Given,
The total charge transferred, Q=15.0 C
The charge of one electron is e=1.6×10⁻¹⁹ C
Thus the number of electrons in 15.0 C is given by,
\(N=\frac{Q}{e}\)On substituting the known values,
\(\begin{gathered} N=\frac{15}{1.6\times10^{-19}} \\ =9.38\times10^{19} \end{gathered}\)Therefore the number of electrons that pass through the wire is 9.38×10¹⁹
In a plane, add a 120 N force at 300 and a -100 N force at 900 using the parallelogram method. [111N 339]
See the attached figure.
The black arrows represent the two given vectors. The dashed black arrows are these same vectors, but translated so that the end of one vector is aligned with the start of another.
The red vector is their sum.
In case you also need to find the magnitude and direction of the sum, we have
A = (120 N) (cos(30°) i + sin(30°) j) = (60√3 i + 60 j) N
B = (-100 N) (cos(90°) i + sin(90°) j) = (-100 j) N
⇒ A + B = (60√3 i - 40 j) N
⇒ ||A + B|| = √((60√3)² + (-40)²) N = 20√31 N
and its direction relative to the positive horizontal axis (rightward) is θ such that
tan(θ) = (-40) / (60√3) = -2/(3√3)
⇒ θ = arctan(-2/(3√3)) ≈ -21.05°
In the figure below, this “double” nozzle discharges water (at 10°C, density= 1000 kg/m3) into the atmosphere at a rate of 0.50 m3/s. The pressure at the inlet is to be 315612 Pa. If the nozzle is lying in a horizontal plane. Jet A is 10 cm in diameter, jet B is 12 cm in diameter, and the pipe (1) is 30 cm in diameter. The x-component of force (Rx) acting through the flange bolts is required to hold the nozzle in place is:
Answer:
gfxfhhnhgfhjjgfghjhffgkhfdcg
Please help>>>>
Ibrahim is a 15-year-old boy. He has been suspended for fighting on school property. How would a psychologist who emphasizes the social learning perspective explain this behavior?
A) Ibrahim has been rewarded for previous aggressive behavior.
B) Ibrahim has observed others who model aggressive behavior.
C) Ibrahim is at a stage in development when increases in male hormones predispose him to engage in aggression.
D) Ibrahim has projected his aggressive impulses onto others and anticipates that they will behave aggressively toward him.
The psychologist who emphasizes the social learning perspective explain this behavior would say that Ibrahim has observed others who model aggressive behavior. Option B
What is meant by aggressive behavior?According to social psychology, aggression refers to any conduct or action intended to hurt a person, an animal, or cause physical injury to property. Here are a few instances of aggressive behavior: physical harm. screaming, cursing, and foul language.
Aggression is an overt or covert social engagement that is frequently harmful and intended to cause harm to another person.
Aggressive behavior is forceful, reactive, and impulsive behavior that frequently leads to breaching social norms or the law.
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An artillery shell is fired at a target 200 m above the ground. When the shell is 100 m in the air, it has a speed of 100 m/s. What is its speed when it hits its target?
The speed of the artillery shell when it hits its target is 100 m/s.
Given:
Initial vertical displacement (y) = 200 m
Vertical displacement at 100 m in the air (y') = 100 m
Final velocity in the vertical direction (vy') = 0 m/s (at the highest point of the trajectory)
Using the equation for vertical displacement in projectile motion:
y' = vy^2 / (2g),
where g is the acceleration due to gravity (approximately 9.8 m/s^2), we can solve for the initial vertical velocity (vy).
100 m = vy^2 / (2 * 9.8 m/s^2),
vy^2 = 100 m * 2 * 9.8 m/s^2,
vy^2 = 1960 m^2/s^2,
vy = sqrt(1960) m/s,
vy ≈ 44.27 m/s.
Now, since the horizontal motion is independent of the vertical motion, the horizontal speed of the shell remains constant throughout its trajectory. Therefore, the speed of the shell when it hits its target is 100 m/s.
