Derek is watching steam form swirling patterns above the boiling water in his beaker.
Which type of thermal energy transfer is he observing?
A.Conduction
B.Translation
C.Convection
D.Radiation

Answers

Answer 1

Answer:

Convection

Explanation:

Answer 2

Answer:

C. Convection

Explanation:

I just did it


Related Questions

The

is located 12 to 50 kilometers from Earth’s surface.

Both the

get colder as altitude increases.

The ozone in the

protects people from ultraviolet (UV) radiation.

The
has the highest temperature of any layer in Earth’s atmosphere.

Answers

The thermosphere has the highest temperature of any layer in Earth’s atmosphere.

What is the atmosphere?

The term troposphere is the region that is found  12 to 50 kilometers from Earth’s surface. This region is found to be the region where you can find a lot of gases.

Both the Troposphere and the stratosphere  get colder as altitude increases. However, the ozone in the stratosphere  protects people from ultraviolet (UV) radiation.

The thermosphere has the highest temperature of any layer in Earth’s atmosphere.

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What is the symbol F g mean

Answers

Answer:

Disambiguation

Explanation:

Fg is an abbreviation used in physics to describe the amount of force exerted by gravity on an object, normally represented in units such as the newton.

Answer:Gravitational forces

Explanation:Is used in physics, used when asked to calculate the the force attracted to the nucleus

which quanities are scalars

Answers

Answer:

they are quantities with magnitude without direction e.g weight,

1. The Gravitational Constant, G, is 6.674 X 10-11 m3/kg-s. Using Equation 3 below, what is
the force of gravity (Fa) between you and a table that is 2 meters away, assuming your
table weighs 20 kg? Remember to convert your weight to kg (1 lb. = 0.45 kg). Show your
work, and report your answer with 3 significant figures.
Fy = GX
mi X m2
Equation (3)
d2

Answers

The answer is D3x-4 =65.


A box of mass 210 kg is pulled from rest with a string of tension 1300n inclined at 35° to the horizontal. if the box moved with a speed of 10m/s and frictional force between the box and surface is 100 n, calculate the distance covered.

Answers

If A box of mass 210 kg is pulled from rest with a string of tension 1300n inclined at 35° to the horizontal. if the box moved with a speed of 10m/s and the frictional force between the box and surface is 100 n, Then the distance covered by the box is 10.89 meters.

To calculate the distance covered by the box, we need to analyze the forces acting on it and apply the work-energy principle.

Given:

Mass of the box, m = 210 kg

Tension in the string, T = 1300 N

The angle of inclination, θ = 35°

Frictional force, f = 100 N

Initial speed, u = 0 m/s

Final speed, v = 10 m/s

First, let's resolve the tension force into components parallel and perpendicular to the incline. The parallel component of the tension force can be calculated as:

T_parallel = T * cos(θ)

Next, let's calculate the net force acting on the box along the incline. The net force is given by:

Net force = T_parallel - f

Now, using Newton's second law, we can calculate the acceleration (a) of the box:

Net force = m * a

From the given information, we have the final velocity (v), initial velocity (u), and acceleration (a). We can use the following kinematic equation to calculate the distance covered (s):

v^2 = u^2 + 2as

Rearranging the equation, we get:

s = (v^2 - u^2) / (2a)

Now, let's plug in the given values and calculate the distance covered:

T_parallel = 1300 N * cos(35°) ≈ 1067.35 N

Net force = 1067.35 N - 100 N = 967.35 N

a = (967.35 N) / (210 kg) ≈ 4.61 m/s^2

s = (10 m/s)^2 - (0 m/s)^2 / (2 * 4.61 m/s^2) ≈ 10.89 m

Therefore, the distance covered by the box is approximately 10.89 meters.

