The figure shows an arrangement of a very large, charged disk of radius R = 0.2 m and a dipole such that the net electric field at the point marked 'x', at a distance d=3.2 cm from the center of the dipole, is zero. The magnitude of the dipole moment of the dipole is 1.5e-12 C.m. (Figure provided in the photo)
A. Is the disk negatively charged or positively charged?
B. Calculate the charge density of the disk.
C. Calculate the charrge on the disk.
Answers
A. We must examine the direction of the electric field the disk produces in order to identify whether it is negatively or positively charged.
If a charged disk is positively charged, the electric field it produces is directed away from the disk, and if it is negatively charged, the electric field is directed toward the disk.
The electric field owing to the disk must be directed away from the disk since the electric field due to the dipole at point "x" is directed toward the positive charge, proving that the disk is positively charged.
B. The electric field at point 'x' due to the disk can be calculated using Gauss's law, which gives us:
E = σ/(2ε0),
σ/(2ε0) = 0
σ = 0
This indicates that the disk has zero charge density.
C. Since the disk has zero charge density, the charge on the disk is also zero. Therefore, there is no charge on the disk.
Describe the dipole moment using an example.The symmetry of the molecules is established using the dipole moment. The molecules would not be symmetrical and have some dipole moment if they contained two or more polar links.
For illustration, H2O = 1.84 D and CH 3Cl, or methyl chloride, = 1
Why does a dipole moment exist?When there is a separation of charge, dipole moments happen.
Dipole moments, which result from variations in electronegativity, can happen between atoms in a covalent link or between two ions in an ionic bond.
The dipole moment increases with the difference in electronegativity.
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Related Questions
a boy drops a coin down a well that is 225m deep. how long does it take the coin to hit the bottom of the well?
Answers
the time is takes for the coin to hit the bottom of the well. t to obtain 6.87 seconds.
A brief explanation of time: what is it?Time is a continuous series of events that happen one after another, starting in the past and continuing into the present and the future, according to the definition of time in mathematics. The length of an event, the time between them, or even the sequence of occurrences can all be quantified, measured, or compared using the concept of time.
What does "time" mean in science?Time, according to physicists, is the flow of past occurrences into the present and the future. A system is essentially timeless if it is unchanging. The fifth dimension of reality, time, can be thought of as the means by which three-dimensional space events are described.
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A 5.3-cm -thick layer of oil (n=1.46) is sandwiched between a 1.5-cm -thick sheet of glass and a 2.3-cm -thick sheet of polystyrene plastic (n=1.59). How long (in ns ) does it take light incident perpendicular to the glass to pass through this 9.1- cm -thick sandwich?
Answers
Time taken to incident light perpendicular to glass to pass through this 9.1 cm thick sandwich is 0.399 ns.
How long it took to calculate:Being aware of
Layer thickness / light speed equals the amount of time required.
Also,
V is equal to the product of the sound speed and the refractive index.
Now
T1 = 0.05*1.46/3*10^8 = 2.43*10^-10 s
t2 = 0.01*1.5/3*10^8 = 5*10^-11 s
t3 = 0.02*1.59/3*10^8 = 1.06*10^-10 s
So,
Total time is equal to 2.43*10-10, 5*10-11, and 1.06*10-10 s, or 0.399*10-9 s.
= 0.399 ns
Light Speed:When a light beam passes through a certain media, its speed in that medium may be determined using the light speed in vacuum and the medium's refractive index. With the use of the medium's light speed, the value of the amount of time needed to travel a particular distance can be determined.
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if five violins sound the same note of 1000Hz, each at the same sound pressure level of 60 dB, what is their total intensity in decibels, compared with the violin alone?
Answers
When five violins play the same note with a sound pressure of 60 dB, the total intensity is 66.99 dB, as opposed to just one violin.
What is an illustration of pressure?Holding a knife against a fruit piece will demonstrate pressure in an easy way. It won't cut any surface of the fruit if you press the flat part of a knife against it. A sizable area is affected by the force.
What 2 sorts of pressure are there?Absolute and gauge pressure are the two fundamental forms of pressure, and the reference pressure, which serves as a comparison between them, is what distinguishes them. Someone may find the lingo used to convey the chemical properties of a pressurized system to be a little confusing.