Hence, the speed of the artillery shell when it hits its target is 100 m/s.
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A ball has a mass of 140 g what is the force needed to accelerate the mall at 25 m/s squared
Answer:
\(\boxed {\boxed {\sf 3.5 \ Newtons}}\)
Explanation:
Force is the product of mass (in kilograms) and acceleration (in meters per square second).
\(F=ma\)
The mass of the ball is 140 grams and the acceleration is 25 m/s². Convert grams to kilograms.
1 kg=1000 g\(140 \ g *\frac{1 \ kg}{1000 \ g}=\frac{140}{1000} \ kg =0.14 \ kg\)Substitute the values into the formula.
\(F= 0.14 \ kg * 25 \ m/s^2\)
Multiply.
\(F= 3.5 \ kg*m/s^2\)
1 kilogram meter per square second is equal to 1 NewtonOur answer equals 3.5 Newtons\(F= 3.5 \ N\)
3.5 Newtons of force are required.
Two asteroides crashed. The crash caused both asteroids to change speed.Scientist wants to use the change in speed and motion to figure out which asteroide has more mass.Based on the information in the diagram which statement is correct ? In your answer explain ,explain what the forces were like and why the asteroids changed in motion
Astroid one has less asked her to. Able to use enough force to not only change or keep it self go in the same direction.
(a) If the initial speed both asteroids before collision is the same, then the asteroid with greater mass will have more momentum before collision while the asteroid with lesser mass will have greater momentum after collision.
(b) The force of the impact depends of the velocity change and time of collision of the asteroids.
According to the principle of conservation of linear momentum, the sum of the momentum of each asteroid before collision must equal the sum of their momentum after collision.
\(m_1 u_1 + m_2 u_2 = m_1v_1 + m_2 v_2\)
where;
m is the mass of the asteroidsu is the initial speed of the asteroidsv is the final speed of the asteroidsIf the initial speed both asteroids before collision is the same, then the asteroid with greater mass will have more momentum before collision while the asteroid with lesser mass will have greater momentum after collision to conserve the momentum.
The force of the impact depends of the velocity change and time of collision of the asteroids.
\(F = \frac{m\Delta v}{t}\)
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A ray diagram shows that an object is placed in front of a plane mirror. What are the characteristics of the image produced by the object?
inverted, larger than object, real
upright, smaller than object, virtual(this is not the answer)
inverted, same size as object, real
upright, same size as object, virtual
The image created when an object is placed in front of a plane mirror is virtual, hence it cannot be projected onto a screen. The right response is: virtual, upright, and of the same size as the object.
Does an object's image emerge when it is placed in front of a flat mirror?A virtual picture is created when an object is placed in front of a plane mirror. The distance between the image and the mirror is equal to the distance between the item and the mirror, and the size of the image is the same as the size of the object.
When the object is flipped over in relation to the mirror's planar image?The left side of an object appears to be the right side of its image when it is placed in front of a plane mirror, and the opposite is true for the right side of the object. Lateral inversion is the term for this phenomena.
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tha motor pumps water from a well 10 m deep and projects it at a speed of 15 meters per second.the water pause ftom the pipe at a rate of 1200 kg per minute calculate the power of the motor
Answer:
4210 W
Explanation:
We'll begin by calculating the energy required in lifting the water from the depth. This can be obtained as follow:
Mass (m) = 1200 Kg
Height (h) = 10 m
Acceleration due to gravity (g) = 9.8 m/s²
Energy (E₁) =?
E₁ = mgh
E₁ = 1200 × 9.8 × 10
E₁ = 117600 J
Next, we shall determine the energy required to project the water at 15 m/s. This can be obtained as follow:
Mass (m) = 1200 Kg
Velocity (v) = 15 m/s
Energy (E₂) =?
