Calculate the magnetic force on an electron in the following cases. Provide your answers in component form (Here i,j,k denote the unitvectors for the x,y, and z directions, respectively.):
a. A proton with velocity v=(2.30×10^4i) m/s moving in a magnetic field of magnitude (0.25k)T. FX =
Fy =
Fz =
Answers
The magnetic force on an electron due to a proton moving with a velocity of (2.30×10^4i) m/s in a magnetic field of magnitude (0.25k)T is (-3.68 x 10^-15 N)i. No force acts in the y and z directions.
To calculate the magnetic force on an electron in a magnetic field, we use the formula:
F = q(v x B)
where F is the magnetic force, q is the charge of the electron, v is the velocity of the proton, and B is the magnetic field.
Given v = (2.30×10^4i) m/s, B = (0.25k)T
The charge of an electron is -1.6 x 10^-19 C.
Substituting these values in the formula, we get:
F = (-1.6 x 10^-19 C)(2.30×10^4i m/s x 0kT + 0j m/s x 0.25kT + 0k m/s x 0i T)
F = (-3.68 x 10^-15 N)i
Therefore, the magnetic force on the electron has a magnitude of 3.68 x 10^-15 N in the negative x-direction. The components in the y and z directions are zero.
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Related Questions
Solve the equation 1/4 (x+2)+5=-x
Answers
Answer:
Exact Form:
x=−225
Decimal Form:
x=−4.4
Mixed Number Form:
x=−4 2/5
Step-by-step explanation:
Answer:
x = 6
Step-by-step explanation:
1/4 (x-2) + 5 = x
1/4 (x-2) = x - 5
x - 2 = 4(x-5)
x-2 = 4*x + 4*-5
x-2 = 4x - 20
x - 4x = 2 - 20
-3x = -18
x = -18/-3
x = 6
Check:
1/4(6-2) + 5 = 6
1/4(4) + 5 = 6
1 + 5 = 6
PLEASE HELP! If there are 19 successful outcomes in a sample with a size of 25, what is the sample proportion? O A. 0.32 B. 0.96 O C. 0.76 D. 0.52 SUBMIT
Answers
Answer:
0.76
Step-by-step explanation:0.76
a large airline randomly selected 7 tickets to discount one day. use the data from these tickets to answer the questions.
Answers
The answers to the two substituent questions are explained and given below. Options 3 and 4 are the correct answers for part A of this question and options third, fourth, fifth, and sixth are the answers for part B.
We have been asked about qualitative and quantitative variables here. Qualitative variables are those that are not defined using numbers but words. They are described by the name of whatever category they belong to. On the other hand, quantitative variables are denoted and described using numbers.
In the given question, first, we are asked what the quantitative variables are. They are # of carry-on bags and # check-in bags. So, options 3 and 4 are the correct answers for part A of this question. Then, we are asked about the qualitative variables which are gender, age, traveling to and traveling from. So, options third, fourth, fifth, and sixth are the answers for part B.
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Use the coordinate plane to plot the point (3, 6). Then complete the statements that explain how to plot the point. Start at the ____ Move 3 units ____ Move 6 units ____ Plot a point ____
Answers
Answer:
Use the coordinate plane to plot the point (3, 6). Then complete the statements that explain how to plot the point. Start at the origin. Move 3 units right Move 6 units up Plot a point there.
Step-by-step explanation:
To plot the point, start at the origin. Move 3 units right and Move 6 units upwards to plot a point (3 6).
What is a coordinate plane ?A coordinate plane is a plane in which a set of two number lines are represented, horizontal line is called x-axis and vertical line is called y-axis.
The given point is (3, 6).
The coordinate plane to plot the point (3, 6) is shown below.
To plot the graph of point (3, 6) on coordinate plane,
Start at the origin. Move 3 units right and Move 6 units upwards to plot a point (3 6).
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Does this graph show a
function? Explain how you know.
• A.
No; there are y values that have more than one
x-value.
•
B. Yes; there are no y-values that have more than
one x-value.
• C. No; the graph fails the vertical line test.
•
D. Yes; the graph passes
the vertical line test.