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A 0.140 kg baseball is pitched toward home plate at 30.0 m/s. The batter hits the ball back (opposite direction) to the pitcher at 44.0 m/s. Assume that towards home plate is positive. If the ball was in contact with the bat for 0.002 seconds, what is the average force the bat exerts on the ball?
−9700 N
−1000 N
−4700 N
−5200 N
Answers
The average force the bat exerts on the ball is -5200 N. This can be calculated using the equation F = Δp/Δt, where F is the average force, Δp is the change in momentum (pf-pi), and Δt is the time interval. In this case, Δp = m * (vf - vi) = 0.14 kg * (44 m/s - 30 m/s) = 5.4 kgm/s, and Δt = 0.002 s. Thus, F = 5.4 kgm/s / 0.002 s = -5200 N.
The wind blows a lawn chair that weighs 4 kg into a fence with a force of 8 N. How much reaction force does the fence exert on the chair?
Answers
A 4 kilogram lawn chair that is blown into a fence by the wind experiences an 8 N reaction force from the fence.
What does "force" actually mean?Physics defines force as: The pushing or pulling of a massed object affects its velocity. An agent with the ability to change a body's resting and moving condition is known as an external force. It has a size and a movement.
What exactly are force and its unit?Force: Force is indeed a physical factor that alters or has the potential to alter an object's state of rest and motion as well as its shape. Newton is the SI unit of force.
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You purchase a bag of potato chips at the grocery store. You forget you have them and leave the unopened bag on the floor of your car. The next day you go out to your car in the sweltering heat, 105 degrees. The bag of potato chips is inflated like a balloon and looks like it could pop! Why? How does this relate to Charles’ Law?
Answers
The bag of potato chips inflates due to the increase in temperature inside the car. As the temperature rises, the air molecules inside the bag gain energy and begin to move around faster, increasing the pressure inside the bag. Since the bag is airtight, the pressure cannot escape, causing the bag to expand.
What is Charles’ Law?
Charles' Law is a gas law that describes the relationship between the volume and temperature of a gas, assuming that the pressure and amount of gas remain constant. It states that the volume of a fixed amount of gas at a constant pressure is directly proportional to its absolute temperature.
The potato chip bag expands as a result of the car's increased temperature. The air molecules inside the bag gather energy as the temperature rises and start to travel more quickly, which raises the pressure inside the bag. The bag expands because the pressure within cannot leave because it is airtight.
Charles' Law, which states that the volume of a gas is precisely proportional to its absolute temperature for a set amount of gas at a constant pressure, can be used to explain this phenomena. If the pressure is constant, the volume of the gas increases along with the temperature.
Since the air inside a bag of potato chips behaves like a gas, when the temperature rises, the volume of air inside the bag also expands, increasing the pressure inside the bag and causing it to inflate.
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45.0J of work is done on a 1.50kg ball at rest. What is the velocity of the ball?
30.0m/s
5.48m/s
60.0m/s
7.75m/s
Answers
Answer:
7.75 m/s.
Explanation:
We can use the work-energy principle to solve this problem. The principle states that the work done on an object is equal to the change in its kinetic energy:
W = ΔK
where W is the work done, ΔK is the change in kinetic energy.
In this case, the work done on the ball is 45.0 J. Since the ball is initially at rest, its initial kinetic energy is zero. Therefore, the change in kinetic energy is:
ΔK = Kf - Ki = 1/2 mv^2 - 0
where Kf is the final kinetic energy, Ki is the initial kinetic energy, m is the mass of the ball, and v is its velocity.
Substituting the given values, we get:
45.0 J = 1/2 (1.50 kg) v^2
Solving for v, we get:
v^2 = (2 x 45.0 J) / (1.50 kg)
v^2 = 60.0
v = √60.0
v ≈ 7.75 m/s
Therefore, the velocity of the ball is approximately 7.75 m/s.
a professional football player kicks a football eith an initial velociry v= (6.0 m/s) x + (20.0 m/s) y determine how long the football stays in yhe air as well as the horizontal displacement
Answers
The horizontal displacement is given by the product of the horizontal component of the initial velocity and the time of flight, so it is 6 m/s x 0.828 s = 4.968 m.