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Ajani is trying to experimentally measure Planck's constant h. He does this by shining different wavelengths of monochro- matic (i.e., single-wavelength) EM radiation on a metal plate with unknown work function W, and then measuring the stop- ping voltage required to bring the ejected electrons to a halt. When he uses λ1= 400 nm, he finds that a stopping voltage of V1 = 0.7 V is required. When he uses λ2 = 500 nm, he finds that a stopping voltage of V2= 0.2 V is required. Based on these two data points, what is Ajani's measurement of Planck's constant?

Answers

Answer:

h = 1.01 x 10⁻³⁴ J.s

Explanation:

The energy applied by the voltage must be equal to the energy associated with the wavelength of light:

\(eV = \frac{hc}{\lambda}\\\)

where,

e = charge on electron = 1.6 x 10⁻¹⁹ C

V = stopping potential

h = Planck's Constant = ?

c = speed of light = 3 x 10⁸ m/s

λ = wavelength of light

For λ = 400 nm = 4 x 10⁻⁷ m, V = 0.7 V:

\((1.6\ x\ 10^{-19}\ C)(0.7\ V) = \frac{h(3\ x\ 10^8\ m/s)}{4\ x\ 10^{-7}\ m}\\\)

h = 1.49 x 10⁻³⁴ J.s

For λ = 500 nm = 5 x 10⁻⁷ m, V = 0.2 V:

\((1.6\ x\ 10^{-19}\ C)(0.2\ V) = \frac{h(3\ x\ 10^8\ m/s)}{5\ x\ 10^{-7}\ m}\\\)

h = 0.53 x 10⁻³⁴ J.s

Taking average of both values:

\(h = \frac{(0.53+1.49)\ x\ 10^{-19}\ J.s}{2}\)

h = 1.01 x 10⁻³⁴ J.s

What is curved space?

Answers

Curved space often refers to a spatial geometry which is not "flat", where a flat space is described by Euclidean geometry. Curved spaces can generally be described by Riemannian geometry though some simple cases can be described in other ways.

Help on this question!!

Help on this question!!

Answers

Answer:

D

Explanation:

Answer:

I think it's D

Explanation:

A flea jumps straight up to a maximum height of 0.490 m . What is its initial velocity v0 as it leaves the ground?

Answers

Answer:

\(\huge\boxed{\sf v_o=3.1\ m/s}\)

Explanation:

Given Data:

Acceleration due to gravity = g = -9.8 m/s²

Maximum Height = h = 0.490 m

At h, \(v_f\) = 0

Required:

\(v_o=?\)

Formula:

\(2gh=v_f^2-v_o^2\)

Solution:

Put the givens

\(2 (-9.8) (0.490) = (0)\² - v_o^2\\\\-9.604=-v_o^2\\\\9.604=v_o^2\\\\Take \ sqrt\ on \ both \ sides\\\\\sqrt{9.604}=v_o^2\\\\3.1 \ m/s=v_o\\\\v_o=3.1\ m/s\\\\\rule[225]{225}{2}\)

A car stopped at a red light, begins to accelerate with a constant acceleration of 7.4 m/s^2 during a
time of 2.4 seconds. If the speed limit of the road is 35 mph (about 15.64 m/s), is the car
considered to be speeding at any point?

Answers

Answer:

The car is considered to be speeding

Explanation:

The following data were obtained from the question:

Constant acceleration (a) = 7.4 m/s²

Time (t) = 2.4 s

Speed limit = 15.64 m/s

To know if the car speeding at any point, we shall determine the velocity of the car.

This can be obtained as follow:

Constant acceleration (a) = 7.4 m/s²

Time (t) = 2.4 s

Constant velocity (v) =?

a = v/t

7.4 = v / 2.4

Cross multiply

v = 7.4 × 2.4

v = 17.76 m/s

Thus, the velocity of the car is 17.76 m/s.

Comparing the velocity of the car (i.e 17.76 m/s) with the speed limit (i.e 15.64 m/s), we can see that the velocity of the car is higher than the speed limit. Therefore, the car is considered to be speeding.

