Maximum error in the result of the sum of measurement is equal to the sum absolute error of the individual observed measurements
(a) The maximum error in D is 0.09
(b) The standard error in D is approximately 0.034
The procedure for arriving at the above values is as follows;
The given measurements and the sited errors are;
A = 15.21 + 0.01
B = 10.82 + 0.05
C = 11.00 + 0.03
D = A + B + C
(a) Required parameter;
To calculate the maximum error in D
The equation for the propagation of error in addition is presented as follows;
Given that we have;
x = a + b
Therefore;
x + ±Δx = (a ± Δa) + (b ± Δb) = a + b ± (Δa + Δb)
∴ Δx = Δa + Δb
From the above formula, we have;
Where;
D = A + B + C
The maximum error in D = The sum of the maximum error in A, B, C
∴ The maximum error in D = 0.01 + 0.05 + 0.03 = 0.09
(b) Required parameter:
To find the standard error in D
The standard error is the sampling distribution's standard deviation, SD
Variance = SD²
The combined variance, SD² = The sum of the squares of individual standard deviations
Given that the standard errors represents the standard deviation, we get;
The combined variance, SD² = 0.01² + 0.05² + 0.03²
The combined variance, SD = √(0.01² + 0.05² + 0.03²) = 0.059
[tex]Standard \ error = \dfrac{SD}{\sqrt{n} }[/tex]
Where n = 3, for the three measurement, we get;
[tex]Standard \ error = \dfrac{\sqrt{0.01^2 + 0.05^2 + 0.03^2} }{\sqrt{3} } \approx 0.034[/tex]
The standard error in D is approximately 0.034
Learn more about maximum error and standard error here:
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An unbalanced 6.0-newton force acts eastward on an object for 3.0 seconds. The impulse
produced by the force is
18 N:s east
2 Nós east
18 N:s west
2 Nis west
What is the mass of a neutron?
Answer:
1
Explanation:
Answer:
I think 1 amu
Sorry if it is wrong.
a uniform meter ruler is balanced at its midpoint
Answer:
a) i) x = 0.25 m, ii) x = 0.10 m, iii) x = 0.050 m
b) i) x = 0.40 m
Explanation:
a) For this exercise we use the rotational equilibrium equation, where we assume that the anticlockwise rotations are positive.
1) L = 2W
we set our reference system in the center of the bar where the fulcrum is
∑τ = 0
W 0.50 - L x = 0
x = 0.50 W / L
we substitute the value
x = 0.50 W / 2W
x = 0.25 m
ii) L = 5W
we calculate
x = 0.50 W / 5W
x = 0.10 m
iii) L = 10 W
x = 0.50 W / 10W
x = 0.050 m
b) a new weight is placed at x₂ = 30 cm on the left side
W 0.50 + W 0.30 - L x = 0
x = (0.50 + 0.30) W / L
x = 0.80 W / L
we calculate
i) L = 2W
x = 0.80 w / 2w
x = 0.40 m
what is measurment ?
Answer:
Measurement is the act or the process of finding the size, quantity or degree of something.
Explanation:
We can measure the length, weight, and capacity (volume) of any given object.
write any two features of capital
Which statement should he place in the region marked X?
Explanation:
The answer is Electrons move between objects.
which compound has molecules
Answer:
Molecular compounds have molecules
Un ladrillo de 2kg que se encuentra a 200º c, se sumerge en 5 kg de agua a 32º¿a que temperatura se alcanza el equilibrio térmico?
Answer:
El equilibrio térmico se alcanzará a los 152ºC.
Explanation:
Dado que un ladrillo de 2kg que se encuentra a 200º c, se sumerge en 5 kg de agua a 32º, para determinar a qué temperatura se alcanza el equilibrio térmico se debe realizar el siguiente cálculo:
2+5 = 7
(200 x 5 + 32 x 2) / 7 = X
1064 / 7 = X
152 = X
Por lo tanto, el equilibrio térmico se alcanzará a los 152ºC.
Why is the cathode ray oscilloscope evacuated?
