To test the impact performance of a 10 cm thick gymnastics mat, a 20 kg cylindrical
mass is dropped onto the mat from a height of 1 m above the mat. During the impact,
the cylinder’s vertical velocity reaches zero at the instant the mat has compressed to
only 4 cm thick.

a. How much kinetic energy does the cylinder have at the instant just before it
contacts the mat?

b. How much work does the mat do to stop the fall of the cylinder?

c. What average vertical force does the mat exert on the cylinder during the impact,
from contact until the cylinder’s vertical velocity is zero?

Answers

Answer 1

Answer:

A)196J

B)-208J

C)3467J

Step-by-step explanation:

We are given that a 20 kg cylindrical  mass is dropped onto the mat from a height of 1 m above the mat. During the impact,  the cylinder’s vertical velocity reaches zero at the instant the mat has compressed to  only 4 cm thick.

So, The Mat gets compressed by : 10cm - 4 cm = 6 cm=0.06 m

a)

Using Conservations of energy

Potential energy at the top = Kinetic energy at the point before touching the surface

Kinetic energy = mgh= [tex]20 \times 9.8 \times 1 = 196 J[/tex]

b)

Work done  by the mat do to stop the fall of the cylinder =[tex]-mg(h+0.06)=-20 \times 9.8(1+0.06)=-208 J[/tex]

C)

Work done=[tex]\text{Average force} \times \text{ Compression of mat}[/tex]

[tex]208=F \times 0.06[/tex]

F=3467J


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what's the answer? pls help

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the slope to that chart is 3/2

3/2.

Y = 1.5x - 5.5

Is the answer

1.5 is the slope

-5.5 is the Y intercept

Solve for y.

2y − 2 = 8

y =

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Answer:

y=5

Step-by-step explanation: 8+2=10 so 10/2=5

What is 1/4 of 36500000 in scientific notation

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Answer:

1.46 X [tex]10^{8}[/tex]

Step-by-step explanation:

what is the answer? pls help

Answers

Answer:

-2

Step-by-step explanation:

The formula for finding the slope is y2-y1 divided by x2-x1. You can use any two points.

So,

220-240 divided by 10-0= -20/10= -2

Hope this helps!!!

An assembly line must create one finished product every 3 minutes. The sum of the task times required to create a product is 700 seconds. What is the theoretical minimum number of workstations for this assembly line

Answers

Answer:

We need 4 workstations configurated in series as minimum to create theoretically a finished product every 3 minutes.

Step-by-step explanation:

At first we assume that assembly line is formed solely by workstations configurated in series. We must keep in mind that theoretical minimum number of workstations is equal to the sum of the task times required to create a product divided by the time taken by the assembly line to create one finished product. That is:

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We need 4 workstations configurated in series as minimum to create theoretically a finished product every 3 minutes.

-4(3x + 2) =
what is it I need it as fast as you guys can please help​

Answers

Answer:

-12x-8

Step-by-step explanation:

Use Math  Way

Answer:

-12x-8

Step-by-step explanation:

-4(3x+2)

-4*3x= -12

-4*2=-8

The area of a rectangle is (x^4+4x^3+3x^2-4x-4) and the length of the rectangle is (x^3

Answers

Answer:

what

Step-by-step explanation:

what is the question

Which theorem or postulate justifies this statement? WILL GIVE BRAINLIEST THANK YOU

∠1≅∠11


vertical angles theorem

linear pair postulate

alternate interior angles theorem

alternate exterior angles theorem

corresponding angles postulate

Answers

Answer:

Correct answer is: Alternate Exterior Angles Theorem

Step-by-step explanation:

See attached picture.

The angles ∠1≅∠11 are equal by alternate exterior angles theorem and corresponding angles postulate. The correct options are A and D.

What is an alternate exterior angle?

The angle is defined as the span between two intersecting lines or surfaces at or close to the point where they meet.

According to the alternate outside angle theorem, alternate exterior angles are regarded as congruent angles or angles of equal measure when two parallel lines are intersected by a transversal.

In the given image there are two parallel lines and one line is intersecting the two parallel lines at some angle.

Angle 1 and angle 11 will be equal to each other because of the two properties of angles that are alternate exterior angles theorem and corresponding angles postulate.

Therefore, the angles ∠1≅∠11 are equal by alternate exterior angles theorem and corresponding angles postulate. The correct options are A and D.

The image of the complete question is attached with the answer below.