What is initial velocity?Initial velocity is the speed of an object at the start of its motion. It is usually represented by the letter u in equations. Initial velocity is important in determining the final velocity, displacement, and acceleration of an object after a certain amount of time.
The horizontal displacement is simply the product of the horizontal component of the initial velocity, 6 m/s, and the time the ball is in the air. To determine the time the ball stays in the air, we can use the formula for the time of flight of an object under the influence of gravity:
t = 2v sin θ / g
Where t is the time of flight, v is the initial velocity, θ is the angle of the initial velocity vector with respect to the horizontal, and g is the acceleration due to gravity (9.8 m/s2).
In this case, the initial velocity vector is (6.0 m/s) x + (20.0 m/s) y, so the angle is given by the inverse tangent of the ratio of the y-component to the x-component, which is inverse tangent (20.0/6.0) = 77.4°.
Substituting the values into the equation, we get:
t = 2 (6.0 m/s) sin 77.4° / 9.8 m/s2 = 0.828 s
The horizontal displacement is given by the product of the horizontal component of the initial velocity and the time of flight, so it is 6 m/s x 0.828 s = 4.968 m.
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an electric kettle takes 2kw at 240v. Calculate the current and the resistance of the heating element
Answers
The power output is given 2000 watt and voltage is 240 v. Then the current through the heating element is 8.3 A and the resistance is 29 ohms.
What is power ?The power used by an object is the rate of its work done or energy. It is the energy divided by time. The power output in a circuit is the product of the potential difference V and current I.
P = I V
Given,
P = 2 kw = 2000 W
v = 240 V.
Then I = P/v
I = 2000 w/240 v = 8.3 A.
According to Ohm's law, voltage v is the product of the current and resistance through the material.
hence,
V = I R
then, R = V/I
R = 240 V/8.33 A
= 29 Ω.
Therefore, the current and resistance through the heating element are 8.3 A and 29 ohms respectively.
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Which falling object has the least kinetic energy when it collides on the ground?
A. 120 Kg of sand falling 12 m/s
B. 12 Kg of water falling at 10 m/s
C. 12 Kg of sand falling at 8 m/s
D. 120 Kg of water falling at 12 m/s
Answers
The object with the least kinetic energy, given the above instances is water with a mass of 12 Kg falling at 10 m/s (option B)
How do I know which object has the least kinetic energy?To know the object which has the least kinetic energy, we shall determine the kinetic energy of each objects. This is illustrated below:
For sand (Option A):
Mass (m) = 120 KgVelocity (v) = 12 m/sKinetic energy (KE) =?KE = ½mv²
KE = ½ × 120 × 12²
KE = 8640 J
For water (Option B):
Mass (m) = 12 KgVelocity (v) = 10 m/sKinetic energy (KE) =?KE = ½mv²
KE = ½ × 12 × 10²
KE = 60 J
For sand (Option C):
Mass (m) = 12 KgVelocity (v) = 8 m/sKinetic energy (KE) =?KE = ½mv²
KE = ½ × 12 × 8²
KE = 384 J
For water (Option D):
Mass (m) = 120 KgVelocity (v) = 12 m/sKinetic energy (KE) =?KE = ½mv²
KE = ½ × 120 × 12²
KE = 8640 J
From the above calculations, it is evident that the water with a mass of 12 Kg falling at 10 m/s has the least kinetic energy. Thus, the correct answer is option B
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PLEASE HELP ME THIS IS FOR GYM! YOU WILL MAKE MY DAY FOR WHOEVER DOES THIS.
In a three (3) page, double spaced, typed paper, discuss why cardiovascular fitness and flexibility are important factors in maintaining a healthy lifestyle. In this assignment, define cardiovascular fitness and flexibility. Research two (2) cardiovascular fitness activities and explain why these activities are important in maintaining good health. Finally, discuss in detail several flexibility exercises a person should complete before engaging in physical activity.