E₂ = ½mv²
E₂ = ½ × 1200 × 15²
E₂ = 600 × 225
E₂ = 135000 J
Finally, we shall determine the power of the motor. This can be obtained as follow:
Total energy (E) = E₁ + E₂
= 117600 + 135000
= 252600 J
Time (t) = 1 min = 60 s
Power (P) =?
P = E/t
P = 252600 / 60
P = 4210 W
Therefore, the power of the motor is 4210 W.
give 3 example of right quantities that have no unit
Answer:
velocity ratio
mechanical advantage
Relative density
Which does NOT affect how much a building shakes in an earthquake?
*If it is on soft sediment or hard rock.
*How close it is to the fault.
*If it is in a valley or on a hill.
*The weather.
*How the building is constructed.
Which piece of ice has the most thermal energy?
A. A 10 g ice cube at -1°C
B. A 10 g ice cube at -3°C
C. A 10,000 g ice sculpture at -2°C
D. A 10,000 g ice sculpture at -1°C
Answer:
(B.) sorry if I'm wrong
Explanation:
Answer:
D.
Explanation:
It is D. A 10,000 g ice sculpture at -1 c
The winter solstice, the shortest day of the year in the Northern hemisphere, occurs when the Earth is in which position?
Answer:
A
Explanation:
explain the term tenscopo
Answer: Here you go, i hope this kinda helps.
Explanation:Disambiguation is just a fancy way of saying "asking clarifying questions".
Watson Assistant replies to user's questions based on a confidence score.
Sometimes the customer's question could be interpreted in two or three different ways.
For example, if you say you'd like to "book a table for 8", the assistant is able to ask a clarifying question:
Did you mean booking a table for 8PM, 8AM, or booking a table for 8 guests?
Watson Assistant will ask the question when its confidence score is divided between a few options to ensure that your customers get exactly the right service they need.
What precise meaning do you attach to the statement r = (24.0 ± 0.3) mm, where r is the radius of a tube.
The information provided above demonstrates that the range of the tube's radius within which we are certain is from 23.7 to 24.3.
Accurate findings are desired when any quantity is being measured. Closeness of the measurements to a particular value is referred to as accuracy (like the theoretical value). It is not insignificant that measurements can contain inaccuracies; as a result, the outcome frequently includes a margin error. The sentence above displays the radius's measured value along with its margin of error.
In other words, the aforementioned statement represents a quantity's numerical value along with its tolerance, or the only permissible (and conceivable) values to ensure that the measurement is accurate. The information provided above demonstrates that the range of the tube's radius within which we are certain is from 23.7 to 24.3.
These are all valid radius values, along with all others within this interval. By increasing the number of trials in a measurement, the value for the upper and lower bounds of the error can be decreased.
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f the ball lands in a trampoline and stretches 8.7 meters, what is the spring constant of the trampoline?
A 6 kg blue ball rolls across the ground and collides with a stationary 1 kg red ball.
Before the collision the blue ball moved right with a speed of 4 m/s, and after the
collision it moved left with a speed of 1 m/s. If the red ball was not moving before the
collision, how fast is it moving after the collision?
The final velocity of the red ball is 18 m/s.
What is momentum?The term momentum has to do with the product of the mass and the velocity of an object We know that the momentum is always conserved in accordance with the Newton third law. Also it is clear that the momentum before collision is equal to the total momentum after collision and we are going to apply this principle here.
Then;
Mass of the blue ball = 6 kg
Mass of the red ball = 1 kg
Initial velocity of the blue ball = 4 m/s
Initial velocity of the red ball = 0 m/s
Final velocity of the red ball = ??
