A ball is tied to a string and swung in a horizontal circle with a tangential speed of 2.5 m/s. The length of the string is 1.5m. Calculate the ball’s centripetal acceleration.

Answers

Answer 1

Answer:

[tex]a_c=4.17\ m/s^2[/tex]

Step-by-step explanation:

Centripetal Acceleration

It's the acceleration of an object moving in a uniform circular motion that pushed the object toward the center.

Its magnitude can be calculated as follows:

[tex]\displaystyle a_c=\frac{v^2}{r}[/tex]

Where:

v = tangential speed

r  = radius of the circle

The ball is tied to a string describing a circular motion with a radius of r=1.5 m. The tangential speed is v=2.5 m/s, thus the acceleration is:

[tex]\displaystyle a_c=\frac{2.5^2}{1.5}[/tex]

[tex]\displaystyle a_c=\frac{6.25}{1.5}[/tex]

[tex]\mathbf{a_c=4.17\ m/s^2}[/tex]


Related Questions

Can y'all help me with dis
Factorise
a- 49a2 – 36b2
b- 3x3 – 48x
c- x2-20x+100
d- 4xy2 – 8x4y +16x2y2-2x3y​

Answers

Answer:

i cant understand are they at the power of 2

Step-by-step explanation:

Need HELP
Evaluate the expression
14.3-2x5²÷5

Answers

I got 4.3. . . . . . . . . .

Answer:

4.3

Step-by-step explanation:

14.3 - 2 × 5² ÷ 5

14.3 -2 ×25÷5

14.3 -2 × 5

14.3 - 10

4.3

Johnny’s electric bill is a variable expense. What is the average amount he pays for electricity if he paid $235 in December, $119 in January, $109 in February, $122 in March and $135 in April?
$200
$132
$144
$125

Answers

Answer:

$200

Step-by-step explanation:

Hope this helped you!!

The average amount is 125

I also really need help on this to

Answers

B, C, D are the answers

Please help me........

Answers

Answer:

70

Step-by-step explanation:

180 minus 40 divided by 2

Blake must choose between two job offer. Evergreen Landscape will pay him $9.75 hours to mow lawns, but its is a long way from his house. He would probably spend $25 per week on gas. Just Jean will pay Blake $6.50 per hour to work as a retail clerk. Since the store is very close to his house, he would probably only spend $5 per week on gas. let x be the number of hours that Blake will work in a week and y be the amount of money he will have end of the week if he does not spend any money expect on gas.
a. Explain how the following two rules reflect the two jobs offer that Blake has.
B. Solve the system of equations in part A. (9.75x - 25 = 6.50x -5) indicates what its tell you about blake job offers and the amount of money he will have at the end of the week.
C. blake plan to work at least 15 hours per week. Which job should he take.

Answers

Answer:

A. The explanation of the rules are;

For the job offer for the Evergreen Landscape, Blake will have 9.75 times by the number of hours worked less the $25 for gas at the end of the week

For the job offer for the Just Jean, Blake will have 6.50 multiplied by the number of hours worked less the $5 for gas at the end of the week

B. The solution to the equations is that the number of hours Blake will work to have the same amount in both Jobs is 6.1538 hours

C. Blake should take the Job at Evergreen Landscape

Step-by-step explanation:

The amount Evergreen Landscape will pay Blake to mow lawn = $9.75

The amount Blake would spend to work per week on gas for work at Evergreen Landscape = $25

The amount Just Jean will pay Blake to work per week as a retail clerk = $6.50

The amount Blake would spend to work per week on gas for work at Just Jean = $5

Whereby, x = The number of hours that Blake will work in a week

y = The amount of money he will have end of the week, if he does not spend any money except gas

A. The given rules are;

y = 9.75·x - 25

y = 6.50·x - 5

For the job offer for the Evergreen Landscape, we have;

y = 9.75·x - 25

Blake has to put aside $25 out of his weekly earnings for gas

Blake will have 9.75 multiplied by the number of hours worked less the $25 for gas