Answers
Cardiovascular fitness and flexibility are both important factors in maintaining a healthy lifestyle because they contribute to overall physical health and well-being.
Why are cardiovascular fitness and flexibility important factors in maintaining a healthy lifestyle?Cardiovascular fitness refers to the ability of the heart, lungs, and circulatory system to deliver oxygen-rich blood to the body's tissues during physical activity. Regular cardiovascular exercise, such as running, swimming, or cycling, can improve heart health, lower blood pressure, reduce the risk of heart disease, and improve overall fitness and endurance.
In combination, cardiovascular fitness and flexibility can provide a foundation for good physical health, allowing individuals to engage in a wide range of physical activities and enjoy an active lifestyle. Regular exercise that includes both cardiovascular fitness and flexibility can also help improve mental health and reduce the risk of chronic diseases, such as obesity, type 2 diabetes, and some forms of cancer. Overall, maintaining good cardiovascular fitness and flexibility is an important part of a healthy lifestyle.
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What is the total work wtot done on the block by all forces as the block moves a distance l up the incline? (include only the work done after the block has started moving, not the work needed to start the block moving from rest. ).
Answers
To calculate the total work done on the block by all forces as it moves a distance "l" up the incline, we need to consider the work done by each force separately.
What is the total work done on the block by all forces as the block moves a distance l up the incline?Assuming that the block is moving up the incline with a constant velocity, the net force on the block is zero. Therefore, the work done by the net force on the block is also zero.
However, there are two forces acting on the block: the force of gravity (Fg) and the force of friction (Ff). Since the block is moving up the incline, the direction of the frictional force is opposite to the direction of the displacement of the block, so the work done by the force of friction is negative.
The work done by the force of gravity is given by:
Wg = Fg * d
where Fg is the force of gravity acting on the block and d is the distance moved by the block in the direction of the force of gravity. Since the block is moving up the incline, the distance moved by the block in the direction of the force of gravity is l sinθ, where θ is the angle of inclination of the incline.
The work done by the force of friction is given by:
Wf = Ff * d
where Ff is the force of friction acting on the block and d is the distance moved by the block in the direction of the force of friction. Since the block is moving up the incline, the distance moved by the block in the direction of the force of friction is also l sinθ.
Since the force of friction is opposing the motion of the block, the work done by it is negative:
Wf = -μk * N * l sinθ
where μk is the coefficient of kinetic friction, N is the normal force exerted on the block by the incline and l sinθ is the distance moved by the block in the direction of the force of friction.
Therefore, the total work done on the block by all forces as it moves a distance "l" up the incline is:
Wtot = Wg + Wf
= Fg * l sinθ - μk * N * l sinθ
= (m * g * sinθ) * l sinθ - μk * (m * g * cosθ) * l sinθ
= (m * g * sinθ - μk * m * g * cosθ) * l sinθ
where m is the mass of the block, g is the acceleration due to gravity.
So, the total work done on the block by all forces as it moves a distance "l" up the incline is (m * g * sinθ - μk * m * g * cosθ) * l sinθ.
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Explain why it is so difficult to ride a bicycle in soft sand.
Answers
Soft sand makes it challenging to ride a bicycle since the tires can't generate enough friction. The bicycle struggles to move ahead as a result, and its tires sink.
The danger of ridding a bicycle in soft sandRiding a bicycle on soft sand poses a risk of the vehicle being stuck and challenging to move. Injuries might result if the rider loses balance and falls off the bicycle. The frame, tires, and other parts of the bicycle could also be harmed by the sand.
Furthermore, sand, dirt, wood chips, deep pea gravel, soft grass, and snow all drastically alter your speed. Sand, however, can be the most challenging of all of them because you typically enter the area quickly from grass or another hard surface.
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Which weighs more, a liter of ice or a liter of water?
Answers
Answer:
Water is denser so a liter of water weighs more than a liter of ice
A 75.0 kg ladder that is 3.00 m long is placed against a wall at an angle theta. The center of gravity of the ladder is at a point 1.20 m from the base of the ladder. The coefficient of static friction at the base of the ladder is 0.800. There is no friction between the wall and the ladder. What is the vertical force of the ground on the ladder?
