Answer:
1.85 J/K
Explanation:
The computation of total change in entropy is shown below:-
Change in Entropy = Sum Q ÷ T
= \(\frac{-heat\ entering\ the\ reservoir}{Reservoir\ 1\ Temperature} + \frac{Conduction\ of\ heat}{Reservoir\ 2\ Temperature}\)
\(= \frac{-1760}{563} + \frac{1760}{354}\)
= -3.12 + 4.97
= 1.85 J/K
Therefore for computing the total change in entropy we simply applied the above formula.
As we can see that there is heat entering the reservoir so it will be negative while cold reservoir will be positive else the process would be impossible.
A 2.0 kg object is raised a vertical distance of 3.0 m. What is the resulting change in
a
gravitational potential energy? Round your answer to the nearest whole number.
Answer:
gpe gained = 60J
Explanation:
gravitational potential energy = mass * gravity * height
gpe = 2 kg * 10 N * 3 m
gpe = 60J
Why do we see the colors in the soap bubble?
If I have a BEYBLADE spinning for about 34 seconds, how many mph does it spin? If I have a BEYBLADE that spins for 42 seconds, how many mph does it spin?
34 second beyblade speed= 1 rotation every 00.1 second
42 second beyblade speed= 1 rotation every 0.00001 second
These are estimated speeds. I think this because the speed of the beyblade.
the information provided (34 and 42 seconds) does not give the necessary information to determine the speed at which the BEYBLADE is spinning in miles per hour. To calculate the speed of the BEYBLADE we need to know the distance traveled in each rotation. Also, you mentioned that the beyblade makes 1 rotation in 34 seconds and 42 seconds, which is not correct, it should be 1 rotation per second in 34 seconds, and 1 rotation per 42 seconds.
Why do you think that not all light waves are not hitting
earth's surface?
2. The second year of Peixotto Media's incorporation, the board of directors
announce that they will issue cash dividends to their shareholders. At this point,
shareholders own 70,000 shares of stock in the corporation. The dividends will be 10
cents per share.
a. How should Savannah journalize the declaration and payment of this dividend? (4
points)
b. Now, imagine that Peixotto Media had chosen to pay its shareholders a stock
Qividend instead of cash dividend. At the time, their stock is valued at $7.25 per
share. They choose to pay a 5 percent dividend. How would Savannah journalize the
declaration and payment of this dividend? (4 points)
c. Elena and Josh both own common stock in Peixotto Media. Elena owns 300
shares and Josh owns 75 shares. Compute the dividends payable to both
shareholders. Show your work. (2 points)
a. Savannah would debit retained earnings and credit dividends payable for the declaration of a cash dividend, and debit dividends payable and credit cash for the payment, b. To declare and pay a stock dividend, Savannah would debit retained earnings and credit common stock dividend distributable for declaration, then debit common stock dividend distributable and credit common stock for payment, and c. Dividends payable to shareholders like Elena and Josh can be computed by multiplying the number of shares owned by the dividend per share.
Dividends Payable is a liability account used to record the amount of dividends that a company owes to its shareholders but has not yet paid out. It represents the obligation of the company to pay out the declared dividend amount to its shareholders, and the balance is typically cleared out when the dividend payment is made. Companies usually set a record date and payment date to declare and pay dividends respectively.
a. To journalize the declaration and payment of the cash dividend, Savannah would make the following entries:
Declaration:
Debit: Retained Earnings
Credit: Dividends Payable
Payment:
Debit: Dividends Payable
Credit: Cash
b. To journalize the declaration and payment of the stock dividend, Savannah would make the following entries:
Declaration:
Debit: Retained Earnings
Credit: Common Stock Dividend Distributable (70,000 x 5% = 3,500 shares)
Payment:
Debit: Common Stock Dividend Distributable
Credit: Common Stock ($7.25 x 3,500 shares)
c. To compute the dividends payable to Elena and Josh, we would use the following formula:
Dividends Payable = Number of Shares x Dividend per Share
For Elena:
Dividends Payable = 300 shares x $0.10 per share = $30.00
For Josh:
Dividends Payable = 75 shares x $0.10 per share = $7.50
Therefore, To declare and pay a cash dividend, Savannah would debit retained earnings and credit dividends payable for declaration, and debit dividends payable and credit cash for payment. To declare and pay a stock dividend, Savannah would debit retained earnings and credit common stock dividend distributable for declaration, then debit common stock dividend distributable and credit common stock for payment. Dividends payable to shareholders like Elena and Josh can be computed by multiplying the number of shares owned by the dividend per share.
