Answer:
Mutualism - Bee to flower. Bee eats - flower reproduces
Commensalism - Tree Frog to plant or tree. Frog uses plant for protection.
Parasitism - Flea or tick to host. Parasite feeds off host.
Explanation:
Competition - relationship between organisms that strive for same resources. intraspecific and interspecific. ex) two males competing for mates.
predation - one organism kills and consumes another. wolf hunting moose, cat hunting mouse. venus fly trap killing insect
The mass energy equivalence shows that conservation of mass is a
restatement of —
A. the first law of thermodynamics.
B
Charles' Law.
C
Kirchoff's Law.
D
Newton's Second Law
Answer:
C
Explanation:
Answer:
the first law of thermodynamics.
Explanation:
what is the amount of force required to keep a 6 kg object that is in outer space moving with a constant velocity of 2 m/s is _ N
The amount of force required is (V) is v(t) = at.
What is velocity?
The speed of something in a given direction. Velocity is the directional speed of to an object in motion as an indication of its rate of the change in position as in observed from a particular to frame of reference and it's as measured by a particularly standard of time.
Sol-As per the newton's first law of motion.
Vt= vo+at
Here,
velocity at time t is v(t).
Initial velocity is vo.
Acceleration is a and the time is t.
The initial velocity is zero. Put the 0 for vo in above equation.
v(t) = 0+at
v(t)= at
Thus, the acceleration of a falling body (a), the time it takes to fall (t), and its instantaneous velocity when it hits the ground.
(V) is v(t) = at.
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Direction of the vector A
The direction of vector A which is parallel but opposite to the vector I is is 305°
Direction of vector I = 125°
Vector I makes a parallel line with vector A. Consider vector A and I to be collinear. Collinear lines makes up an angle of 180°
\(Angle_{A}\) + \(Angle_{I}\) = 180°
\(Angle_{A}\) + 125° = 180°
\(Angle_{A}\) = 55°
Direction of vector A = 360° - 55° = 305°
The direction of a vector is the angle, the vector creates with positive x-axis in counter clockwise direction.
Therefore, the direction of vector A is 305°
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1. Which of the following does not affect the resistance of a wire?
a) Length
b) Temperature
c) Usage time
d) Cross-sectional area
2. If a 12V battery is passing current through a resistor with a current of 2A, what is the value of the resistor?
a 24resistance
b) 14resistance
c) 10resistance
d) 6resistance
3. Describe the differences between series and parallel circuits.
4. A circuit contains resistors of 8resistance and 4resistance,what is combined resistance if the resistors are combined:
a) In series
b) In parallel
5. A 0.5A current is passing across three resistors of 8resistance, 4resistance and 12resistance that are linked in series.
What is the potential difference of the circuit?
6. Wire A has a resistance of 24resistance. If wire B is double the length and has a diameter four times as large as wire A, what is the resistance of wire B?
if chilled coke and hot tea are
kept together tea cools down but ko gets warm why
The driver of a car slams on the brakes, causing the car to slow down at a rate of 19.0ft/s2 as the car skids 195ft to a stop.
How long does the car take to stop?
What was the car's initial speed?
The time taken by the car to stop will be 4.53 seconds. The final velocity is zero and the initial velocity will be 86.08 ft./s.
What is velocity?Velocity is a vector quantity which measures distance covered per unit time. It is given that the acceleration of the car a is 19 ft/s². The distance it covered is 195 ft.
We have the expression for final velocity v initial velocity u and the time t with acceleration a as follows where the final velocity v for the car is zero.
0 = U - at
u = at.
The relation between time, acceleration and initial velocity with distance d is written as:
d = u t - 1/2 at²
= at² -1/2 at²
= 1/2 at²
Thus, t = √(2d/a)
= √(2×195 ft / 19 ft/s²)
= 4.53 s.
Initial velocity u = a t
= 4.53 s ×19 ft/s²
= 86.08 ft./s
Therefore, the initial velocity will be 86.08 ft./s.
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In Figure 10.13, the author illustrates a book being raised at constant speed. Which of the following statements are true? Select all that apply.
There is no change in the kinetic energy of the book.
The potential energy of the book-Earth system decreases.
The potential energy of the book-Earth system increases.
The potential energy of the book increases.
Answer:
There is no change in the kinetic energy of the book and the potential energy of the book-Earth system increases.
Explanation:
This is because velocity is constantly increasing. This supports the idea that the kinetic energy of the book doesn't change and that the potential energy of the book-Earth system increases.
