As the distance between a satellite in a circular orbit and the central object increases, the period of the satellite .

The distance travelled by Arthur is 7 km and his displacement is 5 km.

The distance travelled by Arthur during the entire motion is determined by summing the entire path covered during the motion.

Distance = 3 km + 4 km

Distance = 7 km

The displacement of Arthur during the entire motion is obtained by calculating the length of the shortest path between the initial and final position.

d = √(a² + b)

where;

d = √(3² + 4²)

d = 5 km

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Ohm's law is a fundamental principle in physics and electrical engineering that relates the current flowing through a conductor to the voltage applied across it. It states that the current (I) passing through a conductor is directly proportional to the voltage (V) across the conductor, and inversely proportional to the resistance (R) of the conductor.

The current along 20 ohms in a circuit with two resistors, 20 ohms and 30 ohms, which are connected in parallel, and this combination is connected in a series to an 8 ohms resistor and a battery of e.m.f. 12 volts can be calculated as follows: The equivalent resistance for the two resistors connected in parallel by using the formula 1/Rt = 1/R1 + 1/R2, where R1 and R2 are the resistors in parallel.1/Rt = 1/20 + 1/30 = 3/60 + 2/60 = 5/60Rt = 60/5 = 12 ohms.

The equivalent resistance of the two parallel resistors is 12 ohms.

Now, calculate the total resistance of the circuit by adding the equivalent resistance of the parallel resistors and the 8 ohms resistor.

Rtotal = 12 + 8 = 20 ohmsThe total resistance of the circuit is 20 ohms.

Finally, calculate the current along the 20 ohms resistor using Ohm's law, which states that I = V/R, where V is the voltage of the battery and R is the resistance. I = V/R = 12/20 = 0.6 A.

The current along the 20 ohms resistor is 0.6 A.

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If a 0.55 kg tennis ball is struck by a tennis racket with 12 N of force pointing right, then the acceleration on the tennis ball will be 21.82m/s²

The acceleration of a tennis ball is determined by the equation

a = F/m, where a is the acceleration, F is the force, and m is the mass. In this example, the force is 12 N and the mass is 0.55 kg. Thus, the acceleration of the tennis ball is 21.82 m/s².

a=12/0.55

=21.82 m/s²

The direction of the acceleration is determined by the direction of the force. Since the force is pointing right, the acceleration will also be pointing right. This means that the speed and velocity of the tennis ball will both increase as it moves in the right direction.

In addition, the acceleration will cause the ball to accelerate and reach a terminal velocity. This means that the speed of the ball will eventually reach a maximum and then remain constant. This is due to the force of gravity and the air resistance caused by the ball moving through the air.

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Answer:

(i) Si device are coated with B or Li for neutron detection

(ii) Fast neutrons are normally first slowed down  to thermal energies before measurement

(iii) The strip detectors consists of p⁺ and n implants in the region of a very thin (300 to 400 μm) depletion zone  though which the neutrons traverse producing a readout based on the generated charges being directed to the cathode, p⁺, material  which then transmits the charge to the device electronics

Explanation:

(i) Detection of neurons with only an Si device in not possible due to the large neutrons path in Si such that the silicon needs to be coated with B or Li which readily interact with neutrons. The neutron interaction with the reactive coating produces an alpha particle which can be detected by the semi conductor and a nucleus

(ii) Neutrons having a kinetic energy that is more than 1 MeV which as such has a velocity of more than 15,000 km/s is known as fast neutrons or fission neutrons. The fast neutrons are slowed in a nuclear reactor by neutron moderation to thermal energies

Due their high speed, fast neutrons are normally slowed down which however results in the loss of some vector properties of the neutron

Techniques for fast neutron detection includes,

1) Recoil detectors which are capable of fast neutron detection without moderation

2) Bonner spheres detector first converts the fast moving electron to slow down before detection

3) Scintillation counter are widely used but require the conversion of the neutron to a charged particles before detection

(iii) Strip detectors provide high precision measurement of a particle's crossing point which can be further improved by use of low noise electronics

Applications of silicon strip detectors include

1) Particle tracking in research in particle physics

2) Particle tracking in researches in x-spectroscopy nuclear research

3) Imaging in x-talography

4) Medical research imaging

5) Particle tracking and imaging in astrophysics.

