The truck needs to draw the trailer with 13200 N of force at its maximum capacity.
What Does Static Friction Mean?Every physical object has a small amount of "stickiness," which is where friction gets its power. Where two surfaces touch, there will be some resistance to motion in that direction. When two surfaces are stationary in relation to one another, there is static friction. Because static friction creates resistance, a certain amount of force must be exerted to get objects moving. There won't be any movement at all if the force applied to one of the surfaces does not surpass the static friction force.
Let the weight of the truck be W . reaction force R = W
Maximum frictional force = μ R
= .8 x W
So for movement of truck
Pulling force = frictional force
10560 = .8W
W = 13200 N
weight of heaviest truck required = 13200 N .
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A soccer ball (k = 2/3) with a radius of 0.101 meters and a mass of 0.400 kilograms rolls on a field with an angular speed of 93 radians per second. a. What is the translational kinetic energy of the ball? Include units in your answer.b. What is the rotational kinetic energy of the ball? Include units in your answer.c. The ball then rolls up a hill. What height will the ball reach before coming to rest? Include units in your answer. All answers must be in 3 significant digits.
Given,
The radius of the ball, r=0.101 m
The mass of the ball, m=0.400 kg
The angular speed of the ball, ω=93 rad/s
a.
The linear velocity of the ball is given by,
[tex]v=\omega r_{}[/tex]The translational kinetic energy is given by,
[tex]\begin{gathered} K_t=\frac{1}{2}mv^2 \\ =\frac{1}{2}m\omega^2r^2 \end{gathered}[/tex]On substituting the known values,
[tex]\begin{gathered} K_t=\frac{1}{2}\times0.400\times93^2\times0.101^2 \\ =17.6\text{ J} \end{gathered}[/tex]hus the translational kinetic energy of the ball is 17.6 J
b.
The moment of inertia of the ball is given by,
[tex]I=\frac{2}{3}mr^2[/tex]The rotational kinetic energy of the ball is given by.
[tex]\begin{gathered} K_r=\frac{1}{2}I\omega^2 \\ =\frac{1}{2}\times(\frac{2}{3}\times mr^2)\times\omega^2 \\ =\frac{1}{3}mr^2\omega^2 \end{gathered}[/tex]On substituting the known values,
[tex]\begin{gathered} K_r=\frac{1}{3}\times0.400\times0.101^2\times93^2 \\ =11.8\text{ J} \end{gathered}[/tex]hus the trotational kinetic energy of the ball is 11.8 J
.
From the law of conservation of energy, the energy can neither be created nor be destroyed but can be converted from one form to another.
When ball rolls up the hill the ball will lose its translational and rotational kinetic energy. But the lost kinetic energy will be converted into its gravitational potential energy.
Therefore, the gravitational potential energy of the ball when it is up the hill is equal to the sum of its translational and rotational kinetic energy.
Thus,
[tex]\begin{gathered} K_t+K_r=P \\ =\text{mgh} \end{gathered}[/tex]Where g is the acceleration due to gravity and h is the height that the ball will reach before coming to rest.
On rearranging the above equation,
[tex]h=\frac{K_t+K_r}{mg}[/tex]On substituting the known values,
[tex]\begin{gathered} h=\frac{17.6+11.8}{0.400\times9.8} \\ =7.5\text{ m} \end{gathered}[/tex]herefore the ball will treach a height of 7.5 m before coming to rest.
7. Conceptual 03 04 10 pts possible Someone in a car going past you at the speed of 41 m/s drops a small rock from a height of 1.6 m. How far from the point of the drop will the rock hit the ground? The acceleration due to gravity is 9.8 m/s². Answer in units of m.