Final velocity of the blue ball = 1 m/s
We now have;
(6 * 4) + (1 * 0) = (1 * v) + (6 * 1)
24 = v + 6
v = 24 - 6
v = 18 m/s
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The density of water is about 1 gram per milliliter. A milliliter is a cubic centimeter (i.e., cm3 ). A red blood cell has a density similar to water and is shaped like a one micrometer thick disk with a diameter of about 10 micrometers. About what is the mass in grams of a red blood
Answer:
The mass in grams of a red blood cell is about 7.85 × 10⁻¹¹ grams
Explanation:
To find the mass in grams of a red blood cell,
From,
\(Density = \frac{Mass}{Volume}\)
Then,
\(Mass = Density \times Volume\)
From the question,
Density of a red blood cell is similar to that of water
Density of water = 1 g/mL = 1 g/ cm³
Then, Density of a red blood cell = 1 g/cm³
Now, we will find the volume a red blood cell.
From the question,
A red blood cell is shaped like a one micrometer thick disk with a diameter of about 10 micrometersSince the shape is like that of a thick disc, we can determine the volume by using the formula for volume of a cylinder.
Hence,
Volume of a red blood cell = \(\pi r^{2}h\)
Where \(\pi\) Is a constant (Take \(\pi\) = 3.14)
\(r\) is the radius
and \(h\) is the thickness
Diameter of a red blood cell = 10 micrometers
Then, radius of a red blood cell = 10/2 micrometers = 5 micrometers
\(r\) = 5 micrometers = 5 × 10⁻⁶ meters
and \(h\) = 1 micrometer = 1 × 10⁻⁶ meters
Hence,
Volume of a red blood cell = 3.14 × (5 × 10⁻⁶)² × 1 × 10⁻⁶
∴ Volume of a red blood cell = 7.85 × 10⁻¹⁷ cubic meter (m³)
Convert this to cubic centimeter
(NOTE: 1 cubic meter = 1000000 cubic centimeter)
Hence,
Volume of a red blood cell = 7.85 × 10⁻¹¹ cubic centimeter (cm³)
Now, for the mass
\(Mass = Density \times Volume\)
Density of a red blood cell = 1 g/cm³
Volume of a red blood cell = 7.85 × 10⁻¹¹ cubic centimeter (cm³)
Then,
Mass = 1 g/cm³ × 7.85 × 10⁻¹¹ cm³
Mass = 7.85 × 10⁻¹¹ g
Hence, the mass in grams of a red blood cell is about 7.85 × 10⁻¹¹ grams
Determine the equivalent capacitance of the combination shown when C = 12 n
Hi there!
Recall the following.
Capacitors in series:
\(C_T = \frac{1}{C_1} + \frac{1}{C_2} +...+ \frac{1}{C_n}\)
Capacitors in parallel:
\(C_T = C_1 + C_2 + ... + C_n\)
Begin by solving for the resulting capacitance of both paths.
Path on the left:
\(\frac{1}{C_T} = \frac{1}{2C} + \frac{1}{C} = \frac{3}{2C}\\C_T = \frac{2C}{3}\)
Path on the right:
\(\frac{1}{C_T} = \frac{1}{C} + \frac{1}{3C} = \frac{4}{3C}\\\\C_T = \frac{3C}{4}\)
Now, since we ADD capacitors in parallel, we can add the resulting capacitances together:
\(C_T = \frac{2C}{3} + \frac{3C}{4}\)
Substitute in 12 F for C and solve.
\(C_T = \frac{2(12)}{3} + \frac{3(12)}{4} = \frac{24}{3} + \frac{36}{4} = 8 + 9 = \boxed{17F}\)
Problem B.2: Escaping a Star (6 Points) It takes many years for a photon produced in a star's centre to reach its surface and escape into space. This is due to its constant interaction with other particles. To estimate the time it takes for a photon to escape a star's interior, we assume that the photon is deflected in equal time intervals into a random direction in a two-dimensional space (i.e., a random walk): At each step i, the photon moves a constant distance in an angle, thus changing its position: cos(4) sin(y) Ai, - c (a) Determine the distance R(n) from the centre (0,0) after n steps.
Answer:
This problem involves the concept of a random walk, which is a mathematical model of a path consisting of a succession of random steps.