The focal length of the convex mirror is -46.0 cm (negative sign indicating a converging mirror).

To find the focal length of a convex mirror, we can use the mirror formula:

1/f = 1/v - 1/u

where f is the focal length, v is the image distance, and u is the object distance.

Given that the object is placed 23.0 cm in front of the convex mirror, we have u = -23.0 cm (negative sign indicating that the object is on the same side as the incident light).

Let's assume the image distance v is positive since the image is formed on the opposite side of the mirror. We are told that the image is one-third the size of the object. In terms of magnification (m), we have:

m = -v/u = -1/3

Substituting the values into the mirror formula and the magnification formula, we get:

1/f = 1/v - 1/u

-1/3 = -v/23.0 - 1/-23.0

Simplifying the equation, we get:

-1/3 = (-v + 1)/23.0

Cross-multiplying and solving for v, we find:

-v + 1 = -69.0

v = 70.0 cm

Substituting the value of v back into the mirror formula, we can solve for f:

1/f = 1/70.0 + 1/-23.0

1/f = -1/46.0

f = -46.0 cm

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A ray of light travels from air to glass at an angle of incidence of 21∘, the angle of refraction is 24∘. So, 1.52 is the refractive index of glass.

The refractive index of glass can be calculated using Snell's Law, which states that the ratio of the sines of the angles of incidence and refraction is equal to the ratio of the velocities of light in the two media.

The refractive index of glass can be calculated as follows:

n = sin(i) / sin(r)

where n is the refractive index, i is the angle of incidence, and r is the angle of refraction.

Using the given values, we can substitute them into the equation:

n = sin(21∘) / sin(24∘)

n ≈ 1.52

Therefore, the refractive index of glass is approximately 1.52.

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Alpha Centauri is the closest star system and closest planetary system to Earth's Solar System at 4.37 light-years (1.34 parsecs) from the Sun.

rtu

\(\int\limits^a_b {x} \, dx\)

∑

Answer:

Answer: Pressure is directly proportional to force and inversely proportional to area.

Explanation: Pressure is defined as the ratio of force applied to the area of cross section.

Mathematically,

P=\frac{F}{A}P=

A

F

where,

P = Pressure

F = Force applied

A = Area of cross-section

from above it is visible that pressure is directly proportional to the force applied which means that if force increases, pressure increases. It is also inversely proportional to the area of cross-section. So, when area of cross-section increases, pressure decreases.

The units of pressure are N/m^2N/m

2

and S.I. units for this term is Pascal (P).

The rate of heat loss is 52.3 kW. The amount of oil needed to supply heat lost by conduction from the house over a winter is approximately 1,156 gallons.

To calculate the rate of heat loss from the house, we can use the formula

Q/t = kA(Tin - Tout)/L

where Q/t is the rate of heat loss, k is the effective thermal conductivity, A is the surface area of the house, Tin is the temperature inside, Tout is the temperature outside, and L is the thickness of the walls and ceiling.

The surface area of the house is

A = 6L² = 6(9.0 m)² = 486 m²

The effective thermal conductivity is given as

koff = 0.048 W/(mK)

The thickness of the walls and ceiling is given as

L = 18 cm = 0.18 m

Substituting these values into the formula, we get

Q/t = (0.048 W/(mK))(486 m²)((20°C) - (0°C))/(0.18 m) = 52,320 W = 52.3 kW

Therefore, the rate of heat loss from the house is 52.3 kW.

To calculate the amount of oil needed to supply the heat lost by conduction over the winter, we need to find the total energy lost over the 150 days. The total energy lost is

E = Qt = (52.3 kW)(24 h/day)(150 days) = 224,280 kWh

Since the heating system is 75% efficient, the amount of oil needed is:

oil = E/(Qcη) = (224,280 kWh)/(1.4 x 10^8 J/g)(0.75) = 1,156 gallons (rounded to 3 significant figures)

Therefore, the amount of oil needed to supply the heat lost by conduction over the winter is approximately 1,156 gallons.

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The magnitude of the total momentum of the two balls after the collision is Zero.