Answer:
See below
Explanation:
Find out how long the vertical velocity and accel cause the rock to ground out....then multiply this time by the horizontal speed....then use pythag theorem for the TOTAL distance
df = do + vo t + 1/2 a t^2 df = final height = 0 do = original = 1.6 m
v o = original velocity = 0 accel = - 9.81 m/s^2
0 = 1.6 + 0 + 1/2 ( - 9.8)(t^2) shows t = .5714 seconds to hit the ground
horizontal distance = .5711 seconds * 41 m/s = 23.43 m
vertical distance = 1.6 m
TOTAL distance = sqrt (( 23.42)^2 + (1.6)^2 ) = 23.48 m
If questioner wants horizontal disance <=====use first answer
if Q wants TOTAL distance <====== use second answer
8.Sara took her solid gold ring to the jeweler for cleaning. While the jeweler was
cleaning, he mixed up the ring with another that is only gold-plated. How can the
jeweler determine which ring is Sara's? Hurry pls
The jeweler can determine which ring is Sara's by scratch test, acid test or magnet test.
Sara's solid gold ring is mixed with gold plated ring and now she has to identify which one is her real ring.
There are many method to identify if the ring is solid gold or not,
1. A scratch test. A scratch deep enough to penetrate till the metal of the gold-plated ring can tell if the ring is solid gold or not. The solid gold ring will be all uniformly distributed gold through the structure.
2. By acid test. By putting both the rings in the acid solution is can be found out which one is the real gold ring. The gold plated ring in the acid solution which eventually changes the color of the ring.
3. Magnet test. A very strong magnet will attract the gold plated ring but not solid gold ring because the solid gold rings are non-magnetic in nature.
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Q: Compare and contrast the different parts of the Electromagnetic Spectrum. Evaluate the usefulness of each part and decide which part is most useful, or most important, to you and society as a whole. You must provide two reliable sources to back up your opinion. Recall that reliable sources include scientific sites or publications, education sites or publications, and government sites or publications.
The purpose of this assignment is to debate and consider different opinions on this topic. There is no right or wrong answer. However, this discussion should represent varying opinions. You will need to do some research and back up your opinions with facts. Remember to cite your sources!
A: The different parts of the electromagnetic spectrum are ultraviolet lights, infrared lights, x-rays, gamma rays, and radio waves. All of these colors are called the electromagnetic spectrum. Each of these parts have different energy levels, wavelengths, and frequencies. According to scied.ucar,edu, Gamma rays have the highest energies and radio waves have the lowest. As imagine.gsfc.nasa.gov states, a comparison of all of the parts is that their radiations are defined by the amount of energy found in the photons. They will still have different energies but they all use photons. Usefulness for Radio: It captures radio waves emitted by radio station which makes our favorite tunes. Microwave: cooks popcorn in a few mins. Infrared: night vision goggles use this light. Helps us map dust between stars. Visible: Our eyes detect visible light. Fireflies, light bulbs, and stars all emit visible light. Ultraviolet:Emitted by sun and reason why skin tans and burns. X-ray:Dentist uses to view teeth, airport security to see through your bag, used to see inside things. Gamma ray: Doctors use it to image inside your body. I think the most important would be the visible ones because those are the ones everyone uses no matter what. If there was no light we wouldn't see. We can see light with our vision.
The infrared and ultraviolet parts of the electromagnetic spectrum can be used in the field of chemical analysis.
The sections of the EM spectrum are named in order of increasing energy gamma rays X-rays ultraviolet-visible light infrared, and radio waves. Microwaves used in microwave ovens are a subsection of the radio segment of the EM spectrum.
Electromagnetic energy travels in waves and covers a wide spectrum from very long radio waves to very short gamma rays. The human eye can only see a small portion of this spectrum known as visible light. The electromagnetic spectrum includes all frequencies of electromagnetic radiation that carry energy and travel through space in the form of waves. Low frequencies and long wavelengths make up the radio spectrum.