The true statement is that ;there is no change in the kinetic energy of the book and the potential energy of the book-Earth system increases.
We have to note that from the law of conservation of mechanical energy, the sum of the kinetic and potential energy of the book at any point remains constant.
If the book is being raised at constant speed, the the true statement is that ;there is no change in the kinetic energy of the book and the potential energy of the book-Earth system increases.
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HI PLEASE HELP ON QUESTION ASAP USING AVERAGE (MEAN) TO ANSWER QUESTION! IF UR ANSWER AND EXPLAINATION IS CORRECT ILL RATE YOU FIVE STARS, A THANKS AND MAYBE EVEN BRAINLIEST. PLEASE MAKE SURE YOU ANSWER MY QUESTION USING AVERAGES.
1) a meal for 6 cost £12 per person. as it is one of the diners birthday , the other 5 decided to pay for his meal. how much do each of the five friends need to pay?
Each of the five friends needs to pay £12 to cover the cost of their own meals and contribute towards the birthday person's meal. Using mean allows us to distribute the cost equally among the friends, ensuring a fair division of expenses for the meal.
To determine how much each of the five friends needs to pay, we can use the concept of averages (mean) and divide the total cost by the number of people paying.
In this scenario, the total cost of the meal for 6 people is £12 per person. Since the other 5 friends have decided to pay for the birthday person's meal, they will collectively cover the cost of their own meals plus the birthday person's meal.
To calculate the total cost covered by the five friends, we can subtract the cost of one person's meal (since the birthday person's meal is being paid by the group) from the total cost. The cost of one person's meal is £12.
Total cost covered by the five friends = Total cost - Cost of one person's meal
= (£12 x 6) - £12
= £72 - £12
= £60
Now, to find out how much each of the five friends needs to pay, we divide the total cost covered by the five friends (£60) by the number of friends (5).
Amount each friend needs to pay = Total cost covered by the five friends / Number of friends
= £60 / 5
= £12
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what branch of physics does a dynamo fall in
Answer: A dynamo falls under the branch of physics known as electromagnetism or electromagnetic physics. Electromagnetism is the study of the relationship between electricity and magnetism and how they interact with each other.
A dynamo is a device that converts mechanical energy into electrical energy using the principles of electromagnetism. It typically consists of a rotating coil of wire (armature) within a magnetic field. As the coil rotates, the magnetic field induces an electric current in the wire through electromagnetic induction.
The operation of a dynamo involves the application of various electromagnetic principles, such as Faraday's law of electromagnetic induction and Lenz's law. Understanding the behavior and functioning of dynamos requires knowledge of electromagnetism, including the principles of magnetic fields, electric currents, electromagnetic induction, and the relationship between electricity and magnetism.
Therefore, the study and analysis of dynamos and their operation fall within the domain of electromagnetism, a branch of physics.
Explanation:)
A 4.0-g bead carries a charge of 20 μC. The bead is accelerated from rest through a potential difference V, and afterward the bead is moving at 3.0 m/s. What is the magnitude of the potential difference V? *
1 point
900 V
400 V
200 V
400 kV
Answer:
The magnitude of the potential difference is 900 V.
Explanation:
Given;
mass of the bead, m = 4.0 g = 0.004 kg
charge of the bead, Q = 20 μC = 20 x 10⁻⁶ C
final velocity of the bead, v = 3 m/s
What is the magnitude of the potential difference V?
Apply the principle of conservation of energy;
The electric potential energy at the beginning is equal to kinetic energy of the bead at the end of the journey.
qV = ¹/₂mv²
\(V = \frac{mv^2}{2q} \\\\V = \frac{0.004 \ \times \ (3)^2}{2(20 \times 10^{-6})}\\\\V = 900 \ V\)
Therefore, the magnitude of the potential difference is 900 V.
The magnitude of the potential difference (V) is equal to 900 Volts.
Given the following data:
Mass of bead = 4.0 g to kg = 0.004 kgCharge of bead = 20 μC = \(20 \times 10^{-6} \;C\)Final velocity of bead = 3 m/sTo determine the magnitude of the potential difference (V):
How to calculate the potential difference (V).We would apply the law of conservation of energy, which states that the electric potential energy possessed by the bead at the beginning is equal to the kinetic energy possessed by the bead at the end of the journey:
\(qV = \frac{1}{2} mv^2\\\\V = \frac{\frac{1}{2} mv^2}{q} \\\\V = \frac{\frac{1}{2} \times 0.004 \times 3.0^2}{20 \times 10^{-6}} \\\\V = \frac{ 0.002 \times 9}{20 \times 10^{-6}}\)
V = 900 V.