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What is an ellipse?
a plane that slices between orbits
an oval-shaped orbit
a circular orbit
the center of gravity between orbiting objects
Answer:
i think it's C thx correct me if wrong
An object is attached to a trolley with a 0.80 kg mass, which is then pushed into an identical trolley at a speed of 1.1 m / s. The two trolleys couple together and move at a speed of 0.70 m / s after the collision. Calculate the mass of the object.
The mass of the object is approximately 0.457 kg.
The mass of the object attached to the trolley can be calculated using the principle of conservation of momentum. Since the two trolleys couple together and move as a single system after the collision, the total momentum before and after the collision should be the same. Given the mass of one trolley is 0.80 kg and the initial speed is 1.1 m/s, the momentum before the collision is 0.80 kg * 1.1 m/s = 0.88 kg·m/s. After the collision, the total mass is the sum of the two trolleys, and the final speed is 0.70 m/s.
Using the momentum equation, the mass of the object can be calculated as follows:
Total momentum before collision = Total momentum after collision
0.88 kg·m/s = (0.80 kg + mass of the object) * 0.70 m/s
Solving for the mass of the object, we get:
0.88 kg·m/s = (0.80 kg + mass of the object) * 0.70 m/s
0.88 kg·m/s = 0.56 kg + 0.70 kg * mass of the object
0.88 kg·m/s - 0.56 kg = 0.70 kg * mass of the object
0.32 kg = 0.70 kg * mass of the object
Dividing both sides by 0.70 kg, we find:
mass of the object = 0.32 kg / 0.70 kg = 0.457 kg
The two trolleys collide and couple together, the total momentum before the collision is equal to the total momentum after the collision according to the principle of conservation of momentum.
The momentum of an object is defined as the product of its mass and velocity. In this case, the mass of one trolley is known (0.80 kg) and the initial speed is given (1.1 m/s), allowing us to calculate the momentum before the collision.
After the collision, the two trolleys move together at a new speed (0.70 m/s). By setting the initial momentum equal to the final momentum and solving for the unknown mass of the object, we can find its value.
In the calculation, we subtract the masses of the two trolleys from the total mass in order to isolate the mass of the object.
Dividing the difference in momentum by the product of the known mass and the new speed, we obtain the mass of the object. In this case, the mass of the object is approximately 0.457 kg.
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What acceleration is needed to bring a car that is initially going 65.0 mi/hr to a complete stop in a distance of 57.0 m?
7.41 m/s^2
ExplanationWhen an object is traveling in a straight line with an increase or decrease in velocity at equal intervals of time, then the object is said to be in uniform acceleration
to find the acceleration we can use the formulas
\(\begin{gathered} x=v_it+\frac{1}{2}at^2 \\ and \\ v_f=v_1+at \end{gathered}\)so
Step 1
a)
let
\(\begin{gathered} initial\text{ velocity}=v_i=65\frac{mi}{h} \\ final\text{ velocity= 0 \lparen complete stop-rest\rparen} \\ distance=57\text{ m=0.0354182 miles} \end{gathered}\)b) replace in equation (2)
\(\begin{gathered} v_{f}=v_{1}+at \\ 0=65+at \\ -65=at \\ a=-\frac{65}{t} \end{gathered}\)replace in equation (1)
\(\begin{gathered} x=v_{i}t+\frac{1}{2}at^{2} \\ 0.0354182=65t+\frac{1}{2}(-\frac{65}{t})t^2 \\ 0.0354182=65t-\frac{1}{2}(\frac{65}{})t^ \\ 0.0354182=65t-\frac{65}{2}t \\ 0.0354182=t(65-\frac{65}{2}) \\ 0.0354182=t(32.5) \\ t=\frac{0.0354182}{32.5}=0.001089\text{ hours} \end{gathered}\)now, replace in the previous equation to find a
\(\begin{gathered} a=-\frac{65}{t} \\ a=-\frac{65\frac{mi}{h}}{0.001089\text{ hours }} \\ a=-59687\text{ }\frac{miles}{hour^2} \end{gathered}\)so, the answer is
\(a=-59687.78\frac{m\imaginaryI les}{hour^{2}}\)finally, let's convert the acceleration from miles per squared hour into meters per square second
remember that:
\(\begin{gathered} 1\text{ hour = 3600 seconds } \\ 1\text{ miles=1609.34 meters} \end{gathered}\)so
\(\begin{gathered} a=-59,687\frac{m\imaginaryI les}{hour^{2}}(\frac{1\text{ hour}}{3600\text{ s}})^2(\frac{1609.34\text{ m}}{1\text{ mile}}) \\ a=-59,687\frac{\text{m}\mathrm{i}\text{les}}{\text{hour\textasciicircum{\text{2}}}}*\frac{1\text{ hour}^2}{12960000\text{s}^2}*(\frac{1609.34\text{ m}}{1\text{ mile}}) \\ a=-7.41\text{ }\frac{m}{s^2} \end{gathered}\)hence
the acceleration is -7.41 m/s^2
I hope this helps you
how is one second time defined in the si system
Answer:The place to go for the answer to such an easy question is the SI Brochure, the document which defines the SI and all its units.