For the job offer for the Just Jean, we have;

y = 6.50·x - 5

Blake will have 6.50 multiplied by the number of hours worked less the $5 for gas

B. The common solution of the both equations is given by equating both values of y as follows;

9.75·x - 25 = 6.50·x - 5

9.75·x - 6.50·x = 25 - 5

3.25·x = 20

x = 20/3.25 = 6.15385

x = 6.15385

The number of hours Blake will work to have the same amount in both Jobs = 6.1538 hours

C. Given that the number of hours Blake can work each week = 15 hours, we have;

For the job offer for the Evergreen Landscape, we have;

y = 9.75 × 15 - 25 = 121.25

The amount of money he will have end of the week = y = $121.5

y = 6.50 × 15 - 5 = 92.5

The amount of money he will have end of the week = y = $92.5

Therefore, given that by working 15 hours a week, Blake earns $121.5 on the Evergreen Landscape job and $92.5 on the Just Jean job, Blake should take the Job at Evergreen Landscape.

Examine whether x + 2 is a factor of x³ + 3x² + 5x + 6 and of 2x + 4.

Answers

x+2 is the factor of 2x+4

Step-by-step explanation:

x+2=0 x=-2

x^3+3x^2+5x+6

(-2)^3+3(-2)2+5(-2)+6

-8+12-10+6

0

hence x+2 is a factor of x^3+3x^2+5x+6

x+2=0

x=-2

2x+4

2(-2)+4

-4+4

0

also x+2 is a factor of 2x+4

HELPPPP i don’t understand this

Answers

Answer:

60 degrees

Step-by-step explanation:

1. Find angle t. A and T are supplementary angles so both added together should equal 180.  180 - 120 = 60. Angle t is 60 degrees

2. All three angles inside the triangle should add up to 180 degrees. 60 +60 = 120 and 180 - 120 = 60. Angle s is also 60 degrees

Hope this helps and pls mark brainliest.

The distance between two towns is 75 km. The distance between the two towns on a map is 1.5 cm. What is the scale on the map?

Scale = 1cm :
km

Answers

Answer:

50

..................

Step-by-step explanation:

1.5cm => 75km

1cm => 75km * (1/1.5) = 50km

Hence the scale of the map is 1cm : 50km.

Look at the picture below. Do the diagonals bisect each other?
A) Yes
B) No

Answers

Answer:

Yes

Step-by-step explanation:

Since the lines cross over each other, yes, they do bisect each other.

~theLocoCoco

What is the slope intercept form for the equation that has these two points (5,-6) and (15,-10)

Answers

Answer:

Y = -2/5x - 4

Step-by-step explanation:

Hope this helps. Pls give brainliest.


Solve the system of inequalities graphically. Which point is in the solution?
y2x-4
y S-2x - 8

Answers

Answer:

(d). ( - 4, 0 )  

Step-by-step explanation:

(a). ( 5 , - 2 ) --- Coordinates do not satisfy both inequality.

(b). ( - 2 , - 8 ) --- Coordinates satisfy y ≤ - 2x - 8, but do not satisfy y ≥ x - 4 .

(c). ( 0 , 0 ) --- Coordinates satisfy y ≥ x - 4, but do not satisfy y ≤ - 2x - 8 .

(d). ( - 4, 0 ) --- The solution of the task.

Pleaseeeee answer correctly !!!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!

Answers

Answer:

24

Step-by-step explanation:

a2+b2=c2

gimme that brainly

Last year, Jackson made 24 one-cup servings of chili for a school party. This year, he will make ten times the amount of chili that he made last year. If there are 4 cups in 1 quart and 4 quarts in one gallon, how many gallons of chili will Jackson make this year?

Answers

Answer: 15

Step-by-step explanation:

You have to multiply what Jackson made last year (24 cups) times 10 which equals 240. after that you do 240 divided by 4, which equals 60, and 60 divided by 4 again, which gives us the answer (15) (hope you could understand that) Also sorry for not answering in time!

Urgent, please help.