To know more about an alternate exterior angles theorem follow

https://brainly.com/question/24755745

#SPJ2

What is the factored form of 250x^3-16

Answers

Answer:

2(125x^3 - 4)

Step-by-step explanation:

..........

Over the past few years Michael has increased his fee from $5 from mowing lawn to $11 per hours what percent did Michael fee increase

Answers

Answer:

120%

Step-by-step explanation:

Hope this helps

HELP!!!! Additive Identify property stuff!!!!

Answers

Answer:

i am pretty sure it is F

Step-by-step explanation:

Answer:f?

Step-by-step explanation:

Find the area of the triangle below ( example A )

Answers

I think it is 16.4 but I think

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34 is the smallest possible perimeter

Craig played basketball for 56 minutes. This is 10 minutes less than twice the number of minutes that Caleb played. How many minutes did Caleb play basketball?
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B. 29 minutes
C. 31 minutes
D. 33 minutes

Answers

33 minutes because 56 plus 10 equals 66 divided by 2 equals 33

how to Simplify: -2n + 11 + 6n

Answers

Answer:

4n + 11

Step-by-step explanation:

-2n + 6n = 4n

11 just stays as is

Answer:

4n + 11

Step-by-step explanation:

Combine like terms.

-2n + 11 + 6n = 4n + 11

Find the slope for the following ordered pair
(10, 8) and (-5,8).

Answers

Answer: Undefined

Step-by-step explanation:

Undefined because 8-8/10+5=0/15
Think of it this way you can not divide 0 by 15

4 log x = 4

What’s The Answer To This ?

Answers

Answer:

8

Step-by-step explanation:

8 . Is the answer ok ok ok

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Answers

Answer: 17 1/4 miles per hour

Please help me! ASAP!!!!!!

Answers

Answer:

D

Step-by-step explanation:

y = a[tex]x^{2}[/tex] + bx + c  is an equation for a parabola in standard form.

y = a(x - h)² + k is the equation for a parabola in vertex form.

We use y = because the parabola opens vertically.

The vertex is the point on the curve of the parabola, so either the lowest or highest point depending on whether it opens up or down.

We are given the vertex of (1,3), is the vertex formula h is the x and k is the y.

(h,k) or in this case (1,3).

Let's substitute the vertex.

y = a(x - 1)² + 3

To find a, we use the other point (2,6) to substitute in x and y to solve.

x = 2   y = 6

6 = a(2 - 1)² + 3

6 = a(1)² + 3

6 = a(1) + 3

6 = a + 3  Subtract 3 from each side.

6 - 3 = a + 3 - 3

6 - 3 = a

3 = a    

Now we have all the elements of the equation.

a = 3

h = 1

k = 3

y = 3(x - 1)² + 3

So the answer is D.

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A. True
B. False

Answers

Answer:

True

Step-by-step explanation:

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Answer:

True

Step-by-step explanation:

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seventh grade mathematics​

Answers

Answer:

???

Step-by-step explanation:

f(x) = [x - 3]

Solve

Answers

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Answers

Answer:

$26.25

Step-by-step explanation:

35×.25=8.75

35-8.75= 26.25

plz give me brainliest

If you have 15% withheld for federal taxes, 10% for state taxes, and FICA is a 7.65%, how
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OS514.24
O $302.01
O $120.49
O $70.76

Answers

Answer:

The Answer is $514.24

Step-by-step explanation:

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Answers

Answer:

391.437

Step-by-step explanation:

Answer:

391.437

Step-by-step explanation:

6.1x3=18.3

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Kimberly has a credit card with a 19% APR and a balance of $4,350. With her current monthly payment, Kimberly will be
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a.
$100.00
b. $113.99
C. $309.90
d. $423.89
Mom

Answers

Answer:

B. $113.99

Step-by-step explanation:

Each of the 25 students in Mr. McDonald’s class sold 16 raffle tickets. If each ticket costs $15, how much money did Mr. McDonald’s students raise.

Answers

i think jumping jacks?

Answer:

$6,000

Step-by-step explanation:

Basically just multiply 25*16 to see how many raffle tickets the class sold in total (400). Then to find the amount of money they raised, multiply 400*15 (6,000).

5
What are the coordinates of the image?
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Answers

Answer:

Hey! The answer is (-5,-3)!!

Step-by-step explanation:

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Answers

Answer:

25

Step-by-step explanation:

it is alternate interior

same thing

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Answers

i would love if you give me points pls but the answer is 12
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