Answers
Answer:
C
Step-by-step explanation:
It is fine if we have double y values, but if there are repeated x values it is not a function.
Find the surface area
Answers
Answer:
Area of a sphere
Radius
15 m
Diameter
30 m
Volume
14,137 m³
Surface to volume ratio
0.2 1/m
Surface area
2,827.4 m²
Step-by-step explanation:
2. Lee Hays has obtained a $240,000mortgage loan at 7.00% for 25 years.a. What is the monthly payment?b. What is the total amount paid?c. What is the total interest?
Answers
Given:
\(\begin{gathered} Present-value=240000 \\ rate(r)=7\%=0.07 \\ n=term(in-months)=25\times12=300 \end{gathered}\)To Determine: a. What is the monthly payment? b. What is the total amount paid?
c. What is the total interest?
Solution
Using the formula below
\(PMT=\frac{PVr(1+r)^n}{(1+r)^n-1}\)Substitute the given
\(\begin{gathered} PMT=\frac{240000\times0.07(1+0.07)^{300}}{(1+0.07)^{300}-1} \\ PMT=\frac{16800(1.07)^{300}}{(1.07)^{300}-1} \\ =\frac{16800\times\:1.07^{300}}{653331059.14479} \\ PMT=16800.0002 \end{gathered}\)The total amount paid is
\(\begin{gathered} Amount-paid=PMT\times n \\ =16800.00002\times300 \\ =5040000.01 \end{gathered}\)The interest paid is
\(\begin{gathered} Interest=Amount-paid)-Present-value \\ =5040000-240000 \\ =4800000 \end{gathered}\)Ali, Basti and Cian stand at three points A, B and C respectively. Suppose that the measure of angle ABC is 50 degrees , the measure of angle BAC is 60 degrees and Ali is exactly 150 ft away from Basti. Find the distance between Basti and Cian.
Answers
The distance between Basti and Cian is approximately 138.2 ft. Option D
To find the distance between Basti and Cian, we can use the Law of Sines, which relates the lengths of sides to the sines of their opposite angles in a triangle.
Let's label the points: A, B, and C. Ali is at point A, Basti is at point B, and Cian is at point C.
Given:
Angle ABC = 50 degrees (angle opposite side AC)
Angle BAC = 60 degrees (angle opposite side BC)
Ali is 150 ft away from Basti (side AB)
We want to find the distance between Basti and Cian, which is side BC.
Using the Law of Sines, we have:
BC/sin(50) = AB/sin(60)
Substituting the known values:
BC/sin(50) = 150/sin(60)
To find BC, we can rearrange the equation:
BC = (150/sin(60)) * sin(50)
Using a calculator to evaluate the expression:
BC ≈ 138.2 ft
Option D is correct.
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The table shows how many children and adults prefer each of two different fruits. How would you find the joint relative frequency of being an adult who prefers watermelon?%0D%0A%0D%0AWatermelon%09Grapes%09Total%0D%0AChild%09132%0985%09217%0D%0AAdult%09111%09117%09228%0D%0ATotal%09243%09202%09445%0D%0A%0D%0AA.%0D%0ADivide 111 by 228.%0D%0A%0D%0AB.%0D%0ADivide 111 by 243.%0D%0A%0D%0AC.%0D%0ADivide 111 by 445.%0D%0A%0D%0AD.%0D%0ADivide 243 by 445.
Answers
The joint relative frequency is calculated by dividing the frequency of a specific subset (in this case, the number of adults who prefer watermelon) by the total number of data points.
Here, the specific subset is adults who prefer watermelon, which is 111. The total number of data points is the sum of all children and adults, regardless of fruit preference, which is 445.
So, to find the joint relative frequency of being an adult who prefers watermelon, you would divide 111 by 445.
Hence, the correct answer is:
C. Divide 111 by 445.
what is 3.1 converted into a simplified fraction?
Answers
Answer:
31/10
Step-by-step explanation:
Select the graph for the solution of the open sentence. Click until the correct graph appears. |x| + 3 > 3
Answers
The correct graph of the inequality ( |x| + 3 > 3) is attached accordingly.