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Car A runs a red light and crashes into Car B, which is waiting to make a left turn. Car A has a mass of 2,000 kg. Car B has a mass of 1,500 kg. After the impact, the cars stick together and slide away at a speed of 9.1m/s. How fast was Car A going when it hit Car B? Show all of your work. (Law of Conservation of Momentum)
Answer:
The law of conservation of momentum tells us that momentum is conserved, therefore total initial momentum should be equal to total final momentum. In this case, we can expressed this mathematically as:
mA vA + mB vB = m v
where, m is the mass in kg, v is the velocity in m/s
since m is the total mass, m = mA + mB, we can write the equation as:
mA vA + mB vB = (mA + mB) v
furthermore, car B was at a stop signal therefore vB = 0, hence
mA vA + 0 = (mA + mB) v
1800 (vA) = (1800 + 1500) (7.1 m/s)
vA = 13.02 m/s
Explanation:
Fig. 3.1 shows a house brick of dimensions 21.0 cm x 10.0 cm x 7.00 cm.
21.0 cm
10.0 cm
7.00 cm
Fig. 3.1
The brick is held under water with its largest surfaces horizontal. The density of water is 1000 kg/m3
(a) Calculate the difference in pressure between the top and the bottom surfaces of the brick.
pressure difference
Given:
Lenght = 21 cm
Width = 10 cm
Height = 7 cm
Density = 1000 kg/m^3
Gravity = 9.8 m/s^2
Apply the formula:
Pressure = depth x density x gravity
Depth = Height = 7 cm = 0.07 m
Replacing:
P = 0.07 x 1000 x 9.8 = 686 Pa
Angle of incidence is 70 degrees what is the relection and refraction ray
The angle of incidence = 35°.
The normal divides the angle between the incident and reflected rays into two equal angles. The angle between the incident ray and the normal is called the angle of incidence. The angle between the reflected ray and the normal is called the reflection angle. When a ray of light approaches a smooth and polished surface and bounces off it, it is called a light reflection.
An incident ray striking a surface is reflected by the surface. A reflected ray is called a reflected ray. The difference between light reflection and refraction is simple. In reflection, a ray hitting a plane returns to its original source/medium as the wave bounces off the surface. However, when refracted, the wave passes through the surface, changing its speed and direction.
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PLEASE HELP ME I NEED THIS ASAP
Investigating Energy Systems
Harnessing Human Energy Chapter 1 Lesson 1.2
Reasoning Tool
Possible subclaims:
The Battery System does have energy.
or
The Battery System does not have energy.
The Hand-Crank Generator System does have energy.
or
The Hand-Crank Generator System does not have energy.
The Solar Cell System does have energy.
or
The Solar Cell System does not have energy.
Evidence
(observations about whether the system does or does not have energy)
This matters because . . .
(How does this evidence support the subclaim?)
Therefore, . . .
(subclaim)
The Battery System does have energy, the Hand-Crank Generator System does not have energy and the Solar Cell System does have energy.
The Battery System does have energy.
Because the battery can be charged again and again by using the source of energy like windmill or dam. The battery can convert chemical energy to electrical energy. If initiated the whole chemical energy will be converted only
The Hand-Crank Generator System does not have energy.
Because, it will only produced energy only as long the hand is moving the generator. It will not produced any energy if it is not moved.
The Solar Cell System does have energy. Because it contains energy of sun converted directly in to the electrical form and it will release energy spontaneously.
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what are chemical properties of acid
A m= 25.7 kg object is released from rest at a distance h= 0.523059 R above the earth's surface. the acceleration of gravity is 9.8 m/s^2. for the earth, RE= 6.38 x 10^6 m, M= 5.98 x 10^24 kg. the gravitational acceleration at the surface of the earth is g =9.8 m/s^2. find the speed of the object when it strikes the earth's surface. neglect any atmospheric friction.