Answers
The vertical force is given as 735.75 N
How to solve for the vertical forceGiven that there is no friction existing between the wall and the ladder, we would have
w - n = 0
w is the weight of thios ladder
while N is the vertical force that acts on it
n = w
the formula for n = mg
this is mass of ladder * the gravitational constant
= 75.0 kg ladder * 9.81
= 735.75 N
written as substituting the weight of the ladder, W = 75.0 kg * 9.81 m/s^2 = 735.75 N
Therefore the vertical force is givem as 735.75 N
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Please help (50 points and Brainly)
Answers
The speed of the basketball is 14.4 m/s if its kinetic energy is 109 J.
What is kinetic energy?Kinetic energy is the energy possessed by an object due to its motion. It is defined as the energy that an object has because of its velocity, and it depends on the mass of the object and its speed. The formula for kinetic energy is [tex]K = 1/2 mv^2,[/tex] where K is kinetic energy, m is the mass of the object, and v is its velocity.
The greater the mass and velocity of an object, the more kinetic energy it has. Kinetic energy is a scalar quantity, meaning that it only has magnitude and no direction. It is an important concept in physics and has many practical applications, such as in sports, transportation, and industrial machinery.
The kinetic energy (K) of an object with mass m and speed v is given by:
[tex]K = 1/2 * m * v^2[/tex]
Rearranging this equation, we can solve for v:
[tex]v = sqrt(2K/m)[/tex]
Plugging in the values given in the problem, we get:
[tex]v = sqrt(2*109 J / 0.145 kg) = 14.4 m/s[/tex]
Therefore, the speed of the basketball is 14.4 m/s if its kinetic energy is 109 J.
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A screw of a certain press has a pitch of 0.20 cm. The diameter of the wheel to which a tangential turning force F is applied is 55 cm. If the efficiency is 40 %, how large must F be to produce a force of 12 kN in the press?
Answers
To produce a force of 12 kN in the press, a tangential turning force of 1187500 N (1187.5 kN) must be applied to the wheel.
What is force?Force is an influence that causes a change in the motion, shape, or both of an object. It is the result of an interaction between two objects, and is described through Newton's three laws of motion. These laws explain the relationship between force, mass, and acceleration.
The pitch of the screw is the distance between two adjacent threads on the screw, and is 0.20 cm in this case. The wheel diameter is 55 cm.
To calculate the force needed to produce a force of 12 kN in the press, we use the following equation: F = (12000 N * 55 cm) / (0.20 cm * 0.4).
This equation takes into account the pitch of the screw, the wheel diameter, and the efficiency of the press.
Plugging in the numbers, we get: F = (12000 N * 55 cm) / (0.20 cm * 0.4) = 1187500 N.
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If a cube that has a length, height, and width of 4 cm is broken down into 8 cubes of equal size, what is the surface area of the 8 new cubes?
Answers
Answer: When a cube is divided into smaller cubes of equal size, the length, height, and width of each new cube are one-third of the original cube.
So each new cube will have a length, height, and width of 4/3 cm.
To calculate the surface area of each new cube, we need to find the area of each face and then add them up. Each cube has six faces, so we can calculate the surface area of one cube by multiplying the area of one face by six.
The area of one face of the new cube is (4/3)*(4/3) = 16/9 cm².
So the surface area of one new cube is 6*(16/9) = 96/9 cm² = 10.67 cm² (rounded to two decimal places).
Since we have 8 new cubes, the total surface area is 8 times the surface area of one new cube:
Total surface area = 8 * 10.67 cm² = 85.33 cm² (rounded to two decimal places).
Therefore, the surface area of the 8 new cubes is 85.33 cm².
A water pump of 1.2kw rating pumps 480kg of water into an overhead tank at a height of 5m in 30 seconds. The efficiency of the pump os what
Answers
The efficiency of the pump defines its capacity to pump water upto a certain height under applied rated power. The formula for the efficiency of the pump can be given by,
η=power required/rated power
Answer and
0.654
Calculate the time required for a 6000-newton net force to stop a 1200-kilogram car initially traveling at 10 meters per second. [Show all work, including the equation and substitution with units.]
