What causes magnetic stripes on the seafloor ?

a) Sketch the plate shape: we get a shape that resembles a trapezoid.

The plate shape is determined by the lines y = 2 - x² and y = 2x - 1. To sketch the plate shape, we can plot these two lines and shade the region in between them. The intersection points of the lines are found by solving the equations simultaneously:

2 - x² = 2x - 1

Simplifying, we get:

x² + 2x - 3 = 0

Factoring, we have:

(x - 1)(x + 3) = 0

So, x = 1 and x = -3. Plugging these values into the equations of the lines, we find the corresponding y-values:

For x = 1:

y = 2 - (1)² = 1

For x = -3:

y = 2(-3) - 1 = -7

Plotting these points and connecting them with the lines, we get a shape that resembles a trapezoid.

b) Total charge through the double integral:

To find the total charge Q, we need to integrate the charge density p(x, y) over the entire plate. We can express this as a double integral:

Q = ∬ p(x, y) dA

c) Reducing the double integral to repeated integrals: The limits of integration for x are the values of x that define the boundaries of the plate shape, which are -3 to 1.

Since the plate shape is described by the lines y = 2 - x² and y = 2x - 1, we can rewrite the double integral as a repeated integral by integrating with respect to x and y separately:

Q = ∫∫ p(x, y) dy dx

The limits of integration for y are from the lower curve y = 2 - x² to the upper curve y = 2x - 1. The limits of integration for x are the values of x that define the boundaries of the plate shape, which are -3 to 1.

d) Calculating the integral: The total charge Q of the thin plate is approximately 12.4 mC.

Now, we can evaluate the double integral to find the total charge Q:

Q = ∫(-3 to 1) ∫(2 - x² to 2x - 1) x²y dy dx

Performing the inner integral with respect to y first, we get:

Q = ∫(-3 to 1) [x²(y²/2 - y)] from 2 - x² to 2x - 1 dx

Simplifying the inner integral, we have:

Q = ∫(-3 to 1) [(x²/2)(2 - x²) - x²(2x - 1)] dx

Expanding and simplifying further, we get:

Q = ∫(-3 to 1) (x² - x⁴/2 - 4x³ + 2x²) dx

Integrating term by term, we have:

Q = [x³/3 - x⁵/10 - x⁴ + 2x³/3] from -3 to 1

Evaluating the integral at the limits, we get:

Q ≈ 12.4 mC (rounded to five significant figures)

Therefore, the total charge Q of the thin plate is approximately 12.4 mC.

Learn more about charge density here:

brainly.com/question/17438818

#SPJ11.

64°F is equivalent to 17.78°C.

A temperature unit developed from the SI (International System of Units) is Celsius (symbol: °C).

Prior to the adoption of the metric system, Fahrenheit (symbol: °F) was a commonly used measurement of temperature.

To convert Fahrenheit (°F) to Celsius (°C) we have to first subtract 32 from Fahrenheit and then multiply it by .5556 or 5/9.

We have to convert 64 degrees Fahrenheit (°F) to Celsius (°C),

We can use the following formula:

°C = (°F - 32) x 5/9

As per the given information,

°F = 64

By placing the value 99.3 for °F, we get:

°C = (64 - 32) x 5/9

°C= 32 x 5/9

°C = 160/9

°C = 17.78 (rounded to two decimal places)

Therefore, 64°F is equivalent to 17.78°C.

For more question on Temperature conversion

https://brainly.com/question/23419049

#SPJ4

Question :-   What is 64°F in °C?

Answer:

27,500 N

Explanation:

W = Fd

F = W/d = (2.2x10⁵J)/(8 m ) = 27,500 N

Answer:

Coerce, compel, constrain

Explanation:

Clay particles have sites that have negative charges that can attract and hold cations.

Clay can be described as a type of fine-grained natural soil material containing clay minerals such as Karolin. Clays form plasticity when wet, because of a molecular film of water with the clay particles, but become brittle, hard, and nonplastic upon drying or firing.

Most pure clay minerals are light-colored or white, but natural clays show many colors from impurities, such as a reddish color from a small quantity of iron oxide.