caution: you must take into account that the gravitational acceleration depends on distance between the object and the center of the earth. answer in units of m/s
The speed of the object when it strikes the earth's surface is 8087.45 m/s
We'll begin by obtainig the time taken for the object to strike the earth's surface. This can be obtained as follow:
Initial velocity (u) = 0 m/sRadius of earth (R) = 6.38×10⁶ mHeight (h) = 0.523059R = 0.523059 × 6.38×10⁶ = 3337116.42 mAcceleration due to gravity (g) = 9.8 m/s²Time (t) =?h = ½gt²
3337116.42 = ½ × 9.8 × t²
3337116.42 = 4.9 × t²
Divide both side by 4.9
t² = 3337116.42 / 4.9
Take the square root of both side
t = √(3337116.42 / 4.9)
t = 825.25 s
Finally, we shall determine the speed the object used in striking the earth's surface. This can be obtained as follow:
Time (t) = 825.25 sAcceleration due to gravity (g) = 9.8 m/s²Speed (v) =?v = gt
v = 9.8 × 825.25
v = 8087.45 m/s
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WHAT FAMILY DOES THIS BELOND TO?
PLEASE ANSWER WILL MARK BRAINIEST
Answer:
See below
Explanation:
2 - 8 - 2 is the configuration for Mg Magnesium is an alkaline earth metal
Diane is writing a summary statement of her experiment. This statement is
written.
A after data is collected and analyzed
B before writing the scientific question
C before writing the hypothesis
D at the same time data is collected.
.
A sled and rider with a combined weight of 70.0 kg are at rest on the top of a hill 11.0 m high. (Enter your answers in J.)(a)What is their total energy at the top of the hill? answer in______J(b)Assuming there is no friction, what would the total energy be on sliding halfway down the hill? answer in_______J(c)What would the total energy be at the bottom of the hill? answer in_________J
We will ahve the following:
a)
[tex]\begin{gathered} E=mgh \\ \\ \Rightarrow E=(70.0kg)(9.8m/s^2)(11.0m)\Rightarrow E=7546J \end{gathered}[/tex]So, the total energy will be 7546 J.
b) The total energy halfway must also be the same, but half of it will be kinetic energy and half potential energy.
c) The total energy at the bottom must be the same, but this time it will be all kinetic energy.
I need help with my work
xplanation:
A swinging edndulum bob performs a simple harmonic motion under the influence of the gravity of the earth. In simple harmonic motion, the restoring force acts on the displaced mass which continuously tries to bring the mass to the equilibrium position.
The object of mass m falls due to the gravity of the earth.
Thus for the motion of the pendulum, a gravitational force acts as a restoring force and the object of mass will fall due to the gravity of the earth. The motion of the pendulum and the falling mass is due to the gravity of the earth and the acceleration due to the gravity of the earth is independent of the mass that is accelerating towards the earth.
inal answrer:
The correct option is (B) although they both accelerate due to gravity at the same rate, a restoring force acts on the bob.
How is Sonar method different from Radar method
Sonar systems function using sound waves mostly in water, whereas radar systems operate primarily using radio frequencies in the air. Despite the medium difference, radar and sonar's identical underlying concepts frequently lead to technical convergence.
Why do we use sonar instead of radar?Sonar, which stands for Sound Navigation and Ranging, is beneficial for exploring and charting the ocean since sound waves travel farther in water than radar and light waves do.
RADAR transmits electromagnetic waves, whereas active SONAR transmits acoustic (sound) waves. Both systems rely on these waves returning echoes from particular features or targets to determine the most important properties and qualities of the target (i.e., shape, size, speed, distance, etc.).
Both of these sensor systems depend on the sending and receiving of return signals to operate. While sonar systems function largely with sound waves in water, radar systems primarily use radio waves in the air.
Active SONAR transmits acoustic (sound) waves, whereas RADAR transmits electromagnetic waves. Both systems rely on these waves returning echoes from specific features or targets to identify the target's crucial characteristics and traits (i.e., shape, size, speed, distance, etc.).
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What would the mechanical advantage of a ramp be if the length is 20 feet and the height is 5 feet?
