Answer:
The answer is 2.9. g
Explanation:
7.9 - 5.0 = 2.9
I hope this helps!
Which statement best expresses Newton's second law of motion?
A: The acceleration of an object depends on the balance between the net applied forces.
B: The acceleration of an object depends on the balance between friction and gravity.
C: The acceleration of an object depends on the object's mass and the net applied force.
D: The acceleration of an object depends on the object's mass and its velocity.
Answer:
option C
since F=ma
the acceleration of an object depends on the object's mass and the net applied force
A storm is moving east towards your house at an average speed of 35 km / hr. If the storm is currently 80 km from your house, how much time do you expect it to arrive
Answer:
The expected time is 2.28 hours.
Explanation:
The speed of storm = 35 km/hr
The distance between the house and the storm = 80 km.
Now, we have to find the time taken by storm to arrive at the house. Here, we can determine the time by dividing the distance with speed.
The time, taken by storm = Distance/speed
The time, taken by storm = 80 / 35
The time, taken by storm = 2.28 hours.
what can occur when a wave passes from one medium into another?
Answer: Refraction is an effect that occurs when a light wave, incident at an angle away from the normal, passes a boundary from one medium into another in which there is a change in velocity of the light The wavelength decreases as the light enters the medium and the light wave changes direction.
Let me know if you need anything else
Have a great day.
Will give brainliest, Pleaseee help!!!
The girl is pulling the wagon at an angle of 36.9 degrees. She is pulling with a force of 50N and the boy is pushing with a force of 30N. The mass of the wagon and books together is 90 KG. Determine the force of gravity and the normal force acting on the wagon and books.
Answer:
below
Explanation:
1.1115 im not sure tho
hello, how to do qn 5?:)l
Answer:
A
Explanation:
Please see the attached picture for the full solution.
Since we are only concerned about the decrease in gravitational potential energy of the car, we look at the decrease in height of the car as it moves from point X to point Y, instead of the distance travelled by the car.
The amount of energy involved in melting a substance without changing its temperature is called the:
A) heat of vaporization.
B) calorie.
C) joule.
D) heat of fusion.
E) heat of combustion.
The amount of energy involved in melting a substance without changing its temperature is called the heat of fusion (D).
What is the heat of fusion?Heat of fusion refers to the amount of heat energy required to melt or freeze a unit mass or a quantity of a substance. Heat of fusion is expressed in joules per gram (J/g) or in calories per gram (cal/g). The amount of energy needed to melt a solid substance into a liquid state at a constant temperature is the heat of fusion. The temperature of a substance remains constant during the melting process because the energy being added is used to break the intermolecular bonds between the molecules of the substance.
Hence, the correct answer is Option D.
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Describe one practical use of a concave mirror.
Answer:
Here are some uses...
Explanation:
Uses of convex mirror:
It is used in supermarkets and stores for surveillance.
It it is used as rear view mirror in automobiles.this is due to the reason that a convex mirror provides a wider field of view than a plane or concave mirror.
Uses of concave mirror:
It is used in torches.
They are used in headlights of vehicles to send parallel rays to infinity , in shaving mirror to get an enlarged image of the face and also by dentists to see a bigger image of the tooth / teeth .
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Hello, could someone please help me. thank you view the pics below.
The particles that are in the interior of the atom are the nucleons while the particles at those on the shells are the electrons.
What are the Subatomic particles in the atom?Atoms are composed of three types of subatomic particles: protons, neutrons, and electrons.
Protons: Positively charged particles that are found in the nucleus of an atom. The number of protons in an atom's nucleus is called its atomic number, which determines the identity of the element.
Neutrons: Neutral particles that are also found in the nucleus. The number of neutrons in an atom can vary, and they help to determine the mass of an atom.
Electrons: Negatively charged particles that occupy the electron cloud or shells surrounding the nucleus. Electrons are much lighter than protons and neutrons and are involved in chemical reactions. The arrangement of electrons in an atom determines its chemical properties and reactivity.
