An 18 kg weight is lifted up to 12 m in height and then released in free fall. What are the potential energy, kinetic energy and total energy at: The highest point? 3 m above the ground? At the ground?

Answers

Answer 1

Answer:

1) at the highest Point

KE= 0  PE=2116.8 N

2) 3 m above the ground

PE= 529.2 N KE=1587.6 N

3) at the ground

KE= 2116.8 N and PE=0

Step-by-step explanation:

The potential energy is given by

PE= mgh   where m is the mass , g is the acceleration due to gravity which is equal to 9.8 m/s² and h is the height.

The kinetic energy is given by KE= 1/2 mv² where m is the mass of the body and v is the velocity.

1) at the highest Point

Now at the highest point the  velocity is zero

KE= 1/2 mv²

KE= 0

PE = mgh

PE= 18 *9.8* 12= 2116.8 N

Total Energy = KE + PE= 0 + 2116.8 N= 2116.8 N

2) 3 m above the ground

At 3 m above the ground

PE= mgh

PE= 18 *9.8* 3= 529.2 N

According to law of conservation of energy the total energy ( sum of KE and PE)  remains the same at every point.

Total Energy = KE + PE

2116.8 N-529.2N= 1587.6N

KE=1587.6 N

3) at the ground

at the ground the height will be zero

PE= mgh

PE= 18 *9.8* 0= 0 N

According to law of conservation of energy the total energy ( sum of KE and PE)  remains the same at every point.

Total Energy = KE + PE

2116.8 N=2116.8 N + 0

KE= 2116.8 N

or

KE= 1/2 mv²

KE = 1/2* 18 *(15.36)²= 2116.8


Related Questions

A football field measures 300 feet in length. It can also be expressed as approximately

5.7 x 10^n .

If there are 5,280 feet in 1 mile , which is the most reasonable value of n.

Answers

Answer: n=-2

Step-by-step explanation:

Given

The length of the football field is  [tex]300\ ft[/tex]

In the mile, it can be expressed as [tex]5.7\times 10^n\ mile[/tex]

Also, [tex]5280\ ft=1\ mile[/tex] or

[tex]1\ ft=\dfrac{1}{5280}\ miles\\\\1\ ft=1.893\times 10^{-4}\ miles[/tex]

converting [tex]300\ ft[/tex] to miles

[tex]\Rightarrow 300\times 1.893\times 10^{-4}\\\Rightarrow 5.68\times 10^{-2}\approx 5.7\times 10^{-2}[/tex]

Comparing it with the given value [tex]5.7\times 10^n\ mile[/tex]

we get [tex]n=-2[/tex]

PLEASEEEEEE HEELLLPPP MEEEE!!!!

Answers

Answer:

the top one is posable oucomes and the the bottom is the other on

Step-by-step explanation:

Answer:

1 fav

2. possible

Step-by-step explanation:

Bubble algae cells can grow up to 5 cm in diameter. Calculate the surface area : volume ratio of this cell.

Answers

Answer:

6:5

Step-by-step explanation:

Bubble algae cells can grow up to 5 cm in diameter. Calculate the surface area : volume ratio of this cell.

The algae is spherical in nature

Volume of the algae =4/3 pi r³

Volume of the algae = 4/3×pi×2.5³

Volume of the algae = 62.5/3 pi

Surface area = 4pi r²

Surface area = 4pi ×2.5²

Surface area = 25pi

Taking their ratio

surface area : volume ratio

= 25pi:62.5/3 pi

= 25 × 3/62.5

= 1.2

Hence the required ratio is 12/10 which is 6:5

Please help, It feels like I know it but It won’t come to my brain

Answers

Answer:

D. m= x + 0.75

Step-by-step explanation:

Andrew is adding books to the backpack that already weighs 0.75 kg.

the answer is D

m= x+0.75

PLEASE NEED HELP RIGHT NOW
An MP3 player has 60 songs stored on it.
Of the songs, 21 are rock, 9 are rap, 18 are dance, and 12
are country.
If songs are played randomly, find the probability a rock song is played.