Preschool girls and boys do not differ in the amount of muscle they have
1) True
2) False

Answers

Explanation:

False...............

WHAT IS THE MEAING OF- Grouping Data​

Answers

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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To pull a nail out of a wood board a carpenter does 1000 J of work. The hammer he uses does 835 J of work. What is the efficiency of the hammer?

Answers

Answer:

83.5%

Explanation:

the earth's moon has a gravitational field strength of about 1.6 n/kg near its surface. the moon has a mass of 7.35x10^22 kg. what is the radius of the moon?​

Answers

Given that,

The earth's moon has a gravitational field strength of about 1.6 n/kg

Mass of Moon, \(M=7.35\times 10^{22}\ kg\)

To find,

The radius of the Moon.

Solution,

The formula for the acceleration due to gravity is given by :

\(g=\dfrac{GM}{r^2}\)

r is radius of the Moon

\(r=\sqrt{\dfrac{GM}{g}} \\\\r=\sqrt{\dfrac{6.67\times 10^{-11}\times 7.35\times 10^{22}}{1.6}} \\\\r=1750437.44\ m\\\\r=1.75\times 10^6\ m\)

So, the radius of the Moon is \(1.75\times 10^6\ m\).

Someone with a force of 900 N does not float in a freshwater pool. To prevent them from sinking, 20 N must be applied in an upward fashion. What is their volume and average density?

Answers

Explanation:

The buoyant force \(F_B\) is defined as

\(F_B = \rho_wgV\)

where \(\rho_w\) is the density of the displaced fluid (freshwater), g is the acceleration due to gravity and V is the volume of the submerged object. In the case of freshwater, its density is \(997\:\text{kg/m}^3.\) Since the buoyant force is 20 N, we can solve for the volume of the displaced fluid:

\(F_B = \rho_wgV \Rightarrow V = \dfrac{F_B}{\rho_wg}\)

Plugging in the values, we get

\(V = \dfrac{20\:\text{N}}{(997\:\text{kg/m}^3)(9.8\:\text{m/s}^2)}\)

\(\:\:\:\:\:= 2.05×10^{-3}\:\text{m}^3\)

Recall that the weight of an object in terms of its density and volume is given by

\(W = \rho gV\)

Using the value for the volume above, we can solve for the density of the object as follows:

\(\rho = \dfrac{W}{gV} = \dfrac{900\:\text{N}}{(9.8\:\text{m/s}^2)(2.05×10^{-3}\:\text{m}^3)}\)

\(\:\:\:\:\:= 44,798\:\text{kg/m}^3\)

find the rms speed of a sample of oxygen at 30° C and having a molar mass of 16 g/mol.​

Answers

At 30°C, the rms speed of a sample of oxygen with a molar mass of 16 g/mol is approximately 482.34 m/s.

The root mean square (rms) speed of a gas molecule is a measure of the average speed of the gas particles in a sample. It can be calculated using the formula:

vrms = √(3kT/m)

Where:

vrms is the rms speed

k is the Boltzmann constant (1.38 x 10^-23 J/K)

T is the temperature in Kelvin

m is the molar mass of the gas in kilograms

To calculate the rms speed of oxygen at 30°C (303 Kelvin) with a molar mass of 16 g/mol, we need to convert the molar mass to kilograms by dividing it by 1000:

m = 16 g/mol = 0.016 kg/mol

Substituting the values into the formula, we have:

vrms = √((3 * 1.38 x 10^-23 J/K * 303 K) / (0.016 kg/mol))

Calculating this expression yields the rms speed of the oxygen sample:

vrms ≈ 482.34 m/s

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What is the charge of the particle on an aluminum rod with a 0.946 that you pass between the poles of a 0.41-T permanent magnet at a speed of 4.05 m/s at a 90o angle?

Answers

The charge of the particle on the aluminum rod is 9.26 x 10^-6 C.

