3 m³ will occupies more volume.

Answer:

Siberian ibex  and Himalayan markhor

Siberian Ibex and Himalaya markor are example of species of wild goats.

The wild goat or common ibex refers wild goat species that lives in mountainous areas, forests, shrublands around Turkey and the Caucasus in the west to Turkmenistan, Afghanistan and Pakistan in the east.

They can be found in mountainous area around Africa, Asia, North America.

There are 36 Subfamily of wild goats and they have surefoot which help them to live in mountainous areas.

Therefore, Siberian Ibex and Himalaya markor are example of species of wild goats.

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The angular momentum of the particle in the x-component, y-component, and z-component are 3.12, 2.84, and 1.19 kg.m/s² respectively.

Angular momentum can be defined as the rotational form of linear momentum. Angular momentum is a physical conserved quantity.

The angular momentum in the terms of linear momentum can be represented as:

\(\displaystyle \vec L= \vec r\times \vec p = m\vec r \times \vec v\)

Given, the mass of the particle, m = 70 Kg

The displacement of the vector of the particle, \(\vec r = (5.0, -5.5)\)

The velocity of the vector of the particle, \(\vec u = (3.2, 0, -8.1)\)

The angular momentum of the particle, L can be calculated as:

\(\displaystyle \vec L= m\vec r \times \vec u\)

\(\displaystyle \vec L= m(5.0,-5.5, 0)\times (3.1,0,-8.1)\)

\(\displaystyle \vec L= 0.070 \times (44.55, 40.5, 17.05) .Kg.m/s^2\)

\(\displaystyle \vec L= (3.12, 2.84, 1.19) \; kg.m/s^2\)

Therefore, the x-component of angular momentum = 3.12 kg.m/s²

The y-component of angular momentum = 2.84 kg.m/s²

The z-component of angular momentum = 1.19 kg.m/s²

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Answer:

4 degrees C

Explanation:

this is just a 'known'

Answer:

The magnetic force was much stronger on Wednesday because the magnetic force is stronger closer to the magnets.

Explanation:

The magnetic force was much stronger on Wednesday than on Tuesday because the magnetic force is stronger closer to the magnets. Therefore claim 3B is more convincing.

Magnetic force can be described as a consequence of electromagnetic force which is caused due to the motion of charges. A moving charge surrounds itself with a magnetic field and the force that arises due to interacting magnetic fields.

The magnetic force between two moving charges is the effect exerted upon either charge by a magnetic field generated by the other. The magnetic force depends on the charge, the motion of each of the objects, and the separation between them.

The magnitude of the force is determined by the cross product of velocity and the magnetic field is equal to q.[v × B]. The resultant force can be described as perpendicular to the direction of the velocity and the magnetic field.

Therefore, the magnetic force was much stronger closer to the magnets.

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Explanation:

Given:

Diameter = 200 m

Radius, r = 200/2 = 100 m

Time taken, t = 30 seconds

Formula to be used:

Distance traveled, = circumference of circle = 2πr

Answer:

Putting all the values, we get

Distance traveled = 2πr

So, the distance traveled by Raju is 628.57 m.

Now, magnitude of the displacement,

At the end of 30 seconds, Raju will come to starting position or initial position, so displacement is zero.

The farmer uses this technique to protect the produce from freezing because as the water in the tubs begins to freeze, it releases heat. This heat can help to keep the surrounding air in the shed above freezing, protecting the produce from freezing as well. Additionally, as the water in the tubs freezes, it releases latent heat of fusion, which is the energy required to change a substance from a solid to a liquid. This energy is also released in the form of heat, further helping to keep the produce from freezing.

There will be no change in the ration of Q/V. Therefore the correct answer is (a).

The ratio of charge Q to voltage V across a capacitor is given by:

Q/V = C

Where C is the capacitance of the capacitor.

If the capacitance is doubled, the new capacitance C' becomes 2C. Substituting into the equation, we get:

Q/V = C

Q/V = 2C/2 = C'

So the ratio of Q to V remains the same, and there is no change in the ratio Q/V when the capacitance is doubled.

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