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the frequency of a mass-spring oscillator depends on (select all that apply)
The frequency of a mass-spring oscillator depends on the mass of the object and the stiffness of the spring.
In a mass-spring oscillator, the frequency is determined by the mass (m) of the object attached to the spring and the spring constant (k), which represents the stiffness of the spring. The relationship between these factors can be expressed using the formula:
f = (1 / 2π) √(k / m)
In this formula, f represents the frequency of the oscillator. As the mass of the object increases, the frequency decreases, since the system takes more time to complete one oscillation. Conversely, as the spring constant increases, indicating a stiffer spring, the frequency also increases, as the system oscillates more quickly.
This relationship demonstrates that both the mass and the spring constant play a crucial role in determining the frequency of a mass-spring oscillator. By understanding and manipulating these factors, it is possible to control the behavior of such oscillating systems, which have numerous applications in fields such as engineering, physics, and mechanics.
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14. Red litmus paper turns ______ when it comes in touch with a(n) _______
A.blue, base
B.blue, acid
Answer:
Hello There!!
Explanation:
The answer is=>A.blue, base.
hope this helps,have a great day!!
~Pinky~
\(\huge{\textbf{\textsf{{\color{navy}{An}}{\purple{sw}}{\pink{er}} {\color{pink}{:}}}}}\)
A.blue, base.
ThanksHope it helps.What was the initial speed of a car if its speed is 40 m/s after 5 seconds of accelerating at -4 m/s²?
A. 50 m/s
B. 60 m/s
C. 25 m/s
D. 20 m/s
Answer:
\(\huge\boxed{\sf V_i=60 \ m/s}\)
Explanation:
Given Data:Final speed = \(V_f\) = 40 m/s
Time = t = 5 s
Acceleration = a = -4 m/s²
Required:Initial velocity = \(V_i\) = ?
Formula:\(\displaystyle a = \frac{V_f-V_i}{t}\)
Solution:Put the givens in the above formula
\(\displaystyle -4=\frac{40 - V_i}{5} \\\\Multiply \ -5 \ to \ both \ sides\\\\-4 \times 5 = 40 - V_i\\\\-20 =40-V_i\\\\Subtract \ 40 \ to \ both \ sides\\\\-20-40=-V_i\\\\-60\ m/s=-V_i\\\\60 \ m/s = V_i\\\\V_i=60 \ m/s\\\\\rule[225]{225}{2}\)
Record your data for each trial in the table below.
Size of Wire
(Gauge)
Material of Wire
Voltage
Number of
Winds
Resulting Paper
Clips Picked Up
One of the most important relationships between electric and magnetic fields is that a changing electric field produces a magnetic field, and a changing magnetic field produces an electric field.
What is the relationship that exists between the electric and magnetic fields?Electric and magnetic fields are two fundamental components of the electromagnetic force, which is one of the four fundamental forces of nature. The electric field is created by electric charges, while the magnetic field is created by moving electric charges or current.
One of the most important relationships between electric and magnetic fields is that a changing electric field produces a magnetic field, and a changing magnetic field produces an electric field. This is known as electromagnetic induction and is the basis for many technologies, including electric generators and transformers.
Additionally, electric and magnetic fields are intimately related through Maxwell's equations, which describe how electric and magnetic fields interact with each other and with electric charges. These equations show that a changing electric field produces a magnetic field, while a changing magnetic field produces an electric field.
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Date
Points 100
Submitting an external tool
If two objects have the same density, they must have the same
a
mass
b volume
C length to width ratio
d mass to volume ratio
nt?
Check it
Answer:
B
Explanation:
thanks me later
thanks for 5 points love you
hehehehe
Lightning flashes and you hear a thunder clap for seconds later. the velocity of sound is 340 m/s. how far away did lightning strike ?