Here is how the above was solvedRecall that the absolute value (or modulus) of a real number x is its non-negative value regardless of its sign. For example, 5 has an absolute value of 5, and 5 has an absolute value of 5.
A number's absolute value can be conceived of as its distance from zero along the real number line.
So, given |x| + 3 > 3
Add minus three to both sides
|x| + 3 + (-3) > 3 + (-3)
|x| > 0
Thus, the absolute value of x is
x > 0 or x < -0
put in the form of inequality, we have
x > 0 or x < 0
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Please help if you can, this is due tomorrow.
In the diagram below, $\angle BAC=24^\circ$ and $AB=AC$.
If $\angle ABC=y^\circ$, what is the value of $y$?
[asy]
size(4.25cm);
pair a=(0,cos(pi/15)); pair b=(-sin(pi/15),0); pair c=-b; pair d=c+(1,0);
dot(a); dot(b); dot(c);
draw(c--a--b--c);
draw((2*a+3*b)/5-0.05*(cos(pi/15),-sin(pi/15))--(2*a+3*b)/5+0.05*(cos(pi/15),-sin(pi/15)));
draw((2*a+3*c)/5-0.05*(cos(pi/15),sin(pi/15))--(2*a+3*c)/5+0.05*(cos(pi/15),sin(pi/15)));
label(scale(0.75)*"$24^\circ$",a-(0,0.3),S);
label("$A$",a,N);
label("$B$",b,SSW);
label("$C$",c,S);
label(scale(0.85)*"$y^\circ$",b,NE);
[/asy]
Answers
The given diagram implies that the triangle $ABC$ is an isosceles triangle with angles of $24^\circ$. This can be verified by computing the length of the hypotenuse and using the Pythagorean Theorem.
What is equation?Equation is a mathematical expression that consists of variables, symbols, and numbers, and shows the relationship between different quantities. An equation can involve one or more unknowns, and can be represented as an equality or as an inequality. Solving an equation requires understanding the relationship between the different elements in the equation, and manipulating the equation to isolate the unknowns. Common types of equations include linear equations, quadratic equations, and polynomial equations.
From this diagram, we can conclude that $\angle ABC$ is an isosceles triangle. This is because the angles opposite equal sides of a triangle must be equal. Since $\angle BAC=24^\circ$, $\angle ABC$ must be $24^\circ$. Furthermore, the sides $AB$ and $AC$ are equal, so $ABC$ is an isosceles triangle.
This conclusion can be verified by using the Pythagorean Theorem. If $AB=AC$, then it follows that $BC = \sqrt{AB^2 + AC^2} = \sqrt{2AB^2}$. Since $AB=3$, it follows that $BC=\sqrt{2*3^2}=6$. Therefore, the triangle $ABC$ is a right triangle with legs of length 3 and hypotenuse of length 6. Since $\angle BAC = 24^\circ$, it follows that $\angle ABC = 24^\circ$, verifying that the triangle is isosceles.
In conclusion, the given diagram implies that the triangle $ABC$ is an isosceles triangle with angles of $24^\circ$. This can be verified by computing the length of the hypotenuse and using the Pythagorean Theorem.
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Answer:
78
Step-by-step explanation:
AABC has the following angle measures: MLA = 120, MLB = 40, and
mZC = 20. Which lists the sides in order from shortest to longest?
Answers
Answer:
It would be CB, BA, AC
Step-by-step explanation:
Given f(x) = 6x – 9, find the value of f(-8).
Answers
Answer:
-57
Step-by-step explanation:
f(-8)=6(-8)-9
f(-8)=-48-9
f(-8)=-57
equation for trips from phoenix to denver co and austin tx to find where they intercept.
Phoenix to Denver = 602 miles; Phoenix to Austin = 872 miles. Show on scatterplot.
Answers
The equation for the trip from Phoenix to Austin can be expressed as:
y = 872 + x.
What is scatterplot?
A scatterplot is a type of graph used to display the relationship between two variables. The values of one variable are plotted along the horizontal axis, and the values of the other variable are plotted along the vertical axis.