The width of a rectangle is a whole number of centimetres.
The length of the rectangle is 7cm longer than the width.
The perimeter of the rectangle is less than 152cm.

Find the greatest possible width of the rectangle.

I will give whoever answers this 50 points please it’s desperate.

Answers

According to the perimeter of the rectangle, it is found that it's greatest possible width is of 34 cm.

What is the perimeter of a rectangle?

The perimeter of a rectangle of length l and width w is given by:

[tex]P = 2(l + w)[/tex]

In this problem, the length of the rectangle is 7cm longer than the width, hence l = 7 + w. Considering that the perimeter is less than 152 cm:

[tex]2(l + w) < 152[/tex]

[tex]l + w < 76[/tex]

[tex]7 + w + w < 76[/tex]

[tex]2w < 69[/tex]

[tex]w < 34.5[/tex]

Rounding, it's it's greatest possible width is of 34 cm.

More can be learned about the perimeter of a rectangle at https://brainly.com/question/10489198

Did I do this right???!

Answers

Answer:

idrk

Step-by-step explanation:

Yes you did! Keep it up

Solve for N!! Please

Answers

Answer:

18

Step-by-step explanation:

[tex]\frac{6}{5} =\frac{N}{15} \\N=\frac{6}{5} \times 15=18[/tex]

the survey report suggest that 2 out of three boy likes to play baseball what is the decimal expansion of two thirds

Answers

decimal expansion of 2/3 is .666666666666
decimal expansion of 2/3 is .6666666666

Tinky Winky is 2 years younger than Laa Laa. If the product of Tinky's and Laa Laa's ages is equal to 1 less than 5 times the sum of their ages, how old is Tinky?

Answers

Answer:

Solution:-

Let

Tinky's age=x

Laa's age=x+2

According to the question

[tex]\qquad\quad {:}\longmapsto\sf 5 (x+x+2)-1=x (x+2)[/tex]

[tex]\qquad\quad {:}\longmapsto\sf 5(2x+2)-1=x^2+2x [/tex]

[tex]\qquad\quad {:}\longmapsto\sf 10x+5-1=x^2+2x [/tex]

[tex]\qquad\quad {:}\longmapsto\sf 10x+4=x^2+2x [/tex]

[tex]\qquad\quad {:}\longmapsto\sf 10x-2x+4=x^2 [/tex]

[tex]\qquad\quad {:}\longmapsto\sf x^2=8x+4 [/tex]

[tex]\qquad\quad {:}\longmapsto\sf x^2-8x-4=0 [/tex]

CALCULATE PR :)
Merry Xmas btw

Answers

Answer:

PR = 7.9

Step-by-step explanation:

By sine rule:

[tex] \frac{12.5}{ \sin \: 66 \degree} = \frac{PR}{ \sin \: 37 \degree} \\ \\ \frac{12.5}{ 0.9135454576} = \frac{PR}{ 0.6018150232} \\ \\ PR = \frac{12 \times 0.6018150232}{0.9135454576} \\ \\ PR = \frac{12 \times 0.6018150232}{0.9135454576} \\ \\PR = \frac{7.22178028}{0.9135454576} \\ \\ PR = 7.90522269 \\ \\ PR \approx \: 7.9[/tex]

60x^10y divided by 5x^4y

Answers

the answer is 12x^6y
hope this helped!!

A T-shirt design company charges your team an initial fee of $25 to create the team's design. Each T-shirt printed with your design costs an additional $8.

A. write a linear model that represents the Total cost of purchasing your team's T-shirt with your design as a function of the number of T-shirts.

B. your team has 35 members. If a T-shirt is purshased for every member. what would be the cost?​

Answers

Answer:

Part A)

[tex]C(t)=25+8t[/tex]

Part B)

[tex]C(35)=\$305[/tex]

Step-by-step explanation:

We will let t represent the total number of t-shirts printed.

We are charged an initial fee of $25. So, for our linear model, our constant is 25. And each t-shirt printed costs an additional $8. So, for t t-shirts, it will cost an additional 8t dollars.