When a charged particle moves through a magnetic field, it experiences a force known as the Lorentz force. The Lorentz force is given by the equation F = qvBsinθ, where F is the force, q is the charge of the particle, v is the velocity of the particle, B is the magnetic field strength, and θ is the angle between the velocity vector and the magnetic field vector.

In this scenario, an aluminum rod with a mass of 0.946 g is passed between the poles of a 0.41-T permanent magnet at a speed of 4.05 m/s at a 90o angle. Since aluminum is a conductor, it is expected that electrons in the metal will be free to move, allowing for a current to flow through the rod.

We can calculate the charge of the particle by using the equation F = ma, where F is the Lorentz force, m is the mass of the particle, and a is the acceleration of the particle.

The acceleration of the aluminum rod can be calculated using the equation a = F/m. Since the rod is moving at a constant velocity, the force due to air resistance can be ignored. Therefore, the force acting on the rod is solely due to the Lorentz force. Thus, we can write: a = F/m = qvBsinθ/m, Solving for q, we get: q = ma/vBsinθ = (0.946 x 10^-3 kg x 4.05 m/s)/(0.41 T x sin90o) = 9.26 x 10^-6 C.

Therefore, the charge of the particle on the aluminum rod is 9.26 x 10^-6 C.

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Frequency= Wavelength = 502 km Speed= 100 m/s​

Answers

Answer:

Explanation:

Wavelength = 100m. Speed = V. 2.) Frequency = 20 Hz. Wavelength = 200 m. Speed = ... 2=1.7m. F=Y/2 f=2×10. 5.) Wavelength = 502 km. Speed= 100 m/s.

Particles q1= -66.3 μC, q2 = +108 μC, and q3 = -43.2 μC are in a line. Particles q1 and q2 are separated by 0.550 m and particles q2 and q3 are separated by 0.550 m. What is the net force on particle q2?

Remember:
Negative forces (-F) will point Left
Positive forces (+F) will point Right

Will mark brainliest IF answer is correct.

Particles q1= -66.3 C, q2 = +108 C, and q3 = -43.2 C are in a line. Particles q1 and q2 are separated

Answers

To calculate the net force on particle q2, we need to calculate the individual forces exerted by q1 and q3 on q2, considering their charges and separation distances.

Using Coulomb's Law, the force between two charged particles can be calculated as:

\(F = (k * |q1 * q2|) / r^2\)

where F is the force, k is Coulomb's constant (8.99 x 10^9 N m²/C²), q1 and q2 are the charges of the particles, and r is the separation distance between them.

For q1 and q2:

F1 = (8.99 x 10^9 N m²/C²) * (|-66.3 x 10^-6 C * 108 x 10^-6 C|) / (0.550 m)²

For q2 and q3:

F2 = (8.99 x 10^9 N m²/C²) * (|108 x 10^-6 C * -43.2 x 10^-6 C|) / (0.550 m)²

The net force on q2 is the vector sum of F1 and F2:

Net Force = F1 + F2

By calculating these values and performing the addition, we can determine the net force acting on particle q2.

Therefore, To calculate the net force on particle q2, we need to calculate the individual forces exerted by q1 and q3 on q2, considering their charges and separation distances.

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Question One
a. Why is it important to calibrate a measuring instrument regularly?
[1 marks]
b. An instrument with a standard signal of 4 mA - 20 mA is installed to measure the volume of
fluid in a cylindrical tank of height 40 m and a diameter of 6 m.
i.
If the sensor for the measurement of the volume should not have a direct contact with
the fluid, what type of sensor would you recommend to be installed?
[1 marks]
ii. Describe how you will calibrate the sensor to be able to measure the minimum and
maximum volume of fluid in the tank.
iii.
iv.
vi.
Attempt all questions.
vii.
[2 marks]
What is the maximum volume of the tank?
[2 marks]
What is the volume of the fluid in the tank if the output signal of the instrument is 14
[2 marks]
mA?
What will be the value of the output signal of the instrument if the volume of the fluid
in the tank is 65% of the maximum capacity of the tank?
[2 marks]
What will be the volume of the fluid if the sensor produces a signal of 17 mA? Express
it as a percentage.
[2 marks]
Comment on the instrument performance if a signal of 15.7 'mA is produced when the
volume of the fluid in tank is 75% of the maximum tank capacity. [2 marks]
type proximity
[1 marks]
c. Distinguish between a capacitive type proximity sensor and an inductive
switch.