Answer:
For metric-system conversions, follow this method: Sound travels at about 340 m/s, so multiply the number of seconds you counted by 340, and you'll know how many meters away lightning struck. A three-second count, then, would place the lightning strike about 1,020 m away, or roughly 1 km.
Explanation:
hope it hep and if it doesnt sorry
The distance struck by the lighting flashes is 680 m.
The given parameters;
time taken to hear the thunder clap, t = 4 svelocity of sound, v = 340 m/sThe distance struck by the lighting is calculated by applying the principle of echo as follows;
\(v = \frac{2d}{t} \\\\2d = vt\\\\d = \frac{vt}{2} \\\\d = \frac{340 \times 4}{2} \\\\d = 680 \ m\)
Thus, the distance struck by the lighting flashes is 680 m.
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A solid conducting sphere is given a positive charge Q. How is the charge Q distributed in or on the sphere?
(A) It is concentrated at the center of the sphere.
(B) It is uniformly distributed throughout the sphere.
(C) Its density decreases radially outward from the center.
(D) Its density increases radially outward from the center.
(E) It is uniformly distributed on the surface of the sphere only.
The charge Q is uniformly distributed throughout the sphere. The correct answer is (B)
When a solid conducting sphere is given a positive charge Q, the charge will distribute itself evenly throughout the surface of the sphere due to the repulsion of like charges. This is known as the "Faraday's ice pail experiment".
According to the principle of electrostatics, the charge on a conductor always resides on its surface and distributes itself in a way that the electric field inside the conductor is zero. Since the charge on a conductor always resides on its surface, it follows that the charge Q in this case must be uniformly distributed throughout the surface of the sphere.
Option (A) is not true because the charge is not concentrated at the center of the sphere. If the charge was concentrated at the center of the sphere, the electric field would not be zero inside the conductor, which contradicts the principle of electrostatics.
Option (C) and (D) are not true because the density of the charge does not change radially outward from the center. If the density decreased or increased radially outward, the electric field inside the conductor would not be zero, which again contradicts the principle of electrostatics.
Option (E) is not true because the charge is distributed throughout the entire volume of the sphere, not just on its surface. A solid conductor has free charges that can move throughout its entire volume, so the charge will distribute itself throughout the entire volume of the sphere until the electric field inside the conductor is zero.
Therefore, the correct answer is (B) it is uniformly distributed throughout the sphere.
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a box sits on a board of negligible weight. two supports exert forces on the left and right ends of the board (position is given in meters). the arrows represent the relative sizes of the two force vectors, but their length does not represent their actual magnitudes. restart. how does the force of each support on the board depend on where the box is located? you can drag the box from left to right to view the forces of the supports on the board. suppose the box is exactly halfway between the center and the right support. what is the ratio of the magnitude of the force of the right support on the board to the magnitude of the force of the left support on the board? consider a situation in which the board has significant weight. what then might the force vectors look like when the box is sitting above one of the supports, say for example the left support? check using animation 2. what is the ratio of the weight of the board to the weight of the box in this case?
When the box is exactly halfway between the center and the right support, the ratio of the magnitude of the force of the right support on the board to the magnitude of the force of the left support on the board is 3:1. If the board has significant weight and the box is sitting above the left support, the force vectors will be adjusted accordingly, and the ratio of the weight of the board to the weight of the box would be 1:1.
The force exerted by each support depends on the location of the box on the board. When the box is moved, the force distribution changes to maintain equilibrium. In the given scenario, the box is halfway between the center and the right support. Using the principle of moments, we can calculate the ratio of the forces exerted by the left and right supports, which turns out to be 3:1.
In a situation with significant board weight, the force vectors will be adjusted to maintain equilibrium. When the box is above the left support, both the box's weight and the board's weight will be acting on the left support, resulting in a 1:1 ratio for the weights of the board and the box.
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how much power is used for machine does 28J of work and 7 seconds
Answer:
3N
Explanation:
10. An airplane is flying east at 150m/s. If the forces on the airplane add to 0, describe what will
happen to its motion.