The question asks for the distance, R(n), from the center of a star after n steps of a photon, assuming a 2D random walk.
The random walk in two dimensions has a step length of A_i and the direction of the steps is uniformly distributed in [0, 2π). The change in position after each step can be written in Cartesian coordinates (Δx, Δy), where Δx = A_i cos(θ_i) and Δy = A_i sin(θ_i).
The displacement from the center after n steps is given by the vector sum of all the individual steps. This vector sum can be written in terms of its Cartesian coordinates, (X, Y), where X = Σ Δx and Y = Σ Δy. This sum over n random vectors is itself a random variable. The net displacement R(n) from the center of the star after n steps is given by the magnitude of the net displacement vector:
R(n) = √(X² + Y²)
Because each step is independent and has a random direction, the expected value of the cosine and sine for any step is zero. This means that the expected values of X and Y are both zero.
However, the mean square displacement is not zero. Because the steps are independent, the mean square displacement in each direction is additive. For a 2D random walk:
<X²> = Σ <(Δx)²> = n <(A cos θ)²> = n A²/2
<Y²> = Σ <(Δy)²> = n <(A sin θ)²> = n A²/2
Because <X²> = <Y²>, we can write:
<R²> = <X²> + <Y²> = n A²
So, the root mean square distance (the square root of the mean square displacement) after n steps is:
R(n) = √(<R²>) = √(n) * A
Therefore, the distance R(n) that the photon is expected to be from the center of the star after n steps grows as the square root of the number of steps, with each step having a length A. Please note that this result holds for a 2D random walk. A real photon in a star would be performing a 3D random walk, which would have slightly different characteristics.
If Earth's gravity pulls an object, causing it to accelerate to the ground, what must be true about Earth?
O A. It accelerates just as quickly in the direction of the object.
• B. It is being pulled toward the object by the object's gravity.
C. It is being pushed away from the object by that same force.
• D. It accelerates just as quickly in the direction away from the object.
Answer:• B. It is being pulled toward the object by the object's gravity.
Explanation:
Answer:
b
Explanation:
The object and the earth are being pushed toward each other by earth's gravity, therefore Earth appears to be being pulled toward the object as Earth's gravity pulls the object towrd Earth.
How long will it take to heat 0.71kg of water (c=4200J/kgK) from room temperature (20°C) to its boiling point if it were put in a 600W microwave
6.64 minutes to heat 0.71kg of water from 20°C to its boiling point using a 600W microwave.
To calculate the time it takes to heat the water, we can use the formula:
Q = mcΔT
where Q is the heat energy absorbed by the water, m is the mass of the water, c is the specific heat capacity of water, and ΔT is the change in temperature.
First, let's find the change in temperature:
ΔT = boiling point - room temperature = 100°C - 20°C = 80°C
Next, we can calculate the heat energy absorbed:
Q = mcΔT = (0.71kg)(4200J/kgK)(80°C) = 239,040J
Now, let's find the time it takes to supply this amount of energy using a 600W microwave:
Power (P) = Energy (Q) / Time (t)
t = Q / P = 239,040J / 600W = 398.4 seconds
Therefore, it will take approximately 398.4 seconds or 6.64 minutes to heat 0.71kg of water from room temperature to its boiling point using a 600W microwave.
It's worth noting that this calculation assumes all the microwave's power is effectively transferred to the water and that there are no heat losses during the process. In practice, factors like heat transfer efficiency and losses should be considered, which may slightly affect the actual heating time.
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reposting this question
jacob is kayaking across the chattooga river at a velocity of 2.5 m/s east. the river current today is 6 m/s south. find is velocity and direction,
Upon crossing the Chattooga River, the Jacob's last speed was measured at 6.5 m/s, with the direction of travel being to the south-east.