Answers

a. It is important to calibrate a measuring instrument regularly for the following reasons:

Accuracy: Over time, measuring instruments can drift from their original calibration due to factors such as environmental conditions, wear, and tear, or component aging.

Compliance: In many industries, calibration is a requirement to comply with quality standards, regulations, and certifications.

Confidence: Calibration instills confidence in the measurement results obtained from the instrument.

b. i. If the sensor for measuring the volume of fluid should not have direct contact with the fluid, a suitable sensor would be a non-contact or remote-level sensor. Examples include ultrasonic sensors, radar sensors, or laser distance sensors. These sensors can measure the distance to the fluid surface without physically touching it.

ii. To calibrate the sensor to measure the minimum and maximum volume of fluid in the tank, the following steps can be taken:

Empty Tank Calibration: With the tank completely empty, the sensor should be calibrated to read the minimum volume of fluid, which is 0 m³, or any other reference point desired.

Full Tank Calibration: The tank should be filled to its maximum capacity. The sensor is then calibrated to read the maximum volume of fluid, which is the volume when the tank is at its full capacity.

iii. The maximum volume of the tank can be calculated using its dimensions. The formula for calculating the volume of a cylinder is:

Volume = π * (radius)² * height

Given the diameter (6 m), we can calculate the radius as 6 m / 2 = 3 m.

Maximum Volume = π * (3 m)² * 40 m

iv. The volume of the fluid in the tank can be determined using the linear relationship between the output signal of the instrument and the volume. Since the signal range is from 4 mA to 20 mA, and this range corresponds to the minimum and maximum volume of the tank, we can create a linear equation or calibration curve relating the output signal to the volume.

v. To calculate the volume of the fluid in the tank when the output signal is 14 mA, we use the calibration curve or linear equation obtained during calibration.

vi. To determine the output signal when the volume of the fluid in the tank is 65% of the maximum capacity, we use the calibration curve or linear equation obtained during calibration.

vii. To determine the volume of the fluid when the sensor produces a signal of 17 mA, we use the calibration curve or linear equation obtained during calibration and express the result as a percentage of the maximum capacity of the tank.

c. Distinguishing between a capacitive type proximity sensor and an inductive switch:

Capacitive Proximity Sensor: A capacitive proximity sensor uses changes in capacitance to detect the presence or absence of an object. It works based on the principle that the capacitance between the sensor and an object changes when the object enters the sensing range.

Inductive Switch: An inductive switch, also known as an inductive proximity sensor, operates on the principle of electromagnetic induction.

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When determining the pressure exerted on the body underwater, what of the must be taking into account?

Answers

The depth of the water, the water density, the acceleration due to gravity, and the buoyancy of the body must all be taken into account when calculating the pressure exerted on the body underwater.

The deeper the water, the greater the pressure, as the depth increases, the more the water molecules are pushing down on the object. The density of the water also affects the pressure, as denser water will exert more pressure than less dense water. The acceleration due to gravity will affect the pressure as well, as a greater gravitational force will create greater pressure.

Lastly, the buoyancy of the body must be taken into account, as the more buoyant a body is, the less pressure it will experience underwater. All of these factors must be taken into account to accurately calculate the pressure exerted on the body underwater.

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A wire of resistance R connected in series with 1.5V cell is found to be carrying a current of 0.05A. If the wire is now connected i parallel with an identical wire, find the new current in the circuit

Answers

Answer:Assuming, The new circuit is like the circuit attached below, the current in the new circuit will be 0.1 Ampere.