Answer:k
Explanation:k
k
an unknown resistor is connected between the terminals of a 12.0 v battery. energy is dissipated in the resistor at the rate of 0.450 w. the same resistor is then connected between the terminals of a 10.5 v battery. at what rate is energy now dissipated?
The rate at which the energy will now dissipate by the unknown resistor is 0.344 W.
To find the rate at which energy is now dissipated in the unknown resistor connected to a 10.5 V battery, follow these steps:
1. First, find the resistance of the unknown resistor using the power dissipation formula P = V^2/R, where P is the power, V is the voltage, and R is the resistance. Given the 12.0 V battery and a power dissipation of 0.450 W:
0.450 W = (12.0 V)^2 / R
2. Solve for R:
R = (12.0 V)^2 / 0.450 W ≈ 320 ohms
3. Now that we know the resistance, we can calculate the new power dissipation when the unknown resistor is connected to the 10.5 V battery. Use the same power dissipation formula, but this time with the 10.5 V battery:
P_new = (10.5 V)^2 / 320 ohms
4. Solve for P_new:
P_new ≈ (10.5 V)^2 / 320 ohms ≈ 0.344 W
So, when the unknown resistor is connected to the 10.5 V battery, energy is dissipated at a rate of approximately 0.344 W.
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A football player threw a football with a velocity of (3.0 m/s x + 5.0m/s y). How far did it travel horizontally?
The horizontal distance travelled by the football is 3.1 m.
What is the angle of projection of the ball?
The angle of projection of the football is calculated as follows;
tan ( θ ) = Vy / Vx
where;
Vy is the velocity of the ball in the vertical directionVx is the velocity of the ball in the horizontal directiontan ( θ ) = 5 / 3
tan ( θ ) = 1.667
θ = arc tan (1.667)
θ = 59⁰
The resultant velocity of the ball is calculated as follows;
v = √ (Vx² + Vy²)
v = √ (3² + 5²)
v = 5.83 m/s
The horizontal distance travelled by the football is calculated as follows;
x = v² sin(2θ) /g
where;
v is the resultant velocityg is acceleration due to gravityθ is the angle of projection of the ballx = [ (5.83)² sin(2 x 59) /9.8 ]
x = 3.1 m
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What is promising evidence of a habitat that might support life
on the planet Mars?
Detailed Answer please, will give thumb up rating definitely
A promising evidence of a habitat that might support life on the planet Mars is water.
There is evidence supporting the existence of liquid water on Mars from numerous sources. The finding of repeated black streaks on Martian slopes and the presence of hydrated minerals suggest the potential of seasonal or location-specific briny water flows. A necessary component of life as known is liquid water.
Additionally, Mars possesses underground ecosystems that could provide defence against radiation and severe surface conditions. Researchers have found evidence of ancient underground hydrothermal systems as well as beneath ice. These settings might offer consistent conditions for the development of microbial life. Methane gas has been found in the Martian atmosphere, along with variations over time, and this has led to questions regarding its origin. Both geological and biological processes can result in the production of methane.
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Describe how perceptual errors, cognitive biases, or emotions
have negatively affected you in a negotiation. Share at least three
examples (one perceptual error, one cognitive bias, and one
emotional)
Perceptual errors, cognitive biases, and emotions can indeed have negative effects on negotiations. Here are three examples illustrating each:
1. Perceptual error: One common perceptual error is the halo effect, where an overall impression of a person or situation influences the perception of specific attributes or qualities. In a negotiation, I may have made the mistake of perceiving my counterpart as more competent and trustworthy due to their confident demeanor and well-dressed appearance. This perceptual bias may have led me to underestimate their true intentions or overlook potential risks.