Answers
Answer:
To solve this problem, we will use the equation for the net force on an object, which is:
net force = mass x acceleration
We can rearrange this equation to solve for acceleration:
acceleration = net force / mass
Once we have the acceleration, we can use the equation for the motion of an object under constant acceleration:
final velocity^2 = initial velocity^2 + 2 x acceleration x distance
We can rearrange this equation to solve for the distance required to stop the car:
distance = initial velocity^2 / (2 x acceleration)
Finally, we can use the equation for average velocity to calculate the time required to travel this distance:
time = distance / average velocity
Substituting the given values into the equations:
net force = 6000 N
mass = 1200 kg
initial velocity = 10 m/s
Using the first equation:
acceleration = net force / mass
acceleration = 6000 N / 1200 kg
acceleration = 5 m/s^2
Using the second equation:
distance = initial velocity^2 / (2 x acceleration)
distance = 10 m/s^2 / (2 x 5 m/s^2)
distance = 10 m
Using the third equation:
average velocity = (initial velocity + final velocity) / 2
final velocity = 0 (since the car is coming to a stop)
average velocity = 10 m/s / 2
average velocity = 5 m/s
Using the fourth equation:
time = distance / average velocity
time = 10 m / 5 m/s
time = 2 seconds
Therefore, the time required for a 6000-newton net force to stop a 1200-kilogram car initially traveling at 10 meters per second is 2 seconds.
A bicyclist riding in the rain suddenly applies the brakes and slides to a stop. If the acceleration is −9.5 m/s2 , what is the coefficient of kinetic friction between the bicycle’s rubber tires and the wet concrete?
Answers
Answer & Explanation:
We can use the following equation to solve the problem:
a = -μk*g
where a is the acceleration, μk is the coefficient of kinetic friction, and g is the acceleration due to gravity (9.8 m/s2).
We are given that a = -9.5 m/s2. We can assume that g is constant and equal to 9.8 m/s2. Therefore, we can rearrange the equation to solve for μk:
μk = -a/g
μk = -(-9.5 m/s2) / 9.8 m/s2
μk = 0.969
Therefore, the coefficient of kinetic friction between the bicycle’s rubber tires and the wet concrete is 0.969.
NEED HELP ASAP
what is the maximum height achieved by a track star who goes into a long jump at 12m/s at an angle of 20.0 about the horizontal? (hint 12m/s is not the horizontal component of the velocity vector.)
Answers
11.76m is the maximum height achieved by a track star who goes into a long jump at 12m/s at an angle of 20.0 about the horizontal
Define projectile motion.
An object or particle that is projected into a gravitational field, such as from the surface of the Earth, and moves along a curved route only under the influence of gravity is said to be experiencing projectile motion.
Most calculations make the assumption that the effects of air resistance are passive and insignificant in the specific instance of Earth projectile motion. Galileo demonstrated that the curved path of objects in projectile motion is a parabola; however, in the unique situation where an object is hurled directly upwards, it may also be a straight line. Such a trajectory is a ballistic trajectory, which is the study of such movements.
v = u + at
a = g = 9.8m/s2
v = 0
u = 12 sin 20
t = 12 sin 20 /9.8 = 0.42 s
s = ut +1/2 at2
s = 12sin20 + 1/2 *9.8*0.42*0.42
s = 10.9 +.864 = 11.76m
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Fill in the appropriate values for each blank as it refers to ATOM 1. The atomic number of this atom is
the mass of this atom is
Answers
The atomic number of the atoms is 3
The mass number of the atom is 6.
What is the atomic number of the atom?The atomic number of an atom is the number of protons in the nucleus of the atom. In a neutral atom, the atomic number also corresponds to the number of electrons orbiting around the nucleus.
The atomic number determines the identity of the element, since each element has a unique number of protons in its nucleus.
The atomic number is typically represented by the symbol Z in chemical equations and atomic models.
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This piece of rock had broken off a much larger rock. Maria thinks that the density of the larger rock will be the same as the density of her piece. Is she correct? Circle your answer. yes no Explain your answer.