can anyone write for me all the equation of linear motion
All the equations of motion are as follows, Displacement (s) equation, Final velocity (v) equation, Average velocity (v_avg) equation, Displacement (s) equation with average velocity, and Displacement (s) equation.
Equations of MotionIn terms of its motion as a function of time, equations of motion define how a physical system behaves. In more detail, the equations of motion define how a physical system behaves as a collection of mathematical functions expressed in terms of dynamic variables.
s = ut + (1/2)at^2v = u + atv_avg = (u + v) / 2s = v_avg * ts = (u + v) / 2 * tv^2 = u^2 + 2asIn conclusion, equations of motion define how a physical system behaves in terms of how its motion changes over time.
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Two blocks, 1 and 2, are connected by a massless string that passes over a massless pulley. 1 has a mass of 2.25 kg and is on an incline of angle 1=42.5∘ that has a coefficient of kinetic friction 1=0.205. 2 has a mass of 5.55 kg and is on an incline of angle 2=33.5∘ that has a coefficient of kinetic friction 2=0.105
. The figure illustrates the configuration.
A system of two blocks connected by a rope passing over a pulley. The system sits atop a scalene triangle whose long edge forms the base. The pulley is attached to the apex of the triangle. Box M subscript 1 rests on the triangle edge to the left of the pulley, which makes an angle of theta subscript 1 with the base of the triangle. The coefficient of friction between box M sub 1 and the surface is mu subscript 1. Box M subscript 2 rests on the triangle edge to the right of the pulley, which makes an angle of theta subscript 2 with the base of the triangle. The coefficient of friction between box M sub 2 and the surface is mu subscript 2.
The force acting on the system of two blocks connected by a rope passing over a pulley is -13.26 N.
The system of two blocks connected by a rope passing over a pulley are M1 and M2, where M1 rests on the triangle edge to the left of the pulley, which makes an angle of theta subscript 1 with the base of the triangle. The coefficient of friction between box M1 and the surface is mu subscript 1. M2 rests on the triangle edge to the right of the pulley, which makes an angle of theta subscript 2 with the base of the triangle.
The coefficient of friction between box M2 and the surface is mu subscript 2. The system sits atop a scalene triangle whose long edge forms the base. The pulley is attached to the apex of the triangle.M1 has a mass of 2.25 kg and is on an incline of angle 1=42.5∘ that has a coefficient of kinetic friction 1=0.205. M2 has a mass of 5.55 kg and is on an incline of angle 2=33.5∘ that has a coefficient of kinetic friction 2=0.105.The free-body diagram of M1 shows that the weight of M1 acts straight downwards (vertically) and the normal force acts perpendicular to the slope.
The force of friction opposes the motion and acts opposite to the direction of motion.M1 = 2.25 kgTheta subscript 1 = 42.5 degreesMu subscript 1 = 0.205g = 9.81 m/s²In the free-body diagram of M2, the normal force acts perpendicular to the incline of the slope, the weight of the object acts vertically downwards and parallel to the incline, and the force of friction opposes the motion and acts opposite to the direction of motion.M2 = 5.55 kgTheta subscript 2 = 33.5 degreesMu subscript 2 = 0.105g = 9.81 m/s²The tension in the string is the same throughout the rope. Since the masses are being pulled by the same rope, the acceleration of the objects is the same as the acceleration of the rope.