2. Cognitive bias: Confirmation bias is a cognitive bias where we seek and interpret information in a way that confirms our pre-existing beliefs or expectations. During a negotiation, I might have had a confirmation bias that my proposed solution was the best option. As a result, I might have selectively paid attention to information that supported my viewpoint and dismissed or ignored evidence that challenged it. This bias could have hindered open-mindedness and prevented me from considering alternative solutions.
3. Emotion: Emotions play a significant role in negotiations and can impact decision-making. For example, I might have experienced strong frustration during a negotiation due to the slow progress and lack of cooperation from the other party. This emotional response could have impaired my ability to think rationally and objectively, leading to impulsive or aggressive behavior. It might have also hindered effective communication and collaboration, potentially damaging the negotiation process.
In negotiations, it's important to be aware of these potential pitfalls and actively work to mitigate their effects. Developing self-awareness, practicing empathy, seeking diverse perspectives, and employing logical analysis can help counteract the negative impact of perceptual errors, cognitive biases, and emotional responses.
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true or false sliding friction is stronger than static friction
Answer:False static friction helps us from not sliding it hold us.
Explanation:
5). A body of mass 75kg lying on a surface of
μ = 0.4 move in the direction of a horizontal force
of 300N applied to it.
a). Calculate the
i). friction force
ii). acceleration of the body
b). Explain the result in aii).
Explanation:
a) i) Calculation of the friction force:
The friction force can be determined using the equation:
friction force = coefficient of friction * normal force
The normal force is equal to the weight of the object, which can be calculated as:
normal force = mass * gravitational acceleration
where the gravitational acceleration is approximately 9.8 m/s².
normal force = 75 kg * 9.8 m/s² = 735 N
friction force = 0.4 * 735 N = 294 N
ii) Calculation of the acceleration of the body:
Now, we can calculate the acceleration using Newton's second law:
net force = mass * acceleration
Since the applied force and the friction force act in opposite directions, the net force can be calculated as:
net force = applied force - friction force
net force = 300 N - 294 N = 6 N
mass = 75 kg
6 N = 75 kg * acceleration
acceleration = 6 N / 75 kg = 0.08 m/s²
b) Explanation:
In part (a), we calculated the friction force to be 294 N and the acceleration of the body to be 0.08 m/s². The positive acceleration indicates that the body is moving in the direction of the applied force.
The friction force opposes the motion of the body and acts in the opposite direction to the applied force. In this case, the applied force of 300 N is greater than the friction force of 294 N. As a result, the net force acting on the body is 6 N in the direction of the applied force.
The small net force of 6 N, compared to the body's mass of 75 kg, results in a relatively low acceleration of 0.08 m/s². This indicates that the body will accelerate slowly in the direction of the applied force due to the presence of friction.
Overall, the friction force and the resulting acceleration of the body are determined by the coefficient of friction (μ) and the mass of the object. In this case, the body experiences a relatively high friction force, leading to a small acceleration.
i GOT DISCONNECTED WITH A TUTOR THAT WAS EXPLAING, NEED HELPIna shoots a large marble (Marble A, mass: 0.08 kg) at a smaller marble (Marble B, mass: 0.05 kg) that is sitting still. Marble A was initially moving at a velocity of 0.5 m/s, but after the collision it has a velocity of −0.1 m/s. What is the resulting velocity of marble B after the collision? Be sure to show your work for solving this problem along with the final answer.
Given that,
The mass of marble A, m₁=0.08 kg
The mass of marble B, m₂=0.05 kg
The initial velocity of marble A, u₁=0.5 m/s
As the marble B was at rest, the initial velocity of marble B is u₂=0 m/s
The final velocity of marble A, v₁=-0.1 m/s
Let the final velocity of marble B be v₂.
According to the law of conservation of momentum, the total momentum before the collision is equal to the total after the collision.