Describe the resulting velocity vector in detail.The overall vector velocity of an object is in fact the sum of its individual vector velocities.The sum of the vector forces exerted on an object are represented by the scalar product of its mass and acceleration vector.We measure two perpendicular velocities due to the kayaker and the river: 2.5 m/s downstream inside a southerly direction and 6 m/s across the river in such an easterly direction.
The Pythagorean Theorem makes the following predictions about the amount of a resultant velocity:
v = √(2.5)² + (6)²
v = √42.25
v = 6.5 m/s
The direction that results will be south-east.
As a result, the Jacob's final speed when it crosses the Chattooga River is determined to be 6.5 m/s, with the direction of travel being south-east.
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How do I find the mass in kg
To find the mass in kilograms, you need to know the object's weight in newtons and the acceleration due to gravity. The formula for finding mass is mass = weight / acceleration due to gravity. So if you have an object with a weight of 100 N and the acceleration due to gravity is 9.8 m/s^2, the mass would be 10.204 kg.
The mass of the block is 0.025 kg or 25 g, when the spring has k = 28 N/m, and compresses 0.11 m before bringing the block to rest.
When a block is dropped onto a spring with k=28 N/m, the block has a speed of 3.2 m/s just before it strikes the spring. If the spring compresses an amount of 0.11 m before bringing the block to rest, what is the mass of the block?The formula for the spring potential energy is given as follows; PE = (1/2) kx² where k is the spring constant and x is the amount of deformation of the spring. Substituting the values given;PE = (1/2) 28 (0.11)²PE = 0.16972 J. According to the law of conservation of energy, the potential energy stored in the spring at maximum compression is equal to the kinetic energy the block had before it struck the spring;KE = (1/2) mv²where m is the mass of the block and v is its velocity.Substituting the values;0.16972 = (1/2) m (3.2)²m = 0.025 kg or 25 gTherefore, the mass of the block is 0.025 kg or 25 g.For more questions on mass
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A(n) 1252 kg car is coasting along a level
road at 29.7 m/s. A constant braking force
is applied, such that the car is stopped in a
distance of 69.9 m.
What is the magnitude of the braking force?
Answer in units of N
The magnitude of the braking force of the car of mass 1252 kg is 265.98 N.
What is force?Force can be defined as the product of mass and acceleration.
To calculate the magnitude of the braking force, we use the formula below.
Formula:
F = m(v²-u²)/2s............. Equation 1Where:
F = Force from the brakem = Mass of carv = Final velocityu = Initial velocitys = DistanceFrom the question,
Given:
m = 1252 kgv = 0 m/su = 29.7 m/ss = 69.9 mSubstitute these values into equation 1
F = 1252(0-29.7)/(69.9×2)F = 37184.4/139.8F = 265.98 NHence, the magnitude of the braking force is 265.98 N.
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True or false
Are the statements below correct? 1. Considering two different ways in the figure to push two identical heavy boxes to move at a constant speed, case b) is more strenuous than case a) because case b) has a higher kinetic friction force. 2. With the presence of kinetic friction, a brick pulled by gravity can still slide down an inclined plane at a constant acceleration. 3. If a round object undergoes pure rolling downhill on an inclined plane, the gravitational force exerts a torque to accelerate the rotational motion of the object. 4. If a round object undergoes pure rolling downhill on an inclined plane, the friction force tends to de-accelerate the rotational motion of the object.
No.2 and 3 sentence is correct. 2} With the presence of kinetic friction, a brick pulled by gravity can still slide down an inclined plane at a constant acceleration. 3} If a round object undergoes pure rolling downhill on an inclined plane, the gravitational force exerts a torque to accelerate the rotational motion of the object.
What is the relationship between the coefficient of kinetic friction and the force required to maintain constant velocity in a system with friction?The force required to maintain constant velocity in a system with friction is equal to the coefficient of kinetic friction multiplied by the normal force acting on the object.
Can an object with a non-zero coefficient of static friction ever move horizontally if a force is applied to it?No, an object with a non-zero coefficient of static friction cannot move horizontally if a force is applied to it until the force reaches the threshold of the maximum static friction force.