Answers
No, she is not correct. The density of the larger rock may be different than the density of her piece, depending on the composition of the rock and how it was formed.
What is density?Density is the measure of the mass of a substance per unit of volume. It is a physical property of a substance that can be used to identify the material. Density is calculated by dividing the mass of an object by its volume. Density is an intensive property, meaning it is independent of the size of the sample. The SI unit of density is kilograms per meter cubed (kg/m^3). Different materials have different densities, which can be compared to each other. For example, the density of water is 1 g/cm^3, while the density of lead is 11.3 g/cm^3. Density is an important physical property that is used in many scientific fields, such as physics and chemistry.
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Find the total equivalent resistance for the circuit. Req = [?] 2 9.0 V 30 Ω www 40 Ω www 50 Ω Enter 20Ω 10Ω
Answers
The total equivalent resistance for the circuit is 35.89 Ω
How do i determine the total equivalent resistance?First, we shall determine the equivalence resistance between 30 Ω and 40 Ω. Details below:
Resistor 1 (R₁) = 30 Ω Resistor 2 (R₂) = 40 ΩEquivalent (R) = ?R = (R₁ × R₂) / (R₁ + R₂)
R = (30 × 40) / (30 + 40)
R = 17.14 Ω
Next, we shall determine the equivalence resistance between 20 Ω and 10 Ω. Details below:
Resistor 1 (R₁) = 20 Ω Resistor 2 (R₂) = 10 ΩEquivalent (R) = ?R = R₁ + R₂
R = 20 + 10
R = 30 Ω
Next, we shall determine the equivalence resistance between 50 Ω and the equivalence of 20 Ω and 10 Ω (i.e 30 Ω). Details below:
Resistor 1 (R₁) = 50 Ω Resistor 2 (R₂) = 30 ΩEquivalent (R) = ?R = (R₁ × R₂) / (R₁ + R₂)
R = (50 × 30) / (50 + 30)
R = 18.75 Ω
Finally, we shall determine the total equivalent resistance for the circuit. Details below:
Equivalence resistance between 30 Ω and 40 Ω = 17.14 ΩEquivalence resistance between 50 Ω and the equivalence of 20 Ω and 10 Ω = 18.75 ΩTotal equivalent resistance =?Total equivalent resistance = 17.14 + 18.75
Total equivalent resistance = 35.89 Ω
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A cyclist starts from rest and coasts down a 4.5 degree hill. The mass of the cyclist plus bicycle is 80 kg. The cyclist has traveled 260 m.
a) What was the net work done by gravity on the cyclist? (in J)
Express your answer using two significant figures.
b) How fast is the cyclist going? Ignore air resistance. (m/s)
Express your answer using two significant figures.
Answers
KE = (1/2)mv^2
where m is the mass of the cyclist-bicycle system and v is the final velocity of the cyclist.
The work-energy principle states that the net work done on an object is equal to its change in kinetic energy:
W_net = KE_final - KE_initial
Since the initial kinetic energy is zero, the net work done by gravity on the cyclist is equal to the final kinetic energy:
W_net = (1/2)mv^2
To calculate the final velocity, we can use the conservation of energy principle, which states that the total mechanical energy of a system is conserved:
E_i = E_f
where E_i is the initial mechanical energy and E_f is the final mechanical energy. Since the cyclist starts from rest, the initial mechanical energy is equal to the gravitational potential energy:
E_i = mgh
where h is the vertical distance the cyclist travels down the hill. We can use trigonometry to calculate the vertical distance:
h = d*sin(theta)
where d is the distance the cyclist travels and theta is the angle of the hill in radians.
Plugging in the given values:
h = 260sin(4.5pi/180) = 20.05 m
Therefore, the initial mechanical energy is:
E_i = (80 kg)(9.81 m/s^2)(20.05 m) = 15742 J
Since there is no non-conservative work done on the system, the final mechanical energy is equal to the initial mechanical energy:
E_f = E_i = 15742 J
The final mechanical energy can also be expressed as the sum of the final kinetic and potential energies:
E_f = (1/2)mv^2 + mgh
Plugging in the known values and solving for v:
(1/2)(80 kg)v^2 = 15742 J - (80 kg)(9.81 m/s^2)(20.05 m)
v = sqrt[(2(15742 J - 15686 J))/80 kg] = 7.0 m/s
Therefore, the net work done by gravity on the cyclist is:
W_net = (1/2)(80 kg)(7.0 m/s)^2 = 1960 J (to two significant figures)
b) The final velocity of the cyclist is 7.0 m/s, as calculated in part a).