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A 1.50x103-kilogram car is traveling east at 30 meters per second.
The brakes are applied and the car is brought to rest in 9.00 seconds.
A. Calculate the magnitude of the total impulse applied to the car to
bring it to rest. [Show all work, including the equation and
substitution with units.]
B. State the direction of the impulse applied to the car. [East or
West?]
PLEASE HELP!!!!
Answer:
\(39000\ \text{kg m/s}\)
West
Explanation:
m = Mass of car = \(1.3\times 10^{3}\ \text{kg}\)
t = Time = 9 seconds
u = Initial velocity = 30 m/s
v = Final velocity = 0
Impulse is given by
\(J=m(v-u)\\\Rightarrow J=1.3\times 10^3(0-30)\\\Rightarrow J=-39000\ \text{kg m/s}\)
The magnitude of the total impulse applied to the car to bring it to rest is \(39000\ \text{kg m/s}\).
The direction is towards west as the sign is negative.
what does newton's 3rd law explain?
Answer:
C
Explanation:
(a) Express the following in their respective units
12nm to pm
Answer:
To convert nanometers (nm) to picometers (pm), you need to multiply the value by 1,000. Therefore, to convert 12 nanometers to picometers, you would perform the following calculation:
12 nm * 1,000 pm/nm = 12,000 pm
So, 12 nanometers is equal to 12,000 picometers.
Draw motion diagrams for the following items. (Submit a file with a maximum size of 1 MB.)
(a) an object moving to the right at constant speed
(b) an object moving to the right and speeding up at a constant rate
(c) an object moving to the right and slowing down at a constant rate
(d) an object moving to the left and speeding up at a constant rate
(e) an object moving to the left and slowing down at a constant rate
(f) How would your drawings change if the changes in speed were not uniform; that is, if the speed were not changing at a constant rate?
The motion diagram for A-E is attached.
F) The drawings will change to reflect how the spacings of the respective positions are changing more irregularly.
What are motion diagrams?A motion diagram is an image that represents the position of an object at various relatively spaced time intervals.
The art of using motion diagrams is called kinematics. it is useful for detecting the unknown speed of objects. For example, the movement of a rocket from earth to space, the movement of a ship over the water.
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Are the results of the investigation described below valid? If not, what should the scientists do next? Explain your reasoning.
Passage A scientist wrote a report that communicates the steps he performed in an investigation, the data he gathered, and his conclusions. A second scientist used the report to carry out the same investigation. However, her results were very different.
In the case described above, there are at least three possible scenarios:
The first research or experiment was correct but wrongly documentedThe first experiment was correct and correctly documented; andThe second research was not properly executed according to the documentation of the first researcher.In any of the above cases, the correct step to take, if it is possible is for both scientists to meet, review notes and jointly execute a third investigation. This is because, in science, the guesswork only happens during hypothesis formulation.
Once a principle has been established via experimentation and properly documented, the same research can be replicated in any other location by any other person with the end results being the same if they all follow the exact report documented when the investigation was deemed successful.
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a metal ion (x) with a charge of 3+ is attracted to a non metal ion (z) with a compound charge of 4-. which of these formulas represents the resulting compound?
A metal ion (X) with a charge of 3+ is attracted to a non metal ion (Z) with a compound charge of 4-. The formula of resulting compound is X₄Z₃.
What is chemical compound?A chemical compound is a substance made of numerous similar molecules (or molecular entities) joined by chemical bonds and comprising atoms from various chemical elements.
Therefore, a molecule made up of only one type of atom is not a compound. Chemical reactions, which may entail interactions with other molecules, can change a compound into a distinct substance. Atomic bonds may be shattered or new ones created during this process.
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4) A force of 100 N is applied to the wrapped present, giving it an
acceleration of 2 m/s2. What is the mass of the object?
Please help me nowwww!!!!!!!!
Answer:
50kg
Explanation:
Force = 100N
Acceleration = 2 m/s2
Mass = ?
From formula,
Force = Mass * Acceleration
100 = Mass * 2
Mass = 50 kg
Hence ,mass of object is 50 kg.
In short,Force(F) = 100N
Acceleration(a) = 2 m/s2
Mass(m) = ?
We know,
F = ma
100 = m x 2
m = 100/2
m = 50kg
Hence ,mass of object is 50 kg.