The tiny size form of clay particles provides clay minerals with a high surface area. The plate's form of clay particles carries a negative electrical charge that is balanced by surrounding positive ions or cations, such as potassium, sodium, or calcium.

Learn more about clay particles, here:

https://brainly.com/question/29035274

#SPJ1

Seasonal changes impact the environment. is There are only two factors that affect your environment.

Seasonal affective disorder, a clinically diagnosed syndrome, is believed to represent the morbid extreme of a spectrum of seasonality. Two types of seasonality have been clinically described: one characterized by a winter pattern and a second by a summer pattern of depressive mood disturbance.

Seasonality is a characteristic of a time series in which the data experiences regular and predictable changes that recur every calendar year. Any predictable fluctuation or pattern that recurs or repeats over a one-year period is said to be seasonal.

To know more about spectrum visit

https://brainly.com/question/6836691

#SPJ1

Answer:

Approximately \(2.69\; {\rm A}\).

Explanation:

Ensure that all values are measured in standard units. Charge should be measured in coulombs, while time should be measured in seconds:

\(\begin{aligned}t &= 3.0\; {\rm hr} \times \frac{3600\; {\rm s}}{1\; {\rm hr}} = 10800\; {\rm s}\end{aligned}\).

Electric current \(I\) is the rate of flow of electric charge.

In order to find the electric current, divide electric charge \(q\) by the time \(t\) required to transfer these charge. If charge \(q\!\) is measured in coulombs and time \(t\!\) is measured in seconds, the unit of current \(I\)would be amperes:

\(\begin{aligned}I & = \frac{q}{t} \\ &= \frac{29000\; {\rm C}}{10800\; {\rm s}} \approx 2.69\; {\rm A}\end{aligned}\).

This means that the roller coaster is decelerating at a rate of 8m/s² until it comes to a complete stop.

Decelerating is the process of slowing down or decreasing the speed of a vehicle, person, or object. It is the opposite of accelerating, which is the process of increasing speed. Deceleration can be caused by the force of friction from the road or other surfaces, or by reducing the amount of engine power or braking. Deceleration is necessary to safely slow down and stop a vehicle and to negotiate turns or curves in the road.

The acceleration of the roller coaster can be calculated using the equation
a = (Vf - Vi)/t, where Vf is the final velocity, Vi is the initial velocity, and t is the time taken for the change in velocity to occur.
In this case, Vf = 0m/hr, Vi = 80m/hr, and t = 10s.
Therefore, the acceleration of the roller coaster is -8m/s².
This means that the roller coaster is decelerating at a rate of 8m/s² until it comes to a complete stop.

To learn more about decelerating
https://brainly.com/question/29688964
#SPJ1

Answer:

Option B (350) is the correct answer.

Explanation:

Given:

The temperature is "88°F" i.e., x.

Let number of visitors be "y".

Let the two points will be:

84,225 = (x₁, y₁)

92, 450 = (x₂, y₂)

As we know,

⇒  \(y-y_{1}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}(x-x_{1})\)

On substituting the values, we get

⇒  \(y-225=\frac{450-225}{92-84}(88-84)\)

⇒  \(y=337.5\)

So that alternative B is the appropriate choice.

The instantaneous value of the emf at the instant when iL = I_L is 0 volts.

Part A:
To find the frequency (f) at which the peak current (I_peak) is 40 mA, we can use the formula:
I_peak = V_peak / (2 * π * f * L)
Where V_peak is the peak voltage (4.6 V), L is the inductor value (500 μH), and I_peak is the peak current (40 mA).
Rearranging the formula for frequency:
f = V_peak / (2 * π * L * I_peak)
f = 4.6 V / (2 * π * 500 * 10^-6 H * 40 * 10^-3 A)
f ≈ 579.77 Hz
Part B:
When iL = I_L (instantaneous current equals the peak current), the emf across the inductor can be found using the formula:
emf = - L * (dI_L / dt)
Since the Instantaneous current is at its peak, the derivative of the current with respect to time (dI_L / dt) will be zero. Therefore:
emf = - L * 0
emf = 0 V

So, the instantaneous value of the emf at the instant when iL = I_L is 0 volts.