Expecting the collision is elastic, the total momentum is conserved, so the total momentum of the two balls after the collision will be equivalent to the total momentum before the collision.

As a result, all that is required is to determine the total momentum prior to the collision. We have, assuming that north is a positive direction:

the momentum of the ball 1: p₁ = mv = 2 kg × 4 m/s = 8 kg m/s

The momentum of ball 2: p₂ = mv = 1 kg × -8 m/s = -8 kg m/s

total momentum = p₁ + p₂ = 8 kg m/s + (-8 kg m/s) = 0

So, consequently, the total momentum will be zero following the collision.

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Answer:

organism is false

Explanation:

The heart is an organ and not an organism because,

An organism is a group of systems that performs a specific function.

An organ is a group of tissue that performs a specific function

Answer:

They need carbon, sunlight and water.

Explanation:

Answer:

6.39*(10 to the 23rd)=

6.39*10²³

C. doing bicep curls.

Explanation:

why? A. is considered thermal energy.

B. is considered solar energy to chemical energy.

Answer:

In a wheelbarrow, the load is in the middle. The fulcrum is at the end where the wheels touch the ground. The effort is applied at the other end where we hold the wheelbarrow. So, it is classified as a class 2 lever.

Explanation:

Btw, you spelled liver, not lever. Anyway, hope this helped you! The answer is underlined.

Answer:

c

Explanation:

The changing of color of a substance is not necessarily an indicator of a chemical change. For example, changing the color of a metal does not change its physical properties. However, in a chemical reaction, a color change is usually an indicator that a reaction is occurring.

(1) In the first day after the materials were placed in the system, the temperature of the water would probably increase.

(2) As time passes, the total energy in the system will be conserved.

The law of conservation of energy states that energy can neither be created nor destroyed but can be converted from one form to another.

Based on the law of conservation of energy, when equal masses of copper, granite, air and water  are in a perfectly insulated container, there will be heat transfer from one object to another.

After several hours, all the objects in the perfectly insulated container, will attain equilibrium temperature.

The equilibrium temperature attained by the objects will be greater than the initial temperature of water, lower than the initial temperature of copper, granite, and air.

Conclusively, we would say that the temperature of water will increase in the first day after the materials were placed in the system.

As time passes, the total energy in the system will be conserved since it is a perfectly insulated container, and no heat energy will be lost.

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Answer:

9.0 m

Explanation:

Applying

V = kq/r......................... Equation 1

Where V = Electric potential, q = charge, r = distance, k = Coulomb's constant.

make r the subject of the equation

r = kq/V................... Equation 2

From the question,

Given: q = 1.00×10⁻⁵ C, V = 10000 V

Constant: k = 9.0×10⁹ N⋅m²/C²

Substitute these values into equation 2

r = (9.0×10⁹×1.00×10⁻⁵)/10000

r = 9.0 m

Answer:

9.0

Explanation:

Answer:

Among those two medium, light would travel faster in the one with a reflection angle of \(32^{\circ}\) (when light enters from the air.)

Explanation:

Let \(v_{1}\) denote the speed of light in the first medium. Let \(v_{\text{air}}\) denote the speed of light in the air. Assume that the light entered the boundary at an angle of \(\theta_{1}\) to the normal and exited with an angle of \(\theta_{\text{air}}\). By Snell's Law, the sine of \(\theta_{1}\!\) and \(\theta_{\text{air}}\!\) would be proportional to the speed of light in the corresponding medium. In other words:

\(\displaystyle \frac{v_{1}}{v_{\text{air}}} = \frac{\sin(\theta_{1})}{\sin(\theta_{\text{air}})}\).

When light enters a boundary at the critical angle \(\theta_{c}\), total internal reflection would happen. It would appear as if the angle of refraction is now \(90^{\circ}\). (in this case, \(\theta_{\text{air}} = 90^{\circ}\).)

Substitute this value into the Snell's Law equation:

\(\begin{aligned}\frac{v_{1}}{v_{\text{air}}} &= \frac{\sin(\theta_{1})}{\sin(\theta_{\text{air}})} \\ &= \frac{\sin(\theta_{c})}{\sin(90^{\circ})} \\ &= \sin(\theta_{c})\end{aligned}\).