Answer:
please like
Explanation:
hope it helps you
57. A red ball (m= 10 kg) is moving at 3 m/s. A green ball (m = 8 kg) is moving at 3.5 m/s. Which ball has more
energy and by how much (2)
Answer:
the green ball has 4J more energy
Explanation:
The kinetic energy is given by the formula
K = 0.5 m v^2
the kinetic energy of the red ball:
K(red) = 0.5*10*3^2= 45J
of the green ball:
K(green)=0.5*8*3.5^2 = 49J
therefore the green ball has more energy by 4 Joules
In the diagram, q1 = +4.88*10^-8 C.
What is the potential difference when
you go from point A to point B?
Include the correct sign, + or - .
B
0.538 m
1.36 m
91 |
(Hint: Does V go up or down when you go
from B to A?) (Unit = V)
Answer:
ΔV = 1139.3 V = 1.139 KV (+ve sign shows V goes up)
Explanation:
The potential difference while moving from point A to Point B is given as follows:
[tex]\Delta V = V_B-V_A[/tex]
where,
ΔV = potential difference from A to B = ?
[tex]V_A[/tex] = Potential at point A = [tex]\frac{kq}{r_A}[/tex]
[tex]V_B[/tex] = Potential at point B = [tex]\frac{kq}{r_B}[/tex]
Therefore,
[tex]\Delta V = \frac{kq}{r_B}-\frac{kq}{r_A}\\\\\Delta V = kq(\frac{1}{r_B}-\frac{1}{r_A})[/tex]
where,
k = Colomb's Constant = 9 x 10⁹ N.m²/C²
q = magnitude of charge = 4.88 x 10⁻⁸ C
[tex]r_A[/tex] = distance of point A from charge = 1.36 m
[tex]r_B[/tex] = distance of point B from charge = 0.538 m
Therefore,
[tex]\Delta V = (9\ x\ 10^9\ N.m^2/C^2)(4.88\ x\ 10^{-8}\ C)(\frac{1}{0.538\ m}-\frac{1}{1.36\ m})\\\\\Delta V = (439.2 N.m^2/C)(2.59\ /m)[/tex]
ΔV = 1139.3 V = 1.139 KV (+ve sign shows V goes up)
The answer is 492.87.
Correct on Acellus
Which of the following describes a sound wave?
A. Longitudinal wave that does not require a medium
c
B. Longitudinal wave that requires a medium
C. Transverse wave that does not require a medium
D. Transverse wave that requires a medium
Chỉ ra kết luận đúng trong các kết luận sau:
A.
Chỉ có các hạt mang điện tích dương chuyển động có hướng mới tạo ra dòng điện.
B.
Chỉ có các hạt mang điện tích âm chuyển động có hướng mới tạo ra dòng điện.
C.
Khi nguyên tử chuyển động có hướng thì xuất hiện dòng điện.
D.
Các dụng cụ điện sẽ hoạt động khi có dòng điện chạy qua.
A 1 kg billiard ball collides head on with a 0.1 kg marble that sits at rest on the table. The marble moves at 3 m/s in the same direction the billiard ball was originally moving. The billiard ball continues after the collision at 0.3 m/s. What was the initial speed of the billiard ball?
Let v be the billiard ball's initial speed. The total momentum of the ball-marble system is conserved between the times before and after their collision, so that
(1 kg) v + (0.1 kg) (0 m/s) = (1 kg) (0.3 m/s) + (0.1 kg) (3 m/s)
Solve for v :
v + 0 = 0.3 m/s + 0.3 m/s
v = 0.6 m/s
In a democracy how is rule of law regarded
Answer:
It is respected as leaders are accountable to the people. The rule of law within a democratic country will dictate what actions is considered wrong and punishable to do in that country. This will prevent people from harming and violating each other to get what they want and form a stable and safe society
what is electricity???????