Answers

Answer:

21/60 (simplified = 7/20)

Step-by-step explanation:

A researcher is 95% confident that the interval from 3.6 hours to 8.1 hours captures μ = the true mean amount of daily screen time for US adults.

Is there evidence that the true mean number of hours of screen time for US adults is greater than 3.5?

No. There is not evidence that the population mean is greater than 3.5, because 3.5 is not within the 95% confidence interval.
No. There is not evidence that the population mean is greater than 3.5, because there are values within the 95% confidence interval other than 3.5.
Yes, there is evidence that the population mean is greater than 3.5, because 3.5 is not within the 95% confidence interval.
Yes, there is evidence that the population mean is greater than 3.5, because the entire 95% confidence interval is greater than 3.5.

Answers

Answer:

d) Yes, there is evidence that the population mean is greater than 3.5, because the entire 95% confidence interval is greater than 3.5.

Step-by-step explanation:

edge 2020

The evidence that the true mean number of hours of screen time for US adults is greater than 3.5 is there is evidence that the population mean is greater than 3.5, because 3.5 is not within the 95% confidence interval.

What is the confidence interval?

It is an estimate of an interval used in statistics, which contains a population parameter. This unknown population parameter is found through a sample model calculated from the collected data.

The confidence level index is directly linked to the margin of error. In that case, there is evidence that the population mean is greater than 3.5, because 3.5 is not within the 95% confidence interval.

See more about confidence interval at brainly.com/question/24131141

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Solve for x pleasssee help

Answers

Answer:

x=8

Step-by-step explanation:

13=x+5

8=x

Answer:

x = 8

Step-by-step explanation:

Okay, so the top and bottom of a parallelogram are equal (or else it would be a trapezoid), so we just have to construct our cute lil algebraic expression:

x + 5 = 13

So now we have to do the inverse operations thingy:

13 - 5 = 8

So x = 8

tell me if this is wrong so I can fix it

hope this helps:)

please i need this asap, look at the graph to the right. What is the equation for the line (in y=mx+b form)?

Answers

Answer:

The Answer is: y = - 2x + 8.

the y-intersept is 8, and the slope is -2x

HELP!! I will give 30 poins and brainliest to the one who gives me the right answer FIRST!!

Answers

Answer:

What is the question

Step-by-step explanation:

Answer:

What the question?

Step-by-step explanation:

Just got this don’t know how to do btw it’s due tomorrow

Answers

Answer:

2 and 4 answers

Step-by-step explanation:

[tex]\frac{xy}{xv} = \frac{yz}{vw} = \frac{zx}{wx}[/tex]

so the second is correct and forth is correct too

what is the answer to this

Answers

This is what I got I hope it helps
Check the image below for explanation
X=3/2
Y= 3/4

BRAINLIEST! Algebra 2 4 questions with pictures.

Answers

Answer:

1. y=2x-2

Because the slope is 2 over 1. and the y-intercept is at -2.

2. I think is y=1/5x-2

Triangle HIJ is similar to triangle KLM. Find the measure of side LM. Figures are not
drawn to scale.

Answers

Answer:

ML = 12.8

Step-by-step explanation:

24/6.4 = 48/ML

24ML = 307.2

ML = 12.8

HELP ME WITH THIS PLZ I DON'T UNDERSTEND IT PLZ HELP PPLLLZZZZZZ PLZ PLZ PLLZ HELP ME PLZ I NEED HELP PLZ HELP MMMEEEEE



Which question is statistical?




A.)What number of feet is equivalent to three miles?

B.)How many miles did your family drive last week?

C.)How many miles are between the library and the post office?

D.)How many miles does each member of the biking club ride each week?

Answers

The answer would be A

Which value of x makes the equation 0.75(x + 20) = 2 + 0.5(x - 2) true?

Answers

Answer:

x = -56

Step-by-step explanation:

0.75(x + 20) = 2 + 0.5(x - 2)

0.75x + 15 = 2 + 0.5x - 1

0.25x = -14

x = -14/0.25

x = -56

Step 1: Simplify both sides of the equation.