Answer:
50 kg
Explanation:
Force(F) = 100N
Acceleration(a) = 2 m/s2
Mass(m) = ?
We know,
F = ma
100 = m x 2
m = 50kg
hence ,mass is 50 kg.
7. Imagine you could look at the flashlight from behind your object, looking
from the darkest and lightest parts of the object's shadow. How much of
the light source do you think you could see from each location?
From the darkest part of the object's shadow, you would be able to see a small amount of the light source. There would be a small amount of light that is visible, but it would be faint. On the other hand, from the lightest part of the shadow, you would be able to see much more of the light source. The light source would be far brighter and more visible, and you would be able to identify the source of the light.
Hope this helps! Have a nice day. :)
for a certain chemical reaction, the reactants contain 52 kj of potential energy and the products contain 32 kj how much energy is absorbed or released by the reaction. A.84 kj is released B.20 kj is released C. 20 kj is absorbed D.84 kj is absorbed
Answer:
B. 20 kj is released
Explanation:
A.P.E.X. CST
Blood pressure is usually measured by wrapping a closed air-filled jacket equipped with a pressure gage around the upper arm of a person at the level of the heart. Using a mercury manometer and a stethoscope, the systolic pressure (the maximum pressure when the heart is pumping) and the diastolic pressure (the minimum pressure when the heart is resting) are measured in mmHg. The systolic and diastolic pressures of a healthy person are about 120 mmHg and 80 mmHg, respectively, and are indicated as 120/80. Express both of these gage pressures in kPa, psi, and meter water column.
Take the densities of water and mercury as 1000 kg/m3 and 13,600 kg/m3, respectively.
The high and low pressures, in kPa, are kPa and kPa, respectively.
The high and low pressures, in psi, are psi and psi, respectively.
The high and low pressures, in meter water column, are m and m, respectively.
Answer:
a) High and low pressures are 15.999 kilopascals and 10.666 kilopascals, respectively.
b) High and low pressures are 2.320 pounds per square inch and 1.547 pounds persquare inch, respectively.
c) High and low pressures are 1.632 meters water column and 1.088 meters water column, respectively.
Explanation:
a) High and low pressures in kilopascals:
101.325 kPa equals 760 mm Hg, then, we can obtain the values by a single conversion:
\(p_{high} = 120\,mm\,Hg\times \frac{101.325\,kPa}{760\,mm\,Hg}\)
\(p_{high} = 15.999\,kPa\)
\(p_{low} = 80\,mm\,Hg\times \frac{101.325\,kPa}{760\,mm\,Hg}\)
\(p_{low} = 10.666\,kPa\)
High and low pressures are 15.999 kilopascals and 10.666 kilopascals, respectively.
b) High and low pressures in pounds per square inch:
14.696 psi equals 760 mm Hg, then, we can obtain the values by a single conversion:
\(p_{high} = 120\,mm\,Hg\times \frac{14.696\,psi}{760\,mm\,Hg}\)
\(p_{high} = 2.320\,psi\)
\(p_{low} = 80\,mm\,Hg\times\frac{14.696\,psi}{760\,mm\,Hg}\)
\(p_{low} = 1.547\,psi\)
High and low pressures are 2.320 pounds per square inch and 1.547 pounds persquare inch, respectively.
c) High and low pressures in meter water column in meters water column:
We can calculate the equivalent water column of a mercury column by the following relation:
\(\frac{h_{w}}{h_{Hg}} = \frac{\rho_{Hg}}{\rho_{w}}\)
\(h_{w} = \frac{\rho_{Hg}}{\rho_{w}}\times h_{Hg}\) (Eq. 1)
Where:
\(\rho_{w}\), \(\rho_{Hg}\) - Densities of water and mercury, measured in kilograms per cubic meter.
\(h_{w}\), \(h_{Hg}\) - Heights of water and mercury columns, measured in meters.
If we know that \(\rho_{w} = 1000\,\frac{kg}{m^{3}}\), \(\rho_{Hg} = 13600\,\frac{kg}{m^{3}}\), \(h_{Hg, high} = 0.120\,m\) and \(h_{Hg, low} = 0.080\,m\), then we get that:
\(h_{w, high} = \frac{13600\,\frac{kg}{m^{3}} }{1000\,\frac{kg}{m^{3}} } \times 0.120\,m\)
\(h_{w, high} = 1.632\,m\)
\(h_{w, low} = \frac{13600\,\frac{kg}{m^{3}} }{1000\,\frac{kg}{m^{3}} } \times 0.080\,m\)
\(h_{w, low} = 1.088\,m\)
High and low pressures are 1.632 meters water column and 1.088 meters water column, respectively.