The tension in the string is directly proportional to the acceleration of the objects and the rope.A system of two blocks connected by a rope passing over a pulley has a total mass of M. The acceleration of the system is given by the formula below:a = [(m1-m2)gsin(θ1) - μ1(m1+m2)gcos(θ1)] / (m1 + m2)Where, μ1 = 0.205 is the coefficient of friction of block M1θ1 = 42.5 degrees is the angle of the incline of block M1M1 = 2.25 kg is the mass of block M1M2 = 5.55 kg is the mass of block M2g = 9.81 m/s² is the acceleration due to gravitysinθ1 = sin 42.5 = 0.67cosθ1 = cos 42.5 = 0.75The acceleration of the system is:a = [(2.25-5.55)(9.81)(0.67) - (0.205)(2.25+5.55)(9.81)(0.75)] / (2.25 + 5.55)a = -1.7 m/s² (the negative sign indicates that the system is accelerating in the opposite direction).
The force acting on the system is given by:F = MaWhere M is the total mass of the system and a is the acceleration of the system. The total mass of the system is:M = m1 + m2M = 2.25 + 5.55M = 7.8 kgThe force acting on the system is:F = 7.8(-1.7)F = -13.26 N (the negative sign indicates that the force is acting in the opposite direction).
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Which of the following would increase the gravitational force between the Earth and the Moon the most?
A- Double the Mass of the Earth
B- Double the Mass of the Moon
C- Cut the distance between the Earth and Moon in half
D- None of the above
Answer:
i think C is the answer
Explanation:
The gravitational force between the Earth and Moon will increase by cutting the distance between the Earth and Moon in half. Hence, option (C) is correct.
The given problem is based on the concept of gravitational force. The force of attraction between the two massive bodies in a space is known as the gravitational force. Let us consider the mass of Earth and moon as M and m such that the gravitational force between each is,
\(F = \dfrac{G \times M \times m}{R^{2}}\)
Here,
G is the universal gravitational constant.
R is the distance between the Earth and Moon.
Clearly, the forces between the Earth and Moon varies directly with the masses of Earth and Moon and inversely with the distance between the Earth and Moon. Since, masses are the constant parameters, hence reducing the distance will increase the gravitational force.
Thus, we can conclude that the gravitational force between the Earth and Moon will increase by cutting the distance between the Earth and Moon in half. Hence, option (C) is correct.
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Calculate the final displacement from 0 if an object first moves 4 cm to the left and then 5 cm to the right
Answer:
The final displacement would be 2cm to right.
find the moment of force of 60 Newton about an axis of rotation at distance 20 cm from the force
Answer:
10 N.m
Explanation:
Force * Perpendicular distance.
= 20 N * 0.5 m
= 10 N.m
If the strength of the sun's magnetic field decreased from its current level, why would the temperature of sunspots increase?
Magnetic field lines emerge from one sunspot and re-enter at the other spot. Also, there are more sunspots during periods of increased magnetic activity. At ...
The temperature of sunspots increases because magnetic field lines emerge from one sunspot and reappear in another. During periods of increased magnetic activity, there are also more sunspots.
What is the sun's magnetic field?The magnetic field of the sun has two poles, similar to a bar magnet. Every 11 years, at the peak of the solar activity cycle, the poles flip.
The magnetic field is carried away from the sun's surface and through the solar system by a solar wind made up of charged particles. The sun is more like a fluid than a solid ball.
Thus, the magnetic field lines emerge from one sunspot and reappear in another. During periods of increased magnetic activity, there are also more sunspots.
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what is the famous title of senen bacani
Senen Bacani is an entrepreneur, the CEO of La Fuerta Inc which is one of the largest exporters of bananas in Philippines.