Explanation: Given, We have Potential Difference of 1.5V, Current of 0.05A.

Now, we know V = I x R ,where V is potential difference, I is current and R is resistance in the circuit.

∴ Putting the values ⇒ 1.5V = 0.05A x R

⇒R  =  1.5/0.05

R = 30 Ω

Now, It is said that A same identical wire is connected in parallel with the previous wire.

New R will be ⇒ \(\frac{1}{R(new)}\) = \(\frac{1}{r} + \frac{1}{r}\)

=[1/30] + [1/30]

=1/15

∴ 1/R(new) = 15 Ω

Now, New Current in the circuit will be:

⇒ V= IR

⇒1.5V =  I x 15

⇒I = 0.1 A

Therefore, Answer will be 0.1 ampere.

A wire of resistance R connected in series with 1.5V cell is found to be carrying a current of 0.05A.

. A 5cm tall object is placed perpendicular to the principal axis of a convex lens of focal
length 10 cm. The distance of the object from the lens is 15 cm. Find the nature, position
and size of the image. Also find its magnification

Answers

The nature of the image formed by the convex lens is virtual, the position of the image is 30 cm away from the lens on the same side as the object, and the size of the image is twice the size of the object. The magnification is 2, meaning the image is magnified.

Given:

Object height (h) = 5 cm

Focal length of the convex lens (f) = 10 cm

Object distance (u) = 15 cm (positive since it's on the same side as the incident light)

To determine the nature, position, and size of the image, we can use the lens formula:

1/f = 1/v - 1/u

Substituting the given values:

1/10 = 1/v - 1/15

To simplify the equation, we find the common denominator:

3v - 2v = 2v/3

Simplifying further:

v = 30 cm

The image distance (v) is 30 cm. Since the image distance is positive, the image is formed on the opposite side of the lens from the object.

To find the magnification (M), we use the formula:

M = -v/u

Substituting the values:

M = -30 / 15 = -2

The magnification is -2, indicating that the image is inverted and twice the size of the object.

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Find the Magnitude of the resultant vector (the actual
path of the boat).
The picture is a little blurry, so here are the stats:
Velocity of the boat is 0.75 m/s
Velocity of the river is 1.2 m/s

Answers

The magnitude of the resultant vector, representing the actual path of the boat, is approximately 1.42 m/s.


To find the magnitude of the resultant vector, we need to consider the boat's velocity and the velocity of the river. The boat's velocity is given as 0.75 m/s, and the river's velocity is given as 1.2 m/s.

Since the boat is moving in a river, we can think of the boat's velocity as a combination of two velocities: its own velocity and the velocity of the river. The resultant vector represents the actual path of the boat, considering both velocities.

To calculate the resultant vector, we can use vector addition. The magnitude of the resultant vector can be found by taking the square root of the sum of the squares of the boat's velocity and the river's velocity. Mathematically, we have:

Resultant magnitude = √(boat velocity^2 + river velocity^2)

Plugging in the given values, we have:

Resultant magnitude = √(0.75^2 + 1.2^2)

= √(0.5625 + 1.44)

= √2.0025

≈ 1.42 m/s

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Image formed by a plane mirror is

Answers

Answer: A plane mirror always forms a virtual image (behind the mirror). The image and object are the same distance from a flat mirror, the image size is the same as the object size, and the image is upright.

Explanation:

plane mirror always forms an image which is virtual in nature (meaning that light rays meet behind the mirror or that light rays do not actually come from the image), erect and of the same shape and size as that of the object, it is reflecting. It’s always virtual and erect

Problem B.2: Escaping a Star (6 Points) It takes many years for a photon produced in a star's centre to reach its surface and escape into space. This is due to its constant interaction with other particles. To estimate the time it takes for a photon to escape a star's interior, we assume that the photon is deflected in equal time intervals into a random direction in a two-dimensional space (i.e., a random walk): At each step i, the photon moves a constant distance in an angle, thus changing its position: cos(4) sin(y) Ai, - c (a) Determine the distance R(n) from the centre (0,0) after n steps.​

Answers

Answer:

This problem involves the concept of a random walk, which is a mathematical model of a path consisting of a succession of random steps.