100
8
1000
4
please use a multiple choice answer for branliest (how ever you spell it)
module 2 question 2
Find the components of vtot along the x and y axes in Figure 3.25, where = 25.0° and vtot = 6.00 m/s.
vtot, x =
what is x? I've seen others put 4.41 but it is wrong.
m/s
vtot, y = 5.07
The x and y component of [tex]V_{tot}[/tex] where θ = 25° and [tex]V_{tot}[/tex] = 6 m / s are 4.68 m / s and 3.72 m / s respectively.
Resolving [tex]V_{tot}[/tex] into its x and y components,
sin θ = [tex]V_{tot,y}[/tex] / [tex]V_{tot}[/tex]
sin 51.5° = [tex]V_{tot,y}[/tex] / 6
[tex]V_{tot,y}[/tex] = 4.68 m / s
cos θ = [tex]V_{tot,x}[/tex] / [tex]V_{tot}[/tex]
cos 51.5° = [tex]V_{tot,x}[/tex] / 6
[tex]V_{tot,x}[/tex] = 3.72 m / s
These are called as trigonometric ratios. Some of the basic formulae are:
sin θ = Opposite side / Hypotenusecos θ = Adjacent side / Hypotenusetan θ = Opposite side/ Adjacent sideTherefore, the x and y component of [tex]V_{tot}[/tex] are 4.68 m / s and 3.72 m / s respectively.
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What is momentum?.
.
.
.
The quantity of motion of a moving body, measured as a product of its mass and velocity.
What is velocity?The primary indicator of an object's position and speed is its velocity. It is the distance that an object travels in one unit of time. The displacement of the item in one unit of time is the definition of velocity.velocity is a term that describes the speed and direction of a point's motion.Velocity is the pace and direction of an object's movement, whereas speed is the time rate at which an object is travelling along a path.To learn more about : Velocity
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which mass is the lightest between 5m/s,0m/s and 3m/s?
EXPERIMENT: COMPARING HARDNESS AND DENSITY OF SOLIDS 100 POINTS I NEED THIS DONE
In this activity, you will identify several minerals, then you will compare the minerals to determine if there is a relationship between the hardness of a sample and its density. You should consider the factors that determine the density and the hardness of a material and then form a hypothesis as to whether you believe these two properties will show a correlation. If they show a correlation, it may indicate that one property depends on or is in some way related to the other property. You should consider this in making your hypothesis. If two properties have a positive correlation, then the graph of their values will be a straight line. You will use this fact to test the accuracy of your hypothesis.
OBJECTIVES
Use several tests, including hardness to identify 6 minerals.
Using hardness and density data, creating a graph.
Explain how to interpret a positive or negative correlation between graphed values.
Answer:
sbdjhdjrjrjrjrjrbdhhrhejejejejejejejejdndndjsj
Answer: My hypothesis was that the future results of the experiment would show a correlation. According to my data, my hypothesis was correct. The file uploaded to this assignment shows that the graph is a correlation but not a 100% positive correlation because if you imagined there was a straight line there, the points would be completely aligned. The correlation is simply a “positive correlation”. Some of the difficulties I had when performing the experiment was distinguishing which type of luster was for each mineral because the light almost looked the same with other minerals. You might change the procedure to avoid this problem in the way of getting all the rest of the results for that specific mineral and then look at which of the graph with the answers was most alike and then you can see why the luster is that certain result in that data which is the correct one. A graphical analysis can be used to explore the relationship between any two scientific variables by changing the numerical data of the experiment into a graph, which is a much more effective and easier way of interpreting the gathered results. It's easier to visualize a graph data than read all the tables with numbers.
The graph is in the attachment below and the 6 minerals also with their names, their density, and their hardness
velocity of a body of mass 20kg decreases from 20m/s to 5m/s in a distance of 100m . force on the body is
The force on the body of 20 kg mass is F = 11.2 N
Equation :To calculate the force of the body use the formula
F = ma
Where,
F is force
m is mass
a is acceleration
Given data are :
m = 20 kg
a = ?
v = 20 m/s
u = 5 m/s
s = 100 m
So, as we have the values of initial velocity, (u), final velocity, v and distance s. First we need to calculate acceleration
Use formula for equation of motion,
v² = u² + 2as
(20 m/s)² = (5 m/s)² + 2 x a x 100 m
400 m/s = 25 m/s + 200 m a
a = 225 m/s / 400 m/s
a = 0.56 m/s²
Now, we have the acceleration.