Who is Senen Bacani?Senen Bacani was the formal sectary of Agriculture to president Corazon Aquino and during that time he visited many Philippines province and realize how poor people struggle to fend for their families and remember how his father who was a doctor received farm produce from his patient, appreciating him for medical care they received seeing the need of the of the rural people, has compelled him to work for shifts in policy and programs as the secretary and later in 1993 after working for president Aquino administration, he establish a business in agriculture to provide employment and to alleviate poverty in the rural areas Mostly in Mindanao, where he establish business venture that brought about not only employment but peace where there had been years of unemployment, crime and inter-ethnic conflict.
Senen Bacani presently head 9 different companies and presently occupies the position of Chairman for different Inc., in the Philippines.
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If the air inside a balloon exerts a force of 1 N on an area of 0.5 m^2 what is the pressure inside the balloon
Answer:
2 Pascal (Pa)
Explanation:
Pressure is defined as the force acting per unit area. Mathematically, it is expressed as:
Pressure (P) = Force (F) / Area (A)
Given:
Force exerted by the air inside the balloon (F) = 1 N
Area of the balloon (A) = 0.5 m^2
Plugging in the given values into the formula for pressure, we get:
P = F / A
P = 1 N / 0.5 m^2
Using basic arithmetic, we can calculate the pressure inside the balloon:
P = 2 N/m^2
So, the pressure inside the balloon is 2 N/m^2, which is also commonly referred to as 2 Pascal (Pa) since 1 Pascal is equal to 1 N/m^2.
A car's bumper is designed to withstand a 5.04 km/h (1.4-m/s) collision with an immovable object without damage to the body of the car. The bumper cushions the shock by absorbing the force over a distance. Calculate the magnitude of the average force on a bumper that collapses 0.255 m while bringing a 830 kg car to rest from an initial speed of 1.4 m/s.
Answer:
the magnitude of the average force on the bumper is 3189.8 N
Explanation:
Given the data in the question;
In terms of force and displacement, work done is;
W =\(F^>\) × \(x^>\)
W = \(Fxcos\theta\) ------- let this be equation 1
where F is force applied, x is displacement and θ is angle between force and displacement.
Now, since the displacement of the bumper and force acting on it is in the same direction,
hence, θ = 0°
we substitute into equation 1
W = \(Fxcos(\) 0° \()\)
W = \(Fx\) ------- let this be equation 2
Now, using work energy theorem,
total work done on the system is equal to the change in kinetic energy of the system.
\(W_{net\) = ΔKE
= \(\frac{1}{2}\)mv² - \(\frac{1}{2}\)mu² --------- let this be equation 3
where m is mass of object, v is final velocity, u is initial velocity.
from equation 2 and 3
\(Fx\) = \(\frac{1}{2}\)mv² - \(\frac{1}{2}\)mu²
we make F, the subject of formula
F = \(\frac{m}{2x}\)( v² - u² )
given that mass of car m = 830 kg, x = 0.255 m, v = 0 m/s, and u = 1.4 m/s
so we substitute
F = \(\frac{830}{(2)(0.255)}\)( (0)² - (1.4)² )
F = 1627.45098 ( 0 - 1.96 )
F = 1627.45098 ( - 1.96 )
F = -3189.8 N
The negative sign indicates that the direction of the force was in opposite compare to the direction of the velocity of the car.
Therefore, the magnitude of the average force on the bumper is 3189.8 N
Water flows steadily from an open tank as shown in the figure. (Figure 1)The elevation of point 1 is 10.0 m , and the elevation of points 2 and 3 is 2.00 m . The cross-sectional area at point 2 is 4.80×10−2 m2 ; at point 3, where the water is discharged, it is 1.60×10−2 m2 . The cross-sectional area of the tank is very large compared with the cross-sectional area of the pipe. What is the gauge pressure p_gauge at point 2?
The gauge pressure at point 2 is 98100 Pa or 9.81 x\(10^4\) Pa, which is equivalent to 6.97 x\(10^4\) Pa when rounded to two significant figures.
Step 1: Identification of the given data:
- Elevation at point 1 (h1) = 10.0 m
- Elevation at points 2 and 3 (h2 = h3) = 2.00 m
- Cross-sectional area at point 2 (A2) = 0.0480 \(m^2\)
- Cross-sectional area at point 3 (A3) = 0.0160 \(m^2\)
Step 2: Determination of the discharge rate:
As mentioned earlier, the discharge rate (Q) is given by Q = A2 * v2, and since the velocity at point 2 (v2) is negligible, the discharge rate will be 0.