To find where the trips from Phoenix to Denver and Phoenix to Austin intercept, we need to first determine the equations for these two trips. Let's assume that the two trips start from the same point in Phoenix.
Let's use the variable x to represent the distance traveled from the starting point, and y to represent the total distance of the trip. Then, the equation for the trip from Phoenix to Denver can be expressed as:
y = 602 + x
Similarly, the equation for the trip from Phoenix to Austin can be expressed as:
y = 872 + x
To find where these two trips intercept, we need to solve for the values of x and y that satisfy both equations.
Setting the two equations equal to each other, we get:
602 + x = 872 + x
Solving for x, we get:
x = 270
This means that the two trips intercept at a point where the distance traveled from the starting point is 270 miles. To find the total distance at this point, we can substitute x = 270 into either equation:
y = 602 + x = 602 + 270 = 872
So the total distance of the two trips at the point of interception is 872 miles.
To show this on a scatterplot, we can plot the two equations as lines and look for the point where they intersect. The x-axis can represent the distance traveled from the starting point, and the y-axis can represent the total distance of the trip. The point of intersection would represent the point where the two trips intercept.
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What is (f−g)(x)? f(x)=3x5+6x2−5 g(x)=2x4+7x2−x+16
Answers
Answer: We have f(x)=3x⁵+6x²-5 and g(x)= 2x⁴+7x²-x+16
(f-g)(x)= 3x⁵-2x⁴-x²+x-21
Step-by-step explanation:
Here we have,
Given : f(x)=3x⁵+6x²-5 and g(x)= 2x⁴+7x²-x+16
We know,
(f-g)(x)= f(x)-g(x)
= (3x⁵+6x²-5 ) - ( 2x⁴+7x²-x+16)
On subtracting g(x) from f(x) we get,
(f-g)(x)= (3x⁵+6x²-5 - 2x⁴-7x²+x-16)
On simplify,
(f-g)(x) =3x⁵-2x⁴-x²+x-21
Hence,
(f-g)(x) = f(x) - g(x) = 3x⁵-2x⁴-x²+x-21
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Points D, E, and F are on circle C and EF ≅ DF.
What is the measure of ∠CDF?
14°
19°
26°
38°
Please explain, I want to know how to get the answer.
Answers
Answer:its 1.4>1.3
Step-by-step explanation:I THINK ITS 1.4>1.3
his composite figure is made of two identical pyramids attached at their bases. Each pyramid has a height of 2 units. 2 identical pyramids with rectangular bases are connected at their base. The height of the pyramid is 2. The lengths of the sides of the rectangle are 5 and 0.25 units. Which expression represents the volume, in cubic units, of the composite figure? One-half (One-third (5) (0.25) (2) ) One-half (One-third (5) (0.25) (4) ) 2(One-third (5) (0.25) (2) ) 2(One-third (5) (0.25) (4) )
Answers
The expression that will represent the volume of the identical rectangular base pyramid is: 2[One-third (5) (0.25) (2)] cubic units.
How to evaluate the expression for the volume of the identical pyramidTo calculate for the volume of a rectangular base pyramid, we use the formula:
volume = 1/3 × area of base rectangle × height
volume of one identical pyramid = (1/3 × 5 × 0.5 × 2)cubic units
volume of the two identical pyramid = 2(1/3 × 5 × 0.5 × 2)cubic units.
Therefore, the expression that will represent the volume of the identical rectangular base pyramid is: 2[One-third (5) (0.25) (2)] cubic units.
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K (Present value of annuities and complex cash flows) You are given three investment alternatives to analyze. The cash flows from these three investments are as follows: End of Year 1 2 3 4 5 6 78 A $11,000 11,000 11,000 11,000 11,000 Investment B $11,000 11,000 11,000 11,000 C $ 16,000 48,000 a. What is the present value of investment A at an annual discount rate of 21 percent? (Round to the nearest cent.) b. What is the present value of investment B at an annual discount rate of 21 percent? $ (Round to the nearest cent.) c. What is the present value of investment C at an annual discount rate of 21 percent? (Round to the nearest cent.)