I’n a miracle of modern physics a 20.0-kg frictionless…
Answers
The acceleration of the lawn mower is 1.25 m/s².
The velocity of the lawn mower at the given time is 6.25 m/s.
What is the acceleration of the lawn mower?
The acceleration of the lawn mower is calculated by applying Newton's second law of motion as shown below.
Fx = ma
where;
Fx is the horizontal component of the forcem is the mass of the lawn mowera is the acceleration of the lawn mowerF cosθ = ma
where;
θ is the inclination of the force.a = ( F cosθ ) / m
a = ( 50 N x cos60 ) / 20 kg
a = 1.25 m/s²
The velocity of the lawn mower at the given time is calculated as;
v = at
v = 1.25 m/s² x 5 s
v = 6.25 m/s
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Rank the four cases below according to the magnitude of the net electric force on the + q charge. Explain how you determined your ranking.
Answers
The order of net coulombic measurement of the amount is (4) > (3) > (1) > (2) .
What kinds of electrostatic charge exist?The Many Kinds of Electric Forces Electromagnetic forces can be divided into two categories: attractive electromagnetic forces and repellent electrical forces. Related crimes repel each other whereas opposite charges attract one another.
(1) Net charge density force on charge q: magnitude = kQq / R2 + 2 kQq cos(theta) / R2
= k Q q ( 1 + 2 cos(theta) ) / R2
(2) Net charge density force on charge q: magnitude = kQq / R2 + 2 kQq cos(theta) / (R/cos(theta))^2
= k Q q ( 1 + 2 cos3(theta) ) / R2
(3) Net charge density force on charge q: magnitude = 3 kQq / R2
(4)Net charge density force on charge q: magnitude= kQq / (R/2)^2 = 4 kQq / R2
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Calculate the speed (in m/s) a spherical raindrop would achieve falling from 2.70 km with air drag. Take the size across of the drop to be 3 mm, the density to be 1.00 ✕ 10^3 kg/m3, and the surface area to be r^2. (Assume the density of air is 1.21 kg/m^3.)
Please, solve as soon as possible.
Answers
A spherical raindrop would fall from a height of 2.70 km at a speed of 26.22 m/s due to air resistance.
Calculation-(a) Height from which the raindrop falls, h = 2.70 km = 2700 m
Now,
suppose, m = mass of raindrop
v = speed of raindrop at the ground.
Apply conservation of energy -
1/2 m v^2 = m g h
v = (2 g h)^1/2
= (2 * 9.8 * 2700)^1/2 = 230.0 m/s (Answer)
(b) In the presence of air drag -
Dynamics
m x" = m g - k x'^2
limit speed is
v = (m g / k)^1/2
where
k = 1/2 ρ A C
ρ = air density = 1.21 kg/m^3
A = area = π r^2 = 3.141 * 0.0015^2 = 7.07 x 10^-6 m^2
C = coefficient of hydraulic resistance [0.47 for a sphere]
m = ρ' V = 1.0 x 10^3 x (4/3)*pi*0.0015^3 = 1.41 x 10^-5 kg
k = 1/2*1.21*7.07x10^-6*0.47
= 2.01 x 10^-7 kg/m
Therefore,
v = [(1.41 x 10^-5 x 9.8) / (2.01 x 10^-7)]^1/2
= 26.22 m/s
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How is the water cycle connected to the average temperature of the Earth's
atmosphere and the average temperature of the Earth's oceans? (This
should be in addition to what you just wrote about the Sun)
ITI
Answers
Answer:
Through the water cycle, heat is exchanged and temperatures fluctuate. As water evaporates, for example, it absorbs energy and cools the local environment. As water condenses, it releases energy and warms the local environment. The water cycle also influences the physical geography of the Earth.