The question asks for the distance, R(n), from the center of a star after n steps of a photon, assuming a 2D random walk.

The random walk in two dimensions has a step length of A_i and the direction of the steps is uniformly distributed in [0, 2π). The change in position after each step can be written in Cartesian coordinates (Δx, Δy), where Δx = A_i cos(θ_i) and Δy = A_i sin(θ_i).

The displacement from the center after n steps is given by the vector sum of all the individual steps. This vector sum can be written in terms of its Cartesian coordinates, (X, Y), where X = Σ Δx and Y = Σ Δy. This sum over n random vectors is itself a random variable. The net displacement R(n) from the center of the star after n steps is given by the magnitude of the net displacement vector:

R(n) = √(X² + Y²)

Because each step is independent and has a random direction, the expected value of the cosine and sine for any step is zero. This means that the expected values of X and Y are both zero.

However, the mean square displacement is not zero. Because the steps are independent, the mean square displacement in each direction is additive. For a 2D random walk:

<X²> = Σ <(Δx)²> = n <(A cos θ)²> = n A²/2

<Y²> = Σ <(Δy)²> = n <(A sin θ)²> = n A²/2

Because <X²> = <Y²>, we can write:

<R²> = <X²> + <Y²> = n A²

So, the root mean square distance (the square root of the mean square displacement) after n steps is:

R(n) = √(<R²>) = √(n) * A

Therefore, the distance R(n) that the photon is expected to be from the center of the star after n steps grows as the square root of the number of steps, with each step having a length A. Please note that this result holds for a 2D random walk. A real photon in a star would be performing a 3D random walk, which would have slightly different characteristics.

A 0.360-m-long metal bar is pulled to the left by an applied force F. The bar rides on parallel metal rails connected through a 45.0 ohm resistor, as shown in the diagram, so the apparatus makes a complete circuit. The circuit is in a uniform 0.650-T magnetic field that is directed out of the plane of the figure. At the instant when the bar is moving to the left at 5.90 m s, (a) is the induced current in the circuit clockwise or counterclockwise and (b) what is the rate at which the applied force is doing work on the bar? ​

Answers

(a) The induced current in the circuit is clockwise.

b. To find the power (P) using P = Fd/t or P = Fv (since d/t = v). Here, F = ILB (from the Lorentz force), so P = (ILB)v.

How to solve

(a) The induced current in the circuit is clockwise.

This can be determined using the right-hand rule.

As the metal bar moves to the left through the magnetic field directed out of the plane, the generated force on the electrons (Lorentz force) will push them toward the top rail, creating a clockwise current.

(b) To find the rate at which the applied force is doing work on the bar, first calculate the induced EMF (ε) using Faraday's law:

induced EMF (ε) using Faraday's law:

ε = BLv

= (0.65 T) * (0.36 m) * (5.9 m/s)

= 1.389 Tm²/s

= 1.389 V (since 1 Tm²/s = 1 V)

induced current (I) using Ohm's law:

I = ε/R

= 1.389 V / 45 Ω

= 0.03086 A

force (F) from the Lorentz force law, where F = ILB:

F = ILB

= (0.03086 A) * (0.36 m) * (0.65 T)

= 0.00723 N

Finally, we find the power (P) using P = Fv:

P = Fv

= (0.00723 N) * (5.9 m/s)

= 0.04266 W

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A 0.360-m-long metal bar is pulled to the left by an applied force F. The bar rides on parallel metal

A boat moves through the water with two forces acting on it. One is a 1,725-N forward push by the water on the propeller, and the other is a 1,300-N resistive force due to
the water around the bow.
(a) What is the acceleration of the 1,400-kg boat?
0.30
m/s 2
(b) If it starts from rest, how far will the boat move in 20.0 s?
2
m
(c) What will its velocity be at the end of that time?
3
m/s

Answers

(a) The acceleration of the 1,400-kg boat is 0.30 m/s².