Answers
a. To calculate the present value of investment A at a discount rate of 21 percent, we need to find the present value of each cash flow and then sum them up. The present value of each cash flow can be calculated using the formula PV = CF / (1 + r)^n, where PV is the present value, CF is the cash flow, r is the discount rate, and n is the number of years.
Using the given cash flows and the discount rate of 21 percent, we have:
PV = 11,000 / (1 + 0.21)^1 + 11,000 / (1 + 0.21)^2 + 11,000 / (1 + 0.21)^3 + 11,000 / (1 + 0.21)^4 + 11,000 / (1 + 0.21)^5 + 11,000 / (1 + 0.21)^6
Calculating this expression will give us the present value of investment A.
b. Similarly, to calculate the present value of investment B, we use the same formula and substitute the cash flows for investment B:
PV = 11,000 / (1 + 0.21)^1 + 11,000 / (1 + 0.21)^2 + 11,000 / (1 + 0.21)^3 + 11,000 / (1 + 0.21)^4
c. For investment C, we use the formula with the cash flows for investment C:
PV = 16,000 / (1 + 0.21)^1 + 48,000 / (1 + 0.21)^2
Calculating these expressions will give us the present values of investments B and C, respectively.
The present values of investments A, B, and C are $37,461.97, $29,930.99, and $48,003.16 respectively.
Explanation:To calculate the present value of the cash flows from every investment, we use the present value of annuity formula: PV = C * [(1 - (1 + r)^-n ) / r], where PV is the present value, C is the constant cash flow per period, r is the discount rate, and n is the number of periods.
(a) Investment A: C = $11,000, r = 21% or 0.21, n = 6 years. PV = $11,000 * [(1 - (1 + 0.21)^-6) / 0.21] = $37,461.97.
(b) Investment B: C = $11,000, r = 21% or 0.21, n = 4 years. PV = $11,000 * [(1 - (1 + 0.21)^-4) / 0.21] = $29,930.99.
(c) Investment C has 2 cash flows: $16,000 at end of year 1 and $48,000 at end of year 3. We calculate their present value separately and sum those up. PV = $16,000 / (1 + 0.21)^1 + $48,000 / (1 + 0.21)^3 = $13,223.14 + $34,780.02 = $48,003.16.
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A. 526 X 10 D. 526 X 0.1 B. 526 X 100 E. 526 X 0.01 C. 526 X 1000 F. 526 X 0.001
Answers
Answer:
what?
Step-by-step explanation:
what is the question to this?
Answer:
A. 526 X 10
Step-by-step explanation:
526 X 10 = 5,260
give brainslet pls
what are some expressions to solve a product of 120? a(6x10)+(20x10) b.20x6 c. (6x2)+(10x2) d.(2x5)+(55x2)
Answers
Answer: D. i took the test.. Happy to Help! :)
Step-by-step explanation:
Select ALL the correct answers.
In AABC, BD is perpendicular to AC as shown in the figure.
Which equations are true?
OBC²+ CD² = BD²
O AC²+ CB² AB²
O AD² + DB² = AB²
B
Answers
In the given triangle equations AC² = AB² + BC², AB² = AD² + BD² and BC² = CD² + BD² are true.
What is a right-angle triangle?A right-angled triangle is a triangle, that has one of its interior angles equal to 90 degrees or any angle is a right angle.
Given that,
ABC is a right-angle triangle. And BD is perpendicular to AC.
To show the equations which are true,
Use the Pythagorean theorem,
(Hypotenuse)² = (base)² + (height)²
In triangle ABC,
AC² = AB² + BC²
In triangle ABD,
(AB)² = AD² + BD²
And in triangle BCD,
BC² = CD² + BD²
Therefore, options (2), (3), and (6) are correct. Those are the only equation satisfying the Pythagorean theorem.
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What is the solution to the equation
2x=5
Answers
Answer:
5/2 or 2.5
Step-by-step explanation:
Divide both sides by 2.
I had $370.00. My Mom gave $150.00. My Dad gave $150.00. My Aunt and Uncle gave me $100.00. I had another $30.00. How much did I have?
Willie Buggs Jr
Answers
Answer: You have $800.
Step-by-step explanation:
8. The area of a rectangle is 13x + 2 square units. The
width is 9. The length is x + 6. What is the length?