Therefore
\(m_1u_1+m_2u_2=m_1v_1+m_2v_2\)On rearranging the above equation,
\(v_2=\frac{m_1u_1+m_2u_2-m_1v_1}{m_2}\)On substituting the known values in the above equation,
\(\begin{gathered} v_2=\frac{0.08\times0.5+0.05\times0-0.08\times-0.1}{0.05} \\ =\frac{0.048}{0.05} \\ =0.96\text{ m/s} \end{gathered}\)Therefore the
Answer:
See below
Explanation:
Use conservation of momentum (rather than Kinetic Energy ) for collision problems:
Momentum A = mv = .08 * .5 = .04 km m/s
Momentum B = mv = 0
Total Momentum = .04 + 0 = .04 kg m/s
After collision the sum must be the same
A = mv = .08 ( -.1 ) = - .008 kg m/s
B = m vb = .05 vb
.04 = - .008 + .05 vb
vb = + .96 m/s in the same direction as original A direction
You get an email from Amazon that does not use your name, has some misspelled words in it, and
has an attachment. Be careful! This might be an example of:
O plagiarism.
O piracy.
O cyber bullying.
O phishing.
Answer:
plagiarism
Explanation:
thats the answer because plagiarism means: the practice of taking someone else's work or ideas and passing them off as one's own.
Thats the definition!!!
lmk if this helped
Answer:phishing
Explanation:the definition of phishing is: the fraudulent practice of sending emails purporting to be from reputable companies in order to induce individuals to reveal personal information, such as passwords and credit card numbers.
a heat engine gives out 400J of heat energy as the useful work.calculate the energy given to it as input if its efficiency is 40%?
Answer:
E(efficiency) = E(out) / E(in)
.4 = 400 J / E (in)
E (in) = 1000 J
Heat input : 1000J
What is efficiency of a heat engine ?
The efficiency of a heat engine is defined as the ratio of work done by the heat engine absorbed per cycle.
Given : work output = 400 J
Efficiency = 40 % = 0.4
heat input = ?
Efficiency = work output / heat input
0.4 = 400/heat input
heat input : 1000J
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According to the conservation of angular momentum, when the mass of a rotating object becomes more concentrated, what will happen to the rotation rate?
The rotation rate of the object will increase if the mass of the rotating object becomes more concentrated.
The law of conservation of angular momentum states that the angular momentum of a rotating objects remains constant if no external torque is applied to it.
I₁ω₁ = I₂ω₂
Where, I₁ is the moment of inertia = Mr₁²
I₂ = Mr₂²
Initial angular momentum = ω₁
Final angular momentum = ω₂
If the mass becomes more concentrated, it means the radius of the rotation becomes less then,
ω₂ = Mr₁²ω₁/Mr₂²
ω₂ = (r₁/r₂)²×ω₁
Since r₁ > r₂, so ω₂ > ω₁
Hence we can say that the rotation rate will increase if the mass becomes more concentrated.
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Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone normally found is 7.0 parts/million (ppm). A researcher believes that the current ozone level is at an insufficient level. The mean of 1080 samples is 6.9. Assume the standard deviation is known to be 1.1. Does the data support the claim at the 0.02 level? Step 3 of 5 : Specify if the test is one-tailed or two-tailed. Answer 2 Points Keyboard Shortcuts One-Tailed Test Two-Tailed Test Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone normally found is 7.0 parts/million (ppm). A researcher believes that the current ozone level is at an insufficient level. The mean of 1080 samples is 6.9 ppm. Assume the standard deviation is known to be 1.1. Does the data support the claim at the 0.02 level? Step 1 of 5: Enter the hypotheses: Answer 2 Points Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone normally found is 7.0 parts/million ( ppm ). A researcher believes that the current ozone level is at an insufficient level. The mean of 1080 samples is 6.9ppm. Assume the standard deviation is known to be 1.1. Does the data support the claim at the 0.02 level? Step 2 of 5: Enter the value of the z test statistic. Round your answer to two decimal places. Answer How to enter your answer (opens in new window) 2 Points Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone normally found is 7.0 parts/million (ppm). A researcher believes that the current ozone level is at an insufficient level. The mean of 1080 samples is 6.9 ppm. Assume the standard deviation is known to be 1.1. Does the data support the claim at the 0.02 level? Step 5 of 5 : Enter the conclusion. Answer 2 Points Keyboard Shortcuts Reject Null Hypothesis Fail to Reject Null Hypothesis Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone normally found is 7.0 parts/million (ppm). A researcher believes that the current ozone level is at an insufficient level. The mean of 1080 samples is 6.9 ppm. Assume the standard deviation is known to be 1.1. Does the data support the claim at the 0.02 level? Step 4 of 5 : Enter the decision rule. Answerhow to enter your answer (opens in new window) 2 Points Keyboard Shortcuts Reject H 0
if z
Assuming that the standard deviation is known to be 1.1, for a mean of 1080 samples, it can be said that the data supports the claim that the current ozone level is insufficient at the 0.02 level.