Explanation:
Electricity is defined as the rate of flow of charges in a conductor.hope it helps.stay safe healthy and happy...Answer:
Electricity is the presence and flow of electric charge. Using electricity we can transfer energy in ways that allow us to do simple chores . it's best - known form is the flow of electrons through conductor such as copper wires. The world "electricity " is sometimes used to mean "electrical energy "
Explanation:
hope it is helpful to you ☆
[tex]kavya[/tex]
Performance Task 2: "TAKE HOME TASK
1. It took scientist a long time to reconcile the dual nature of light, which led to the idea of the duality of matter. To further see an
evidence of this concept try to observe the smoke coming from a barbeque drill. From a distance, you will see a
wave flow of smoke going up.
Guide Questions:
a. Look closely into it, what do you see?
ha Does your observation tell something about the dual nature of matter? Why? Why not?
2. Observe the colors on the soap bubbles on the surface of water.
Guide Questions:
a. What do you see?
b. What property of light is exhibited?
Pasagot po huhu
What animal would your trapezius muscles look like if you concentrated on working it out
Answer:
If you went to work your trap muscles you don't need a ton of fancy gym equipment. Here are four trapezius exercises you can perform using your own body.
pushupshrupupright rowshoulder blade squeezefind the acceleration gained by a body in 6 seconds if its initial velocity is 30 meter/seconds and final velocity is 60/seconds meter and spammers stay away
Answer:
Acceleration, a = 5 m/s²
Explanation:
Given the following data;
Initial velocity = 30 m/s
Final velocity = 60 m/s
Time = 6 seconds
To find the acceleration, we would use the first equation of motion;
V = U + at
Where;
V is the final velocity.
U is the initial velocity.
a is the acceleration.
t is the time measured in seconds.
Substituting into the equation, we have;
60 = 30 + a*6
60 - 30 = 6a
30 = 6a
Acceleration, a = 30/6
Acceleration, a = 5 m/s²
which best esplains how the body maintains homeostasis.
a. All systems work together to stabilize the body .
b. Each systems work indepently to stabilize the body .
c. All systems works together to match the external environment.
d. Each system works indepently to match the external evironment.
a. all systems work together to stabilize the body
Explain the method to measure the external diameter of a sphere
Answer:
The sphere is that the circular objects in the two-dimensional space (1) circle
(2) disk. Two-dimensional space is a set of points and the distance of that point, The two points of Sphere that length and center.
The sphere can be constructed as the name of surface form circle about any diameter. The circle is the special type of the revolution replacing the circle,
the sphere is the distance r is the radius of the ball and the circle is the center of the mathematical ball, as the center and the radius of the sphere is to respectively.
The ball and sphere have not to be maintained mathematical references as solid references. A sphere of any radius is centered at the number of zero.
Explanation: Hope this helps and good luck :)
What is the lowest possible temperature?
a 273 K
b absolute zero
со °C
d 100 °C
Answer:
b- absolute zero
*( And it's called zero kelvin)
The moon is 250,000 miles away. How many feet is it from Earth? (dimensional analysis)
Answer:
1.261 billion
Explanation:The distance between the earth and the moon in miles is 250,000,so in feet,The distance is 1.261 billion
What are the products of a fusion reaction?
A. Energy and a larger nucleus
B. A smaller nucleus and a positron
C. Energy and two or more smaller nuclei
D. A larger nucleus and an electron
Answer:
I think A
if I'm wrong I'm sorry did my best on research
Answer:
A
IN fusion reaction two small nuclei join together to form a heavy nucleus with the emission of neutron and energy
ANSWER ASAP What happens to a circuit’s resistance (r) , voltage (v) , and current (l) when you decrease the length of the wire in the circuit ?
A . R decreases
V constant
l increases
B . R constant
V increases
l increases
C . R increases
V constant
l decreases
D . R increases
V decreases
I decreases
Answer:A
Explanation:i just took the test
Water exits straight down from a faucet with a 1.96-cm diameter at a speed of 0.55 m/s. The volume flow rate of the water as it exits from the faucet is Blank
1. Calculate the answer by read surrounding text. cm3/s. As the water falls from the faucet with the given speed, it accelerates due to gravity and reaches a speed of _______
2. Calculate the answer by read surrounding text. after it has moved 0.2 m downward. With this change in speed of the water, the diameter of the stream 0.2 m below the faucet is _______