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A 4.0-kg mass is moving to the right at 3.0 m/s. An 8.0 kg mass is moving to the left at 2.0 m/s. If after collision the two
masses join together, what is their velocity after collision?
O-0.33 m/s
O-0.20 m/s
O +1.4 m/s
O +2.3 m/s
Answer:
- 0.33 m/s
Explanation:
An illustration is shown above,
In this case, since the two objects move in opposite directions before collision, then move together, the formula to be used is,
m1u1 - m2u2 = (m1 + m2)v
Where,
m1 = mass of the first object
u1 = initial velocity of the first object
v1 = final velocity of the first object
m2 = mass of the second object
u2 = initial velocity of the second object
v2 = final velocity of the second object
Therefore,
(4.0 • 3.0) - (8.0 • 2.0) = (4.0 + 8.0)v
12 - 16 = 12v
-4 = 12v
Divide both sides by 12,
-4 / 12 = 12v / 12
-1 / 3 = v
v = -0.33 m/s
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what determines the size of a launch window? answer specifically and detail.
Explanation:
The size of a launch window is determined by a variety of factors, including the position of the launch site, the desired orbit, the position of the destination, and the characteristics of the spacecraft being launched.
One of the most important factors is the position of the launch site relative to the desired orbit. The launch site must be positioned in such a way that the rocket can achieve the required velocity and trajectory to reach the desired orbit. The angle and speed at which the rocket is launched are also crucial, as they affect the amount of fuel required and the trajectory of the rocket.
The position of the destination is another factor that affects the size of the launch window. For example, if the spacecraft is bound for a planet that is moving in its orbit, the launch window must be adjusted to account for the changing position of the planet.
In addition, the characteristics of the spacecraft being launched, such as its size, weight, and propulsion system, can also affect the size of the launch window. A larger spacecraft may require more fuel and a longer burn time, which may limit the available launch window.
Overall, the size of a launch window is determined by a complex set of factors, including the position of the launch site, the desired orbit, the position of the destination, and the characteristics of the spacecraft being launched. Launch planners use sophisticated computer models and simulations to calculate the optimal launch window based on these factors.
How long does it take for a ball thrown vertically upward at 25m/s to rise?
Answer:
2.55 s
Explanation:
To know how long does it take to rise, we will use the following equation:
\(v_f=v_i+at\)Where:
vf is the final velocity, so at the highest point is 0 m/s
vi is the initial velocity, in this case, 25 m/s
a is the acceleration due to gravity, so a = 9.8 m/s²
And t is the time that it takes to rise.
Therefore, we can replace the values and solve for t as:
\(\begin{gathered} 0=25-9.8t \\ 9.8t=25 \\ t=\frac{25}{9.8} \\ t=2.55\text{ s} \end{gathered}\)So, the answer is 2.55 s
What is physics and explain elements of physics
Physics is the branch of science that deals with mass , time , space, energy and their inter-relations .
The application of
How tall is Mount Everest?
Answer: 29,035 feet
Explanation:
Please choose all that describe a series circuit.
(If you did not attend live session and take notes, make sure you watch the recording before taking this assessment.)
Question 1 options:
The electrons have multiple pathways to travel.
Each time there is damage (break) in any one of the resistors the entire circuit will not function.
The amount of current is the same at every point in a series circuit.
If there are many bulbs in a circuit with a battery (cell), it is very likely that the light will be brighter with each additional bulb.
A series circuit has no resistors.
If one device in a series circuit burns out or is disconnected, the entire circuit is broken
All of the parts of a series circuit—power source, wires, and devices—are connected along the same pathway
Answer:
b d a
Explanation:
Superconducting cables conduct current with no resistance. Consequently, it is possible to pass huge currents through the cables, which, in turn, can produce very large forces. Two straight, parallel superconducting cables 4.5 mm apart (between centers) carry equal currents of 15000 A in opposite directions. Find the magnitude and direction of the force per unit length exerted by one conductor on the other. Should we be concerned about the mechanical strength of these wires
Answer:
Explanation:
Force per unit length between two cables at distance d carrying current I₁ and I₂ can be given by the following expression .
F = 10⁻⁷ x 2I₁ I₂ / d
I₁ = I₂ = 15000 A
F = 10⁻⁷ x 2I₁ I₂ / d
= 10⁻⁷ x 2 x 15000² / 4.5 x 10⁻³ m
= 10000 N .