(b) The boat move 60 m in 20.0 s

(c) The velocity at the end of that time will be 6 m /s

The formula for force states that force is adequate mass increased by acceleration. So, if you recognize mass and acceleration, simply multiply them along and currently you recognize the force. The units for acceleration are meters per second square ( m/s2), and therefore the units for mass are kilograms (kg).

It is given that mass of the boat = 1400 kg , forward push on the boat by the propeller = 1,725 N and resistive force of water = 1300 N

(a) Let the acceleration of the boat be "a" .

The net force on the boat will be

F(net) = F(push) - F(R)

         = 1725 - 1300

         = 425 N

Using Newton's second law of motion , we get

F(net) = ma

       a = F(net) / m

          = 425 / 1400

          =  0.30 m/s²

(b) Let the distance moved by the boat be "d" .

It is given that it starts from rest which means that u = 0

Now using the kinematic equation  s = ut + 1/2at² .   ...(1)

Putting a = 0.30  , t = 20 and u = 0  in equation (1) , we get

     s = 0 (20) + 1/2 (0.30)(20)²

        = 0 + 1/2 (0.30 × 400)

        =  120 /2

        = 60 m

(c) Let the final velocity of the boat be "v" .

Using the kinematic equation v = u + at     ..(2)

Putting a = 0.30  , t = 20 and u = 0  in equation (2) , we get

   v = 0 + (0.30)(20)

      = 6 m /s

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Define the term volume and its unit

Answers

Volume is the measure of the 3-dimensional space occupied by matter, or enclosed by a surface, measured in cubic units. The SI unit of volume is the cubic meter (m3), which is a derived unit. Liter (L) is a special name for the cubic decimeter (dm3). ... Milliliter (mL) is a special name for the cubic centimeter (cm3).

Answer:

Key Takeaways: Volume Definition

Volume is the three-dimensional space occupied by a substance or enclosed by a surface. The International System of Units (SI) standard unit of volume is the cubic meter (m3). The metric system uses the liter (L) as a volume unit. One liter is the same volume as a 10-centimeter cube.

The 10/90 principle can help you take control of your situation in taking responsibility of what you can change rather than in being victim of what you cannot change. Give an example of a situation that can change for you in applying this principle.

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The 10/90 principle can be a powerful tool for taking control of your situation and improving your life. By taking responsibility for what you can change and focusing on your reaction to the situation, you can make positive changes in your life and become the master of your own destiny.

The 10/90 principle refers to the idea that life is made up of 10% of what happens to you and 90% of how you respond to it. In other words, you may not be able to control what happens to you, but you can control your reaction to it. By taking responsibility for what you can change rather than being a victim of what you cannot change, you can take control of your situation and improve your life.One example of a situation where the 10/90 principle could be applied is losing a job. Losing a job can be a devastating experience, and it can be easy to feel like a victim in this situation. However, by applying the 10/90 principle, you can take control of your situation and make positive changes in your life.The first step in applying the 10/90 principle in this situation would be to take responsibility for what you can change. This could mean updating your resume, networking with others in your field, and applying for new jobs. By taking action and doing what you can to find a new job, you are taking control of your situation and improving your chances of finding a new job.
The second step would be to focus on your reaction to the situation. Instead of dwelling on the negative aspects of losing your job, try to focus on the positive aspects. This could mean using the extra time to pursue a new hobby or spend more time with family and friends. By focusing on the positive aspects of the situation, you are taking control of your reaction and improving your overall well-being.
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