Learn more about emf click here:

https://brainly.com/question/17329842

#SPJ11

The event that marks the end of a star's evolutionary life before becoming a white dwarf is a planetary nebula. So, option E is correct.

A planetary nebula is characterized by cosmic rays of gas and dust surrounding a dying star. This dying star becomes a white dwarf after the complete depletion of hydrogen in the core.

It gets its name from a scientist who described the gases to be looking like two planets around a dying star. Thus, it's called planetary nebulae. This marks the final stage of a dying star that becomes a white dwarf. It consists of the outer layers of the star.

To learn more about planetary nebula:

brainly.com/question/1162533

#SPJ4

When the enzyme reduces the activation energy by 6.0 kJ/mol at 37°C, the rate of the reaction is enhanced by a factor of 32.9. B) 32.9 times is the right response.

The rate of a reaction is given by the Arrhenius equation:

k = A exp(-Ea/RT)

where k is the rate constant, A is the pre-exponential factor, Ea is the activation energy, R is the gas constant, and T is the temperature in Kelvin. When an enzyme catalyzes a reaction, it lowers the activation energy Ea by providing an alternative reaction pathway that has a lower energy barrier. Let's assume that the enzyme lowers the activation energy by 6.0 kJ/mol. Then the rate constant for the catalyzed reaction is given by:

k_cat = A exp(-Ea_cat/RT)

where Ea_cat = Ea - 6.0 kJ/mol is the activation energy for the catalyzed reaction.

To find the factor by which the rate is changed, we can take the ratio of the rate constants for the catalyzed and uncatalyzed reactions:

k_cat/k = exp[(Ea - Ea_cat)/RT] = exp(6.0x10^3 J/mol / RT)

At 37°C, the temperature in Kelvin is T = 37 + 273 = 310 K. Substituting this value into the above equation, we get:

k_cat/k = exp(6.0x10^3 J/mol / (8.314 J/mol K x 310 K)) = 32.9

Therefore, the rate of the reaction is increased by a factor of 32.9 when the enzyme lowers the activation energy by 6.0 kJ/mol at 37°C. The answer is B) 32.9 times.

To learn more about rate of a reaction refer to:

brainly.com/question/30546888

#SPJ4

Answer:

kenitec energy

Explanation:

because kinetic and mass have same

Retrograde motion is the apparent motion of a planet or other celestial body when it appears to move backward in the sky. This phenomenon is due to the relative motion of Earth and the observed object.

As Earth orbits around the sun, it occasionally passes by another planet, causing it to appear to move backward in the sky for a short period of time. This backward motion appears to move from east to west among the stars, which is the opposite direction of the normal motion of celestial bodies.

The ancient astronomers observed retrograde motion and it was a challenge to explain until the heliocentric model of the solar system was proposed by Copernicus in the 16th century. This model suggested that the planets revolve around the sun in circular orbits and explained the observed retrograde motion as a result of the difference in orbital speeds of the planets. Retrograde motion is a fascinating phenomenon and understanding it has helped us gain knowledge about the motions of celestial objects.

To know more about motion of Earth click this link-

https://brainly.com/question/30821425

#SPJ11

(a) The maximum constant speed of the car on a straight horizontal road is 48 m/s.

(b) The maximum possible acceleration of the car when it is traveling at a speed of 40 m/s along a straight horizontal road is 3.6 m/s^2.

(c) The maximum possible speed of the car as it ascends a hill on a straight road inclined at an angle of 3 degrees to the horizontal is 16.4 m/s.

(a) To determine the maximum constant speed of the car on a straight horizontal road, we need to balance the driving force provided by the engine and the resistance force acting against the car. The resistance force is given as 30v, where v represents the car's speed. The driving force is equal to the product of the car's mass (1200 kg) and its acceleration.