Therefore, the discharge rate is 0 cubic meters per second.
Step 3: Determination of the gauge pressure at point 2:
To find the gauge pressure at point 2, we'll use Bernoulli's equation:
P1 + (1/2)ρ\(v1^2\) + ρgh1 = P2 + (1/2)ρ\(v2^2\) + ρgh2
Since the velocity at point 2 (v2) is negligible, the term (1/2)ρ\(v2^2\) can be ignored.
The equation simplifies to:
Patm + ρgh1 = P2 + ρgh2
We want to find the gauge pressure at point 2, so we'll subtract the atmospheric pressure (Patm) from P2:
\(P_g_a_u_g_e\) = P2 - Patm
Now let's substitute the given values into the equation:
\(P_g_a_u_g_e\) = (Patm + ρgh1) - Patm
\(P_g_a_u_g_e\) = ρgh1
Plugging in the values:
\(P_g_a_u_g_e\) = (1000 kg/m^3) * (9.81 \(m/s^2\)) * (10.0 m)
\(P_g_a_u_g_e\) = 98100 Pa
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Two waves overlap each other such that the combined amplitude is smallerthan the amplitude of either wave. This is a good example of...
The amplitudes of the waves are added or subtracted when two waves overlap or superpose.
if the amplitude of the resultant wave is greater, it is called the constructive interference.
if the resultant amplitude is less than the amplitudes of the superposing waves, it is the destructive interference.
Here, the answer is destructive interference.
The Lamborghini Huracan has an initial acceleration of 0.80g. Its mass, with a driver, is 1510 kg. If an 80 kg passenger rode along, what would the car's acceleration be?
Answer:
a = 15.1 g
Explanation:
The relation between mass and acceleration is given by :
\(m\propto \dfrac{1}{a}\)
If a₁ = 0.80g, m₁ = 1510 kg, m₂ = 80 kg, we need to find a₂
So,
\(\dfrac{m_1}{m_2}=\dfrac{a_2}{a_1}\\\\a_2=\dfrac{a_1m_1}{m_2}\\\\a_2=\dfrac{0.8g\times 1510}{80}\\\\a_2=15.1g\)
So, the car's acceleration would be 15.1 g.
which one of the following is true about Tesite stress
It is defined as the stress that results in the elongation of the material
A hiker shouts towards another hiker that is 465 m away. The second hiker hears the noise 1.35 seconds later. The speed of the wave is 344.4m/s The frequency of the wave is 459.2 Hz. What is the period of the wave?
Answer:
Explanation:
The formula for calculating the period of a wave is expressed as
Period = 1/frequency
From the information given,
frequency = 459.2 Hz
Thus,
Period = 1/459.2
Period = 0.0022 seconds
Anybody what cloud is this
If the cloud is transparent, milky, thin layers, rain within the next 2 hours, then the cloud you are seeing is most likely a type of altocumulus cloud.
What is altocumulus clouds?Altocumulus clouds are generally characterized by their white or gray color, and can sometimes appear milky or translucent. They often form in layers, and can be thin or thick depending on the conditions.
Altocumulus clouds are typically found at medium altitudes, between 6,500 and 20,000 feet and are often associated with unsettled weather conditions.
While they don't necessarily indicate that rain is imminent, altocumulus clouds can be a sign that a change in the weather is on the way.
Thus, if it is likely to rain in the next 2 hours, then the cloud must be altocumulus clouds.
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What evidence did Wegener NOT use to support his idea of continental drift?
A. Mountain ranges on different continents lined up when coastlines were matched up.
B. Fossils of plants and animals in climates where their survival would have been impossible. C. The thickness of layers of ice in the Antarctic.
D. Rock strata on different continents lined up when coastlines were matched up.
The evidence that Wegener did NOT use to support his idea of continental drift is "the thickness of layers of ice in the Antarctic.
option C
What is Wegener's primary evidence for continental drift?Wegener's primary evidence for continental drift included the fit of the coastlines of different continents, the distribution of fossils across different continents, and the alignment of rock strata on different continents.
So the thickness of layers of ice in the Antarctic, was not used by Wegener to support his idea of continental drift. While this evidence is important for supporting the theory of glaciation, it is not relevant to the theory of continental drift.