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According to the psychoanalytic perspective a personality personality is based on
The psychoanalytic perspective states that a personality is based on the childhood experiences as well as unconscious mind.
What do you mean by psychoanalytic perspective?
In English, the terms psychoanalytic and psychoanalytical are employed. The latter phrase, which is older, originally just meant "related to the investigation of the human psyche." However, both titles evolved to refer to that as psychoanalysis became recognized as a separate therapeutic discipline. Even while both are still in use, psychoanalysis is the more common descriptor nowadays. Humans are defined as having sexual and violent urges from the perspective of a psychoanalytic lens.
Psychoanalytic theory of personality: a psychoanalytic approach that focuses on each person's unconscious thoughts, beliefs, and memories. It says that these traits affect our personalities and behaviors.
The three level of consciousness are:
Consciousness
According to Freud, every human has a conscious mind that stores all of the information they are aware of about their surroundings. Any ideas, emotions, or even easily recalled memories are all included in the conscious mind. It's all we already know and are conscious of.
Preconsciousness
The level immediately beneath aware is known as preconscious. Everything that is not in the conscious mind but may very simply be recalled and become conscious is included in the preconscious mind.
Unconsciousness
The unconscious mind is the third and last degree of consciousness. Anything that is suppressed, seems to have been forgotten, or any emotion or thought that is not conscious is what is known as the unconscious mind. This could include mistreatment or bullying of children toward their parents.
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An electric motor operates a pump that irri-
gates a farmer's crop by pumping 10 000 L of
water a vertical distance of 8.0 m into a field
each hour. The motor has an operating resis-
tance of 22.0 2 and is connected across a
110-V source.
a. What current does it draw?
b. How efficient is the motor?
Answer:
a. 5A
b. 39.60%
Explanation:
The computation is shown below:
a. The current does it draw is
= v ÷ R
= 110v ÷ 22
= 5A
b. Now the efficiency of the motor is
n = mgh ÷ vlt
= (10,000 × 9.8 × 8) ÷ (5 × 3600 × 110)
= 784000 J ÷ 1,980,000
= 39.60%
hence, the above formulas are applied & the same is relevant
At what situation tension is greater than weight
Answer:
As tension depend upon weight not a mass. So tension would be greater in case of facing greater gravity even with smaller mass. As tension depend upon weight not a mass. So tension would be greater in case of facing greater gravity even with smaller mass
03: Hook's law suggests that F is directly proportional to -x, how much true you have found this statement in your experiment? Explain any differences.
Hooke's Law can be given as follows sometimes:
The restoring force of a spring is equal to the spring constant multiplied by the displacement from its normal position:
F = -kx
Where, F = Restoring force of a spring (Newtons, N)
k = Spring constant (N/m)
x = Displacement of the spring (m)
The negative sign relates to the direction of the applied force and by convention, the minus or negative sign is present in F = -kx. The restoring force F is directly proportional to the displacement (x), according to Hooke's law. When the spring is compressed, the displacement (x) is negative. It is zero when the spring is at its original length and positive when the spring is extended.
Practically, Hooke's Law is applicable only within a limited frame of reference, and through experimenting, this statement proves to be true. Because materials cannot be compressed beyond a certain size or expanded beyond a certain size without some permanent deformation or change of their original state.
The law only applies under some conditions such as a limited amount of force or deformation. Factually, many materials will noticeably deviate from Hooke's law even before those elastic limits are reached.
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You have a meteorite sample and you decide to use the uranium-235/lead-207 system to date it. After analysis, you find that it has 22,500 atoms of 235U remaining, and 1,477,500 atoms of 207Pb that the 235U decayed to. What percentage of the original amount of 235U is still present?
Originally there must been
1,4775E6 + 2.25E4 = 147.75E4 + 2.25E4 = 150E4 present at start
% = 2.25 / 150 = 1.5 % of 235 U left