Step 1 of 5: Enter the hypotheses:
Null hypothesis (H0): The current ozone level is sufficient (μ = 7.0 ppm)
Alternative hypothesis (H1): The current ozone level is insufficient (μ < 7.0 ppm)
Step 2 of 5: Enter the value of the z-test statistic:
To find the z-test statistic, we'll use the formula:
z = (X' - μ) / (σ / √n)
where:
X' = sample mean = 6.9 ppm
μ = population mean = 7.0 ppm
σ = standard deviation = 1.1 ppm
n = sample size = 1080
Substituting the values into the formula:
z = (6.9 - 7.0) / (1.1 / √1080)
z = -0.1 / (1.1 / 32.863)
z ≈ -0.1 / 0.033157
z ≈ -3.018
Step 4 of 5: Enter the decision rule:
Since the alternative hypothesis is one-tailed (μ < 7.0 ppm), we need to compare the z-test statistic with the critical value for the given significance level.
At a significance level of 0.02, the critical value can be found using a z-table or a calculator. For a one-tailed test, the critical value is approximately -2.055.
Step 5 of 5: Enter the conclusion:
The z-test statistic (-3.018) is smaller than the critical value (-2.055). Therefore, we reject the null hypothesis.
Conclusion: The data supports the claim that the current ozone level is insufficient at the 0.02 level.
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A potential difference of 12 V is found to produce a current of 0.40 A in a 3.2-m length of wire with a uniform radius of .40cm. A) Whais the resistance of the wire ans B) what is the resistivity of the wire?
A. The resistance of the wire if a potential difference of 12 V is found to produce a current of 0.40 A in a 3.2-m length of wire with a uniform radius of 0.40cm is 30 ohm.
B. The resistivity of the wire is 4.71 × 10⁻⁶ ohm-meters.
To find the resistance of the wire, we can use Ohm's Law:
V = IR
Where V is the potential difference (12 V), I is the current (0.40 A), and R is the resistance.
Rearranging the formula to solve for R, we get:
R = V/I
Substituting the values, we have:
R = 12 V / 0.40 A
R = 30 Ω
So, the resistance of the wire is 30 ohms.
To find the resistivity of the wire, we can use the formula:
R = ρ(L/A)
Where R is the resistance (30 Ω), ρ is the resistivity, L is the length of the wire (3.2 m), and A is the cross-sectional area of the wire.
First, let's find the cross-sectional area (A) using the formula for the area of a circle:
A = πr²
where r is the radius of the wire (0.40 cm = 0.004 m).
A = π(0.004 m)²
A ≈ 5.027 × 10^-5 m²
Now we can rearrange the resistivity formula to solve for ρ:
ρ = R(A/L)
Substituting the values, we get:
ρ = 30 Ω (5.027 × 10⁻⁵ m²) / 3.2 m
ρ ≈ 4.71 × 10⁻⁶ Ω·m
So, the resistivity of the wire is approximately 4.71 × 10⁻⁶ ohm-meters.
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