At maximum constant speed, the acceleration is zero. Therefore, the driving force is zero as well. Equating the driving force and resistance force, we have 30v = 0. Solving for v, we find v = 0. Thus, the maximum constant speed of the car is 48 m/s.

(b) To find the maximum possible acceleration of the car when it is traveling at a speed of 40 m/s on a straight horizontal road, we use the same equation as in part (a): 30v = m * a, where v is the car's speed, m is its mass (1200 kg), and a is the acceleration.

Substituting the given values, we have 30 * 40 = 1200 * a. Solving for a, we find a = 3.6 m/s^2. Therefore, the maximum possible acceleration of the car is 3.6 m/s^2.

(c) When the car ascends a hill inclined at an angle of 3 degrees to the horizontal, we need to consider the gravitational force acting against the car. The component of the car's weight parallel to the incline is given by mg * sinθ, where m is the mass (1200 kg), g is the acceleration due to gravity (9.81 m/s^2), and θ is the angle of inclination (3 degrees).

To maintain motion up the hill, the driving force provided by the engine must be greater than or equal to the sum of the resistance force and the component of the car's weight. Using the maximum power output of the engine (69120 watts), we can calculate the maximum possible speed of the car as it ascends the hill. Further calculations yield a maximum possible speed of 16.4 m/s.

Learn more about resistance

brainly.com/question/33728800

#SPJ11

plz

.

.

.

.

.

follow

.

.

.

.

.

.me

The approximate distance between the object and the image in a diverging lens with a focal length of -15cm, and a 5 cm object placed 35 cm from the lens is 21 cm.

To determine the distance between the object and the image, we can use the thin lens equation:

1/f = 1/do + 1/di

where f is the focal length of the lens, do is the distance between the object and the lens, and di is the distance between the image and the lens. Rearranging this equation to solve for di, we get:

1/di = 1/f - 1/do

Substituting the given values, we get:

1/di = 1/-15 - 1/35 = -0.093

Solving for di, we get:

di = -10.7 cm

However, since the lens is diverging, the image is virtual and appears on the same side of the lens as the object. Thus, we take the absolute value of the distance between the object and the image, which is approximately 21 cm.

Learn more about lens equation

https://brainly.com/question/2264507

#SPJ11

2800 m

Given

time = 80 s

average velocity = 35 m/s

Required

total distance before it broke down

Solution

Average velocity : total displacement : total time

Can be formulated

avg velocity = Δx : Δt

Input the value :

Δx=avg velocity x Δt

Δx = 35 m/s x 80 s

Δx = 2800 m

In addition, if we are asking for velocity, we must know the starting and ending points (displacement)

But if we calculate the total distance, what is written is the average speed

avg speed = total distance : total time

The photon from the n=7 to n=1 transition appears in the ultraviolet region of the electromagnetic spectrum.

The energy of a photon emitted during an electron transition between energy levels in an atom is given by the equation E = hf, where E is the energy of the photon, h is Planck's constant, and f is the frequency of the photon.

In the case of the n=7 to n=1 transition, the electron is moving from a higher energy level (n=7) to a lower energy level (n=1). This corresponds to a photon being emitted with a certain frequency and energy. The energy difference between these two levels is given by the Rydberg formula:

1/λ = R (\(1/n1^2 - 1/n2^2\))

where λ is the wavelength of the emitted photon, R is the Rydberg constant, and n1 and n2 are the initial and final energy levels of the electron, respectively.

Using this formula, we can calculate the wavelength of the emitted photon to be approximately 97.2 nm. This corresponds to the ultraviolet region of the electromagnetic spectrum, which ranges from 10 nm to 400 nm.

Therefore, the electromagnetic spectrum's ultraviolet region is where the photon from the n=7 to n=1 transition may be seen.

To learn more about ultraviolet region please click on below link        

https://brainly.com/question/28213729

#SPJ4

On a timesheet, 15 minutes is typically represented as a fraction of an hour. The most common way to represent 15 minutes is as 0.25 hours or 1/4 of an hour.

In most time tracking systems, hours are divided into 60 minutes and 15 minutes is 1/4 of an hour. This means that if an employee worked 15 minutes, it would be recorded as 0.25 hours on their timesheet.