Calculating force by formula given above;
F = ma
F = 20kg x 0.56 m/s²
F = 11.2 N
Hence, the force on the body of 20 kg mass is F = 11.2 N
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A ball is rolled at a speed of 12 m/seconds after 36 seconds it comes to stop what is the acceleration of the ball
Answer:
Approximately [tex](-0.33)\; {\rm m\cdot s^{-2}}[/tex] ([tex](-1/3)\; {\rm m\cdot s^{-2}}[/tex]) on average.
Explanation:
Acceleration is the rate of change in velocity.
For the ball in this question:
Initial velocity: [tex]u = 12\; {\rm m\cdot s^{-1}}[/tex].Final velocity: [tex]v = 0\; {\rm m\cdot s^{-1}}[/tex] since the ball has stopped.Time required: [tex]\Delta t = 36\; {\rm s}[/tex].Subtract the initial velocity [tex]u[/tex] from the final velocity [tex]v[/tex] to find the change in velocity:
[tex]\begin{aligned}(\text{change in velocity}) &= (\text{final velocity}) - (\text{initial velocity}) \end{aligned}[/tex].
[tex]\begin{aligned}\Delta v &= v - u \\ &= 0\; {\rm m\cdot s^{-1}} - 12\; {\rm m\cdot s^{-1}} \\ &= (-12)\; {\rm m\cdot s^{-1}} \end{aligned}[/tex].
(Note that the change in velocity is negative because the final velocity [tex]v = 0\; {\rm m \cdot s^{-1}}[/tex] is more negative than the initial velocity [tex]u = 12\; {\rm m\cdot s^{-1}}[/tex].)
To find the average acceleration [tex]a[/tex] (average rate of change in velocity,) divide the change in velocity [tex]\Delta v[/tex] by the time [tex]\Delta t[/tex] required to achieve such change:
[tex]\begin{aligned}(\text{average acceleration}) &= \frac{(\text{velocity change})}{(\text{time required for change})}\end{aligned}[/tex].
[tex]\begin{aligned} a &= \frac{\Delta v}{\Delta t} \\ &= \frac{(-12)\; {\rm m\cdot s^{-1}}}{36\; {\rm m\cdot s^{-1}}} \\ &\approx (-0.33) \; {\rm m\cdot s^{-2}}\end{aligned}[/tex].
(Average acceleration is negative since velocity is becoming less positive.)
The radius of a wheel is 0.680 m. A rope is wound around the outer rim of the wheel. The rope is pulled with a force of magnitude 5.00 N, unwinding the rope and making the wheel spin CCW about its central axis. Ignore the mass of the rope.What is the angular displacement Δθ, in radians, of the wheel during 1.20 revolution?
Givens.
• The radius of the wheel is 0.680 m.
,• The applied force is 5.00 N, and it's a tangential force.
,• The number of revolutions is 1.20.
We need to find the circumference of the wheel, use the circumference formula.
[tex]C=2\pi r[/tex]Where r = 0.680 m and pi = 3.14.
[tex]C=2\cdot3.14\cdot0.680=4.27m[/tex]The circumference of the wheel is 4.27 meters.
It's important to notice that the circumference represents 1 revolution, so for 1.20 revolutions we have
[tex]1.20\text{rev}\cdot\frac{4.27m}{1\text{rev}}=5.12m[/tex]This means the total distance covered is 5.12 m. However, the displacement is different because it takes into account only the change of position, so basically, the displacement would be 0.20 revolutions because at 1 revolution we are at the same starting point.
[tex]0.20\text{rev}\cdot\frac{4.27m}{1\text{rev}}=0.854m[/tex]Therefore, the total displacement is 0.854 meters.