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A toy racing car moves with constant speed around the circle shown below. When it is at point A its coordinates are x = 0, y = 3 m and its velocity is (6 m/s)ˆi. When it is at point B its velocity and acceleration are
The speed of the car is 6 m/s. The acceleration vector at point B has a direction of (-1, -1) and a magnitude of approximately 16.97 m/s².
We can start by finding the speed of the toy car. Since it is moving with constant speed around the circle, its speed is the same at points A and B. To find the speed, we can use the fact that the velocity vector has a magnitude equal to the speed:
|v| = √((6 m/s)²) = 6 m/s
So the speed of the car is 6 m/s.
Next, we can find the direction of the velocity vector at point B. We know that the car is moving around a circle centered at the origin, and that point B is on the circle. Therefore, the velocity vector at point B is tangent to the circle and perpendicular to the line connecting the origin to point B.
The line connecting the origin to point B is given by:
y = (0 - 3)/(0 - (-3)) * (x - (-3)) + 0
y = -x + 3
The velocity vector at point B is therefore perpendicular to this line, which means it has a direction given by the vector (1, -1).
Finally, we can find the acceleration vector at point B. Since the car is moving with constant speed around a circle, it is undergoing uniform circular motion, which means it is accelerating towards the center of the circle. The magnitude of the acceleration is given by:
a = v² / r
where v is the speed and r is the radius of the circle. We don't know the radius of the circle, but we can find it using the fact that point B lies on the circle. The distance from the origin to point B is:
d = √((-3 - 0)² + (0 - 3)²) = 3√(2) m
Therefore, the radius of the circle is:
r = d / 2 = (3√(2)) / 2 m
Substituting in the values for v and r, we get:
a = (6 m/s)² / ((3√(2)) / 2 m) ≈ 16.97 m/s²
To find the direction of the acceleration vector, we can use the fact that it is pointing towards the center of the circle. The center of the circle is at the origin, so the acceleration vector at point B is given by the vector (-3, 0) minus the vector (0, 3), which is:
(-3, 0) - (0, 3) = (-3, -3)
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A cyclist advances 38 km in 1 hour and 30 minutes. Your average speed was: Select one: 47 0 25.3 km/h OR 22 km/h OR 18 km/h OR 38 km/h
Hello..!
We initially apply the data to the problem.
Data:
D = 38kmT = 1.5hV = ?Then, we apply the formula that is.
Formula:
V = D/TFinally we develop the problem.
Developing:
V = 38km / 1.5hV = 25.3km/hTherefore the correct option is 25.3 kilometers per hour.
Answer:
Formula
V = d/tResolve
V = 38km / 1.5hV = 25.3 km/hHope this helped
What type of essay explains the results of a specific event?
A. Argument and support
B. Cause and effect
C. Chronological order
D. Comparison and contrast
Answer:
a
Explanation:
The final velocity of a truck is 74.0ft/s. If it accelerates at a range of 3.00ft/s^2 from an initial velocity of 5.00ft/s, how long will it take for it to attain its final velocity?
The final velocity of a truck is 74.0 ft/s, if it accelerates at a range of 3.00 ft/\(s^2\) from an initial velocity of 5.00 ft/s, then it will take the truck 23.67 seconds to attain its final velocity of 74.0 ft/s.
What is the calculation for the final velocity?v = u + at
Here, v =the final velocity, u =the initial velocity, a =the acceleration, and t =the time taken.
Substituting the given values, one can get,
74.0 ft/s = 5.00 ft/s + 3.00 ft/\(s^2\) × t
Solving for t, one gets,
t = (74.0 ft/s - 5.00 ft/s) / (3.00 ft/\(s^2\)) = 23.67 s (that is 23.67 seconds is needed to attain final velocity of 74.0 ft/s)
Hence, a truck needs 23.67 seconds time to attain its final velocity of 74.0 ft/s and this is the final velocity.
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A car with a momentum of 1200 kg.m/s with a mass of 600 kg hit a trash can which was on the side of the road,If the mass of trash can is 7 kg and the velocity of the car after the collision was 10 m/s, what will be the final velocity of the trash can ? What kind of collision this one is? Explain,
Answer:
Explanation:
m1*v1 = m2 v2
1200kgm/s=600kg*v1=(7+600)*v2
6000=607*v
v2=9.8m/s