Rearrange to obtain an expression for the speed of light in the first medium:

\(v_{1} = v_{\text{air}} \cdot \sin(\theta_{1})\).

The speed of light in a medium (with the speed of light slower than that in the air) would be proportional to the critical angle at the boundary between this medium and the air.

For \(0 < \theta < 90^{\circ}\), \(\sin(\theta)\) is monotonically increasing with respect to \(\theta\). In other words, for \(\!\theta\) in that range, the value of \(\sin(\theta)\!\) increases as the value of \(\theta\!\) increases.

Therefore, compared to the medium in this question with \(\theta_{c} = 27^{\circ}\), the medium with the larger critical angle \(\theta_{c} = 32^{\circ}\) would have a larger \(\sin(\theta_{c})\). such that light would travel faster in that medium.

The intrinsic property that we can estimate with unaided eye, when looking at brightest stars, is temperature .

The intrinsic properties of stars are those which does not depend upon the distance of star from the earth e.g. temperature, mass, diameter, etc.

The temperature can be estimated by an unaided eye as the red stars are known to be cooler than the blue ones. The other intrinsic properties can't be predicted by unaided eye and require special optical instruments to make the observations. By the beginning of the 20th century, astronomers understood how to measure these intrinsic properties. Other than the temperature , the other important intrinsic property is the luminosity which can be determined by measuring the distance of star and its apparent brightness.

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Answer:

1. 50m/s²

2. 58m/s²

Explanation:

because you can see that

force is equals to mass into acceleration so you can simply multiply it by

F=ma

The distance between the ships at 4:00 p.m. remains constant, the speed at which the distance is changing is 0 km/hr.

To determine the speed at which the distance between the ships is changing at 4:00 p.m., we need to calculate the rate of change of the distance between them.

Let's first find the positions of the ships at 4:00 p.m.:

Ship A has been sailing for 4 hours at a speed of 40 km/h, so it has traveled a distance of 4 hours × 40 km/h = 160 km east from its initial position.

Ship B has been sailing for 4 hours at a speed of 25 km/h, so it has traveled a distance of 4 hours × 25 km/h = 100 km north from its initial position.

Now we can calculate the distance between the ships at 4:00 p.m. using the Pythagorean theorem:

Distance = √((east-west distance)² + (north-south distance)²)

Distance = √((180 km + 160 km)² + (0 km + 100 km)²)

Distance = √(340 km² + 100 km²)

Distance = √(115600 km²)

Distance = 340 km

Now, let's consider the time from noon to 4:00 p.m., which is 4 hours. To find the rate of change of the distance between the ships, we can calculate the derivative of the distance with respect to time:

d(Distance)/dt = d(340 km)/dt = 0

Since the distance between the ships at 4:00 p.m. remains constant, the speed at which the distance is changing is 0 km/hr.

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Answer:

C. Velocity measures an object's rate and direction of motion, and speed measures rate only.

Velocity is a vector quantity that includes both the speed (magnitude or numerical value of the rate of motion) and direction of motion. On the other hand, speed is a scalar quantity that only measures the numerical value of the rate of motion. In other words, velocity gives us information about the object's speed and the direction in which it is moving, while speed only tells us how fast the object is moving, without any information about the direction.

Answer:

Explanation:

The oly way we can figure this out is if the boy is pulling the sled at a constant velocity. If not, we need a value for acceleration, and you don't have that here. If the boy is pulling the sled at a constant velocity, then the value for acceleration is 0, making this a really simple problem. I'm going with that, since there is no way to answer you otherwise. If velocity is not constant, please either repost the question or put it in the notes section under the question as it stands. If acceleration is 0, then

F - f = ma becomes

F - f = m(0) which is

F - f = 0 and

F = f which says that the applied force is the same as the frictional force. We need then to find the frictional force, which has an equation of

f = μ\(F_n\) where normal force is the same as the weight of the 2 girls. We will find that, then:

Each girl's mass is different so the normal force/weight equation is

w = (30.0)(9.8) + (40.0)(9.8) to get

w = 290 + 390 and

w = 680. Plug that into the frictional force equation:

f = (.120)(680) so

f = 82N

Answer: It will fall short of its goal.

Explanation: I took the quiz.