However, we need to find the angular displacement, so
[tex]\theta=\frac{d}{r}=\frac{0.854m}{0.680m}=1.26\text{rad}[/tex]Hence, the angular displacement is 1.26 radians.
The rate at which goods and services can be produced is called
a)capital investment.
b)productivity.
c)producer price output.
d)human capital.
Answer:
productivity
Explanation:
it's the efficiency of production of goods or services
Answer:
Explanation:
The rate at which goods and services can be produced is called
b) productivity.
How many measures are there until the next part enters in Kookaburra?
A. 2
B. 1
C. 3
D. 4
Option C) 3. There are about 3 measures until the next part enters in Kookaburra through the expression in Australian countryside.
What is the meaning of the Kookaburra song?The expression probably first appeared because of how many bushes and scrub there are in the Australian countryside. Gay — Up until the middle of the 1950s, the word gay denoted happiness and carelessness.
It therefore signified “happy and carefree” during the time this song was penned.
Do kookaburras make good pets?The state has issued them licenses and permits. For authorized and permitted educational initiatives, both kookaburras serve as educational ambassadors. Kookaburras are not recommended as pets by anyone.
They may be very unpredictable, demand a lot of space, must be maintained in a pack, are very loud, and need a special diet.
What food does a kookaburra consume?They consume insects, beetles, worms, frogs, small animals, snakes, lizards, and lizards.
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Question 8 of 10
Which change to a circuit is most likely to decrease its electrical power?
OA. Increase its voltage and increase its current.
о B. Decrease its voltage and decrease its current.
O C. Decrease its voltage and increase its current.
OD. Increase its voltage and decrease its current.
Decrease its voltage and decrease its current change to a circuit is most likely to decrease its electrical power.
The correct option is B.
What is voltage explain?When charged electrons (current) are forced through a conducting loop by the pressure of an electric circuit's power source, they may perform tasks like lighting a lamp. In a nutshell, voltage equal pressure and is expressed in volts.
What is the basic voltage unit?Electric potential difference, often referred to as voltage, is measured in units called volts. According to official definitions, a volt is the difference in potential between two locations on a wire that's also conveying a current of one ampere and dissipating one watt of power.
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Pls explain ........................
Option A that is 8.6 x 10^4 volt is the potential difference between a point 0.79 mm from a charge of 7.6nC and a point of infinity.
What is potential difference how it is calculated out to be so?Potential difference can be stated as the difference of electrical potential between two points stated.Here in this question is given the charge 7.6 nC that is 7.6 x 10^-9 and the radius 0.79 mm that is 0.79 x 10^-3 m.Here the potential difference can be calculated out to be by the equation V = k x Q /R , where k is proportionality constant given in equation.V= 8.99 x 10^9 x 7.6x 10^-9 / 0.79 x 10^-3 , putting all the values in the equation.Finally the potential difference is calculate out to be 8.65 x 10^4 volts.To know more about potential difference visit:
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You have a parallel‑plate 5.13×10−6 F capacitor that is charged to 0.00967 C. While the capacitor is isolated, you change the plate separation so that the capacitance becomes 1.27×10−6 F. How much work do you perform in this process?
The work done to separate the plates of the parallel plate capacitor that's charged to a 0.00967 C is 2864.5 J
U = 1 / 2 C V²
U = Initial energy
C = Capacitance
V = Electric Potential
Q = Charge
C[tex]_{i}[/tex] = 5.13 μ F
Q[tex]_{i}[/tex] = 9.67 m C
C[tex]_{f}[/tex] = 1.27 μ F
As the capacitor is isolated, there'll be no further current flow and charge will remain constant.