It will be repelling force ie they will repel each other because current is in opposite direction .
No , we should not be concerned about mechanical strength because force does not depend on it .
A force F = 56 N is pushing on a block downward of mass m = 4.0 kg as it moves on a horizontal surface. The block is accelerating to the right with an acceleration a.
The coefficient of friction between the block and the surface is
μk = 0.60. Use g = 9.8 m/s2.
Apply Newton's laws in component form along the x and y direction and find the magnitude of the acceleration in m/s2.
Hint: Use the FBD in the previous question and apply Newton's laws in component form along the x and the y direction.
Enter your numerical answer with two decimal places with no units.
Answer:Correct option is B)
In horizontal direction, two forces are acting on the block : 100 N force and friction force (f)
f=μN=μmg=0.5×10×10=50N
So, net force acting on the block in horizontal direction = 100 N-50 N = 50 N
acceleration of the block = Net force / mass of block = 50 N/10 kg = 5 ms
−2
Solve any question of Laws of Motion with:-
Explanation:
Three parallel sheets of charge, large enough to be treated as infinite sheets, are perpendicular to the x-axis. Sheet A has surface charge density σA = +8.00 nC/m^2. Sheet B is 4.00 cm to the right of sheet A and has surface charge density σB = -4.00 nC/m^2. Sheet C is 4.00 cm to the right of sheet B, so is 8.00 cm to the right of sheet A, and has surface charge density σC = +6.00 nC/. What are the magnitude and direction of the resultant electric field at a point that is midway between sheets B and C, or 2.00 cm from each of these two sheets?
Answer:
E_{total} = -1.13 10² N / C
the sign indicates that the electric field points to the left
Explanation:
Let's start this exercise by looking for the electric field created by an infinite leaf, for this let's use Gauss's law
\(\Phi_E\) = ∫ E. dA = \(q_{int}\) /ε₀
Let's define a Gaussian surface that is a cylinder, the normal to the faces of the cylinder is parallel to the field created by the face inside the surface, the normal of the cylinder walls is perpendicular to the electric field so its scalar product is zero
\Phi_E = E (2A) = q_{int} /ε₀
the number 2 is due to having two faces
E = \(\frac{q_{int} }{A} \ \frac{1}{2 \epsilon_0 }\)
the surface charge density is
σ= Q / A
we substitute
E = \(\frac{\sigma }{2 \epsilon_o}\)
we can see that the field is independent of the distance.
Let's write the field for each leaf, remember that the field is salient for positive charges
sheet 1
E₁ = \(+ \frac{\sigma_1}{2 \epsilon_o}\)
sheet 2
E₂ = \(- \frac{\sigma_2}{2 \epsilon_o}\)
sheet 3
E₃ = \(+ \frac{\sigma_3}{2 \epsilon_o}\)
at the point the Field of sheet 1 points to the right,
the field on sheet 2 points to the left and the field on sheet 3 points to the left. Tthe electric field at the midpoint is
E_ {total} = E₁ - E₂ - E₃
E_ {total} = \(\frac{1}{2 \epsilon_o}\) (σ₁ - σ₂ -σ₃)
calculate
E_total = \(\frac{1}{2 \ 8.85 \ 10^{-12}}\) (8.00 -4.00 -6.00) 10⁻⁹
E_total = -1.13 10² N / C
the sign indicates that the electric field points to the left
The tram's motor operates at 550 V and consumes 70 A of electricity for 3 hours. Calculate the work done by the motor.
Given:
• Voltage, V = 550 V
,• Current, I = 70 A
,• Time, t = 3 hours
Let's calculate the work done by the motor.
To calculate the work done, first find the amount of energy used.
\(P=I*V\)Thus, we have:
\(\begin{gathered} P=70*550 \\ \\ P=38500\text{ Watts} \end{gathered}\)Now, to calculate the work done by the motor in 3 hours, apply the formula:
\(W=P*t\)Where:
P is the power in watts = 38500 W
t is the time in seconds = 3 x 60 minutes x 60 seconds
Hence, we have:
\(\begin{gathered} W=38500*3*60*60 \\ \\ W=38500*10800 \\ \\ W=415800000\text{ J} \\ \\ W=415.8\times10^6\text{ J} \\ \\ W=415.8\text{ MJ} \end{gathered}\)Therefore, the work done by the motor is 415.8 Mega Joules.
ANSWER:
C. 415.8 MJ