Part A)

So, from the above information, we can write the following function:

[tex]C(t)=25+8t[/tex]

Where C(t) is the total cost for t shirts.

The 25 represents our initial fee and the 8t represents the cost for t t-shirts.

Part B)

So, if we have a team of 35 members, we will need 35 t-shirts.

Then the total cost will be given by:

[tex]\begin{aligned}C(35)&=25+8(35)\\&=25+280\\&=\$305\end{aligned}[/tex]

So, it will cost a total of $305.

Chase lives 1 and one half blocks west of Ellie. They draw a number line to model this situation. Because Ellie lives 1 and three fifths blocks east of​ school, they give her house the coordinate 1 and three fifths . Chase incorrectly claims that the coordinate of his house is 3 and one tenth . What is the correct coordinate of Chase​'s ​house? What is Chase​'s likely​ error?

Answers

Answer:

1/10

Step-by-step explanation:

A number line is a line which contains numbers marked at intervals (usually regular intervals). Points to the right of the origin are positive numbers while those to the left are negative numbers.

The school is used as the origin. Ellie house is 1 and three fifths blocks east (to the right) of the school. This means that it is + 1 and three fifths (+8/5).

Chase house is 1 and one half blocks (3/2) west of Ellie. Since it is west then it is to the left. Hence the coordinate of chase house = 8/5 - 3/2 = 1/10

Hence the coordinate of chase house is 1/10(one tenths).

The error may be as a result of thinking chase house is to the east of Ellie, hence adding to get  3 and one tenth.

What is the b value of the equation
y= -4x - 10?

Answers

Answer: -10

Step-by-step explanation: In slope-intercept form, the formula is y = mx + b with m = slope and b = y-intercept. In the expression, the "b" is -10. Therefore, the b value of this equation is -10.

solve for a
15=3(a+7)

Answers

Answer:

a = -2

Step-by-step explanation:

15 = 3(a+7)

15 = 3a + 21

-6 = 3a

a = -2

A=-2 is the correct answer

9. Find a and the length all sides.

Answers

Answer:

a = 8

Bottom and top length are 68

left and right are 28

Step-by-step explanation:

6a + 20 = a + 60 (same length do to the little tick marks)

5a = 40 (subtract 1a from both sides and 20 from both sides)

a = 8 (Divide)

Answer: A = 8

Step-by-step explanation:

Since Side BC and AD are equal

then we can plug both equations to each other to find A

6a + 20 = a + 60

solve it

6a + 20 = a + 60

    - 20        -20

6a = a + 40

-a     -a

5a = 40

a = 8

You can now find the length of all sides :)

Evaluate
2x - Y when x= 5, y=3

Answers

Answer:

the answer is 7

Step-by-step explanation:

2x-y

2*5 - 3

10 - 3

7                                  

In a party Tom paid $540 including the cake and drink for his friend the cost of a person attending the party is $15 the cost of cake and drinks are $75 and $90 respectively find the number of friends that attended the party

Answers

3 people.
15+75+90=180
540/180=3

Explain it too and what specific subject is it

Answers

Answer:

The correct answer would be A. I have attached a picture of how to solve it below. Please have a look at it and give the crown.

solve the proportion 4/(x+1) = 3/(x+2)

Answers

Answer:

x = -5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define

4/(x + 1) = 3/(x + 2)

Step 2: Solve for x

Cross multiply:                         4(x + 2) = 3(x + 1)Distribute:                                 4x + 8 = 3x + 3Subtract 3x on both sides:      x + 8 = 3Subtract 8 on both sides:        x = -5

Answer:

to solve a proportion, you cross multiply. so you take the numerator of the first one, and multiply it by the denominator of the second one. and then the denominator of the first one is multiplied by the numerator of the second one:

4(x+2)=3(x+1) (set them = and then use the distributive property)

4x+8 = 3x+3 (subtract 3x from both sides)

x +8 = 3 (subtract 8 from both sides)

x= -5  (the answer)

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