Q[tex]_{f}[/tex] = Q[tex]_{i}[/tex] = 9.67 m C
Q = C V
Q² = ( C V )²
U[tex]_{i}[/tex] = 1 / 2 * C[tex]_{i}[/tex] * V[tex]_{i}[/tex]²
U[tex]_{i}[/tex] = 0.5 * ( C[tex]_{i}[/tex] * [tex]V_{i}[/tex] )² / C[tex]_{i}[/tex]
U[tex]_{i}[/tex] = 0.5 * Q[tex]_{i}[/tex]² / C[tex]_{i}[/tex]
U[tex]_{i}[/tex] = 0.5 * ( 9.67 * [tex]10^{-3}[/tex] / 5.13 * [tex]10^{-6}[/tex] )
U[tex]_{i}[/tex] = 942.5 J
U[tex]_{f}[/tex] = 1 / 2 * C[tex]_{f}[/tex] * [tex]V_{f}[/tex]²
U[tex]_{f}[/tex] = 0.5 * ( C[tex]_{f}[/tex] * [tex]V_{f}[/tex] )² / C[tex]_{f}[/tex]
U[tex]_{f}[/tex] = 0.5 * Q[tex]_{f}[/tex]² / C[tex]_{f}[/tex]
U[tex]_{f}[/tex] = 0.5 * ( 9.67 * [tex]10^{-3}[/tex] / 1.27 * [tex]10^{-6}[/tex] )
U[tex]_{f}[/tex] = 3807 J
W = U[tex]_{f}[/tex] - U[tex]_{i}[/tex]
W = 3807 - 942.5
W = 2864.5 J
Therefore, the work done to separate the plates of the parallel plate capacitor is 2864.5 J
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module 2 question 17
Figure 4.25
(a) What is the mass of the child and basket if a scale reading of 100 N is observed?
kg
(b) What is the tension T in the cord attaching the child to the scale?
N
(c) What is the tension T' in the cord attaching the scale to the ceiling, if the scale has a mass of 0.300 kg?
N
(d) Draw a sketch of the situation indicating the system of interest used to solve each part. The masses of the cords are negligible. (Do this on paper. Your instructor may ask you to turn in this work.)
a ) The mass of the child and basket = 5.61 kg
b ) The tension T in the cord attaching the child to the scale = 55 N
c ) The tension T' in the cord attaching the scale to the ceiling = 57.94 N
a ) The mass of the child and basket,
[tex]W_{b}[/tex] = 55 N
g = 9.8 m / s²
W = m g
[tex]m_{b}[/tex] = [tex]W_{b}[/tex] / g
[tex]m_{b}[/tex] = 55 / 9.8
[tex]m_{b}[/tex] = 5.61 kg
b ) In the cord attaching the child to the scale,
∑ [tex]F_{y}[/tex] = 0
T - W = 0
T = W
T = 55 N
c ) In the cord attaching the scale to the ceiling,
[tex]m_{s}[/tex] = 0.3 kg
[tex]W_{s}[/tex] = [tex]m_{s}[/tex] * g
[tex]W_{s}[/tex] = 0.3 * 9.8
[tex]W_{s}[/tex] = 2.94 kg
∑ [tex]F_{y}[/tex] = 0
T - [tex]W_{s}[/tex] - [tex]W_{b}[/tex] = 0
T = 2.94 + 55
T = 57.94 N
Therefore,
a ) The mass of the child and basket = 5.61 kg
b ) The tension T in the cord attaching the child to the scale = 55 N
c ) The tension T' in the cord attaching the scale to the ceiling = 57.94 N
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A girl is moving in a straight line at a velocity of 3 m/s and starts to slow down at a constant rate. If she stops 6 seconds later, what is her acceleration?
The acceleration of the girl moving in a straight line at a velocity of 3 m/s is - 0.5 m / s²
a = v - u / t
a = Acceleration
v = Final velocity
u = Initial velocity
t = Time
v = 0
u = 3 m / s
t = 6 s
a = ( 0 - 3 ) / 6
a = - 0.5 m / s²
The negative symbol signifies that she is decelerating.
Deceleration is the acceleration in opposite direction. As a result, the body will lose velocity at a constant pace. Hence, if the acceleration has a negative value it is called as Deceleration.
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