Answers
Answer:
L=19
Step-by-step explanation:
Since the formula to find the area of a rectangle is \(A= w(l)\) we must start by plugging the given data into this equation
\(13x+2=9(x+6)\)
Then solve!
\(13x+2=9(x+6)\\13x+2=9x+54\\4x+2=54\\4x=52\\x=13\)
Since we now know that x equals, we are able to find the length by plugging 13 into the given function for the length.
\(l=13+6=19\)
Make sure to check your work!
\(13(13)+2=9(13+6)\\169+2=9(19)\\171=171\)
please help with 30!
Answers
The equation of the graph y= \(x^{3}-2x^{2} +3x-4\) has no symmetry
The equation of the graph y = \(x^{3}-2x^{2} +3x-4\)
Replace y with -y in the given equation
-y = \(x^{3}-2x^{2} +3x-4\)
When replacing y with -y gives the different equation. The equation is not symmetric with respect to x axis
Replace x with -x in the given equation
y = \((-x)^{3} -2(-x^{2} )-3(-x)-4\)
y = \(-x^{3}-2x^{2} +3x-4\)
When replacing x with -x gives the different equation. The equation is not symmetric with respect to y axis
Replace x with -x and y with -y in the equation
-y = \((-x)^{3} -2(-x^{2} )-3(-x)-4\)
-y = \(-x^{3}-2x^{2} +3x-4\)
When replacing x with -x and y with -y gives the different equation. The equation is not symmetry with respect to origin.
Hence, the equation of the graph y= \(x^{3}-2x^{2} +3x-4\) has no symmetry
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10. (03.04 LC)
-
When the function f(x) = 6(9)* is changed to f(x) = 6(9)X + 1, what is the effect? (4 points)
O There is no change to the graph because the exponential portion of the function remains the same.
O All input values are moved one space to the right.
O The x-intercept is one space higher.
The y-intercept is one space higher.
Answers
Answer:
It is "The y-intercept is one space higher."
Step-by-step explanation:
Assuming your original equation is 6(9)^X, the + 1 at the end is moving the entire function up since all y values that are the output are 1 higher. This means the point on the y-axis will be one higher, leading us to the answer.
Please help I have trouble on these...
Answers
The value of a is 5, b is 4, c is 0, d is 3, e is 6 and R is 6 after following the long division method.
According to the question,
We have to divide 430 by 8 by following the long division method.
Note that when we follow long division method then the number by which we are dividing (divisor) is to be multiplied in such a way that the result remains less than the number in the dividend.
Now, we will solve it step by step.
In dividing 43 by 8, we have to multiply 8 by 5. Then, we get 40.
So, we have a = 5, b = 4 and c = 0.
Now, after this we have 30 and the number that we get after multiplication is 24. So, 3 has to be multiplied in 8 to get 24.
So, we have d = 3.
Now, when we will subtract 24 from 30, we will get 6.
So, we have e = 6.
And e is also the remainder, R. So, we have R = 6.
Hence, the values of a, b, c, d, e, and R are 5, 4, 0, 3, 6, and 6 respectively.
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Find the surface area of this cube. Be sure to include the correct unit in your answer
Answers
Answer:
here,
area=6a^2
now,
area= 6 × 4^2
= 6 × 16
= 96cm^2
hi can someone help me with this problem!!
Answers
Answer:
f(x) | 5 | - 1 | - 3 | - 1 | 5 |
Step-by-step explanation:
So first you'll say "-2" into function
Replace x with negative 2
f(x) =2(-2) ^2 - 3
8 - 3 = 5
Secondly place "- 1" into function
Replace x with negative 1
f(x) = 2(-1)^2 - 3
2 - 3 = - 1
Thirdly place "0" into function
Replace x with 0
f(x) = 2(0)^2-3
0 - 3 = - 3
Then place "1" into function
Replace x with 1
f(x) = 2(1)^2 - 3
2 - 3 = - 1
Lastly place "2" into function
Replace x with 2
f(x) = 2(2)^2 - 3
8 - 3 = 5
{ hope this helps}