No, the cannon ball will fall short of the goal

The given parameters;

The time taken for the cannon ball to fall from the given height;

\(h = v_0_y t + \frac{1}{2} gt^2\\\\100 = 0 + 0.5\times 9.8 \times t^2\\\\100 = 4.9t^2\\\\t^2 = \frac{100}{4.9} \\\\t = \sqrt{20.41} \\\\t = 4.52 \ s\)

The horizontal distance traveled by the cannon ball at this time is calculated as;

\(X = v_0_x \times t\\\\X = 50 \times 4.52\\\\X = 226 \ m\)

226 m is less than the target distance of 400 m.

Thus, we can conclude that the cannon ball will fall short of the goal.

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The winds blow at less than 13 m/s for approximately 8531.3 hours per year.

For Rayleigh winds with an average wind speed of 8m/s: How many hours per year do the winds blow at less than 13 m/s?The Rayleigh wind speed distribution is described by the equation: f(v) = (v/vm²) * e^(-v²/2vm²), where vm is the most probable velocity (or the maximum of the distribution curve).

1. The probability that a wind speed is less than v is given by: P(v) = ∫ f(v') dv' from 0 to v

For this problem, the average wind speed is 8 m/s. Thus, vm = 1.2 * 8 = 9.6 m/s. The probability that a wind speed is less than 13 m/s can be computed as follows:P(13 m/s) = ∫ f(v') dv' from 0 to 13 = (1/vm²) * ∫ v' * e^(-v²/2vm²) dv' from 0 to 13= 1/9.6² * (-e^(-169/184)) + 13/9.6 * √(2/π) * Erf(13/√(2 * 9.6²))= 0.9743 ≈ 97.43%

Therefore, winds blow at less than 13 m/s for P(13m/s) = 97.43% of the time in a year.

We can calculate the number of hours per year using the following formula: Number of hours = Probability * Number of hours in a year= P(13 m/s) * 8760 hours= 0.9743 * 8760= 8531.3 hours (rounded to one decimal place)

Thus, the winds blow at less than 13 m/s for approximately 8531.3 hours per year.

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Value of current \(I_{b}\) is 82.9 A

A conductor carrying current generates a magnetic field around itself. In other words, it behaves like a magnet and develops a force when the magnet is brought into a magnetic field. Magnetic fields also exert equal and opposite forces on conductors through which current flows. A conducting conductor produces its own magnetic field and experiences a force when interacting with an external magnetic field.

When two energized wires are placed parallel to each other, their magnetic fields interact and exert a force between the wires. The force acting on each wire is the same in magnitude but opposite in direction. This is true even if the conductors carry currents of different magnitudes.

mg = \(\frac{4\pi * 10^{-7} }{4\pi }\) × \(\frac{2 I_{a}I_{b} l }{r}\)

Given, Iₐ =  130 A

m =  0.100 g/cm or 0.1×10⁻²g/m

So, by substituting values in the formula:

0.1×10⁻²× 9.8 = 10⁻⁷ ×\(\frac{2 * 130* I_{b} }{2.2 * 10^{-2} }\)

\(I_{b}\) =  82.9 A

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The experiments to demonstrate the conservation of momentum with the two billiard balls of known masses, m₁ and m₂, and velocities u₁ and u₂. The balls are then made to collide with velocities v₁ and v₂ after the collision

The momentum before and after the collision is then calculated as follows:

The momentum of a body is the product of the mass and the velocity of the object.

Mathematically;

the momentum of a body is determined as follows:

Momentum = mass * velocity

Momentum is conserved if the momentum before and after the collision is equal.

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The energy conversion taking place as the blades of wind turbines rotate is the conversion of kinetic energy of the wind into mechanical energy, which is then converted into electrical energy by a generator

The blades of wind turbines convert the kinetic energy of the wind into mechanical energy, which is then converted into electrical energy by a generator. This process is known as wind energy conversion, where the kinetic energy of the wind is transformed into usable electricity. As the wind blows over the blades of the wind turbine, it causes the blades to rotate.

The rotation of the blades turns a rotor, which is connected to a shaft, and this shaft is connected to a generator. The rotation of the shaft in the generator creates electricity, which can then be stored or transmitted to power homes and businesses.

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