3. Calculate the answer by read surrounding text. _________ cm.
Answer:
Q = 165.95 cm³ / s, 1) v = [tex]\sqrt{0.55^2 + 19.6 y}[/tex], 2) v = 2.05 m / s,
3) d₂ = 1.014 cm
Explanation:
This is a fluid mechanics exercise
1) the continuity equation is
Q = v A
where Q is the flow rate, A is area and v is the velocity
the area of a circle is
A = π r²
radius and diameter are related
r = d / 2
substituting
A = π d²/4
Q = π/4 v d²
let's reduce the magnitudes
v = 0.55 m / s = 55 cm / s
let's calculate
Q = π/4 55 1.96²
Q = 165.95 cm³ / s
If we focus on a water particle and apply the zimematics equations
v² = v₀² + 2 g y
where the initial velocity is v₀ = 0.55 m / s
v = [tex]\sqrt{0.55^2 + 2 \ 9.8\ y}[/tex]
v = [tex]\sqrt{0.55^2 + 19.6 y}[/tex]
2) ask to calculate the velocity for y = 0.2 m
v = [tex]\sqrt{0.55^2 + 19.6 \ 0.2}[/tex]
v = 2.05 m / s
3) We write the continuous equation for this point 2
Q = v₂ A₂
A₂ = Q / v₂
let us reduce to the same units of the SI system
Q = 165.95 cm³ s (1 m / 10² cm) ³ = 165.95 10⁻⁶ m³ / s
A₂ = 165.95 10⁻⁶ / 2.05
A₂ = 80,759 10⁻⁶ m²
area is
A₂ = π/4 d₂²
d₂ = [tex]\sqrt{4 A_2 / \pi }[/tex]
d₂ = [tex]\sqrt{ \frac{4 \ 80.759 \ 10^{-6} }{\pi } }[/tex]
d₂ = 10.14 10⁻³ m
d₂ = 1.014 cm
Which of the following travels with a wave?
O A. Energy only
O B. Matter only
O C. Neither matter nor energy
O D. Both matter and energy
Answer:
A. Energy only is the answer to your question
Which of the following measures does not help promote technological progress?
issuing a patent to a company that invents a new product
increased wages for researchers
training programs for workers
reducing the scale of the market for a new product
Answer:
reducing the scale of the market for a new product
Explanation:
A product can be defined as any physical object or material that typically satisfy and meets the demands, needs or wants of customers. Some examples of a product are mobile phones, television, microphone, microwave oven, bread, pencil, freezer, beverages, soft drinks, automobiles, motorcycles, etc.
The use of technology in the manufacturing of a new product can be effectively and efficiently promoted in the market by doing the following;
I. Issuing a patent to a company that invents a new product. Patent can be defined as the exclusive or sole right granted to an inventor by a sovereign authority such as a government, which enables him or her to manufacture, use, or sell an invention for a specific period of time.
Generally, patents are used on innovation for products that are manufactured through the application of various technologies.
II. Paying a higher amount of money as wages for researchers who are saddled with the responsibility of making finding about a product.
III. Creating a training programs that would help to improve on the knowledge and skills of workers.
However, reducing the scale of the market for a new product in comparison with other products and standards does not help promote technological progress.
A cricket player lowers his hands while catching the ball. wny?
2. A student is pulling a 11.0 kg sled along flat ground. The students 30.0 kg sister then sits in the sled. The student then applies a 430 N force at an angle of 35° N of E. If the force of friction is 180 N, what is the acceleration of the sister sitting in the sled. (Ensure you draw a free body diagram.)
Answer:
Explanation:
The equation for this is
F - f = ma
The thing that gets strange here is that, because the student is pulling his sister on the sled with the rope at an angle, some of his efforts are being wasted. The sled is only going to move forward (horizontally), so the vertical component of that force is useless. He's not actually pulling horizontally with that much force; we have to figure out how much using the following equation:
[tex]F=430cos35[/tex] to get that
F = 352 N
Everything else falls into place quite easily into the equation now:
352 - 180 = 41a and
172 = 41a so
a = 4.2 m/s/s