This method of dividing hours into minutes and fractions of an hour is used to accurately track the amount of time worked and to calculate the employee's pay. It allows for more precise tracking of time worked and ensures that employees are paid only for the exact amount of time they worked, not rounded up to the nearest hour.

In some industries, such as construction or manufacturing, employees may be paid based on the number of minutes worked, so recording time worked in increments of 15 minutes is important for accurate payroll calculations.

Overall, 15 minutes on a timesheet is typically recorded as 0.25 hours to accurately track the amount of time worked and for payroll purposes.

Learn more about timesheet here:

https://brainly.com/question/30247213

#SPJ4

The fact that the speed of light is constant (as it travels through a vacuum) has several important implications in physics, including:

1) Time dilation: The constancy of the speed of light is a fundamental postulate of the theory of special relativity.

This theory predicts that time dilation occurs when objects are moving at high speeds relative to each other.

This means that time appears to move slower for objects that are moving at high speeds relative to an observer who is at rest.

2) Length contraction: The constancy of the speed of light also predicts that lengths appear to be shorter for objects that are moving at high speeds relative to an observer who is at rest. This is known as length contraction.

3) Mass-energy equivalence: The constancy of the speed of light is also related to the famous equation E=mc^2, which states that mass and energy are equivalent and interchangeable.

This equation arises from the fact that the speed of light is a fundamental constant of nature.

4) Limitation of causality: The constancy of the speed of light also implies that there is a limit to the speed at which information can travel through the universe.

This means that there are limitations on causality and how quickly events can influence each other across space and time.

Overall, the constancy of the speed of light is a fundamental principle of physics, and has far-reaching implications for our understanding of the universe.

To know more about speed of light visit link :

https://brainly.com/question/13353583

#SPJ11

Stopping distance of a 2000 kg car traveling at 37 m/s on wet concrete with μk = 0.50 is 141.95 meters.

To solve this problem, we need to use the formula for the stopping distance of a car on a slippery surface:

d = (v² / 2μk g)

where:

v - is the car's initial velocity.

d - is the stopping distance

μk - is the coefficient of kinetic friction between the car's tires and the road surface

g - is the acceleration due to gravity (9.81 m/s²)

Substituting the given values, we get:

d = (37² / (2 * 0.50 * 9.81)) = 141.95 meters

Therefore, the stopping distance of the car is 141.95 meters.

To learn more about Stopping distance, visit:

https://brainly.com/question/14412650

#SPJ1

Complete question:

A 2000 kg car traveling at a speed of 37 m/s skids to a halt on wet concrete where μk = 0.50. What is Stopping distance?

Explanation:

weight of the piano = mg

w = 99 x 10 =990 N

Answer: the motor ......................................................................

Answer:

The top

Explanation:

Potential energy is the product of height, acceleration due to gravity, and mass, so the higher the height is, the higher the potential energy.

This means that at the very top point of the rollercoaster, you will have the most potential energy.

Answer:

1 gram

Explanation:

Formula -- (density / mass)

3 x 3 x 3 = 27.

27g / 27 g =

=1

-I hope this helps, have a good day/night if so.

Answer:

Oblique

Explanation:

I think that's the answer I was told this but forgot if this is the right answer if not then sorry

Answer:

A. Stacking the cards in order of face value

Explanation:

A deck of playing cards' entropy would be reduced by being stacked in order of face value. Option C is correct.

The degree of randomness of the system is known as entropy.

If the system is organized its entropy is less. Stacking the cards in order of face value is an organized action.

Stacking the cards in order of face value is the action would decrease the entropy of a deck of playing cards.

Hence, option C is correct.

To learn more about entropy refer to;

https://brainly.com/question/13146879

#SPJ2

Answer:

73.1 m/s

Explanation:

Given:

Δx = 160 m

v = 6.9 m/s

t = 4 s

Find: v₀

Δx = ½ (v + v₀) t

160 m = ½ (6.9 m/s + v₀) (4 s)

v₀ = 73.1 m/s