0.75 (x + 20) = 2 + 0.5 (x − 2)
(0.75)(x)+(0.75)(20) = 2+(0.5) (x) + (0.5)(−2)
(Distribute)

0.75x + 15 = 2 + 0.5x + −1
0.75x + 15 = (0.5x) + (2 + -1)

(Combine Like Terms)
0.75x + 15 = 0.5x + 1

Step 2: Subtract 0.5x from both sides.
0.75x + 15 − 0.5x = 0.5x + 1 − 0.5x
0.25x + 15 = 1

Step 3: Subtract 15 from both sides.
0.25x + 15 − 15 = 1 − 15
0.25x = −14

Step 4: Divide both sides by 0.25.
0.25x/0.25 = −14/0.25x

x = -56

4,12,20 find the 41st term

Answers

Answer:

The 41st term of the given series is 324

Step-by-step explanation:

a= 4

a2= 12

d= a2-a

d= 12-4 = 8

now, we have to find 41 term that is a41

a41 = a+ 40d

a41= 4+ 40× 8

a41= 4+ 320

= 324

therefore the 41st term is 324

Answer:

324

Step-by-step explanation:

The sequence observed appears to be an arithmetic sequence. The formula for an arithmetic sequence is an = a1 + (n - 1)d, where an is the nth term, a1 is the first term, n is the term position, and d is the common difference. Let's write down what we know.

n = 41

a1 = 4

d = 8

So, let's plug our values into the equation and solve.

an = 4 + (41 - 1)8

an = 4 + (40)8

an = 4 + 320

an = 324

son números racionales, ​

Answers

Yes , Rational numbers are fractions

Find the value of x.

Need the answer ASAP please

Answers

Answer:

x = 8√3

Step-by-step explanation:

What is the length of each side ???

Answers

Answer:

The answer is 10 foot

Step-by-step explanation:

A square has 4 sides, so technically 40/4 will give you the answer, which is 10.

What is the area of the shaded region?

Answers

Answer:

12

Step-by-step explanation:

sezxdrcf123456u7tyi7ouy09jiostxdfcghv tghvbyughjgbyugb7nyughb7nyujgkhnuyhkgjhbynuhjgkbynuhijgbyunhjgbyunhgbyuhjg


Mike is reading a map with a scale of 1 in. = 35 mi. On the map, the
distance Mike must drive is 5.5 in. What is the actual distance he has to
travel?

Answers

Answer:

Actual distance represented by 5.5 inch of map distance is

[tex]192.5[/tex] miles

Step-by-step explanation:

Given,

The scale of map -

1 inch on map is equal to 35 miles.

Distance measured by mike on map is equal to 5.5 inch

Actual distance represented by 5.5 inch of map distance is

[tex]= 5.5 * 35 = 192.5[/tex] miles

A circle has a circumference whose length is 25(pi). Find the length of an arc whose central angle is 120.

Answers

9514 1404 393

Answer:

  (25/3)π

Step-by-step explanation:

A central angle of 120° is 1/3 of a circle, so the arc length will be 1/3 of the circumference:

  (1/3)(25π) = (25/3)π ≈ 26.18 . . . . units

Answer:

Solution :-

Circumference = 25π

Total angle made by circle = 360

Now,

120 is ⅓ of 360⁰.

⅓ × 25π = 25π/3

Hence,

Length of arc = 25π/3

[tex] \\ [/tex]

Answer ASAP! Best Answer Will Be Awarded, Links Will Be Reported. Thanks!

Answers

Answer:

x ≤ 1/3

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

distribute the 5, combine the x, add 10 to -8 to get 2 and finally 6x < 2

Which figure will be produced by rotating Figure F 90° counterclockwise about the origin
(0,0)?

Answers

Answer:

The 3rd option

Step-by-step explanation:

The bakery packages 8 of the chocolate spheres into a box .If the density of the chocolate is 1.308 g/cm3 ,what is the total mass of the chocolate in the box

Answers

Answer:

m=DxV. 1.308x8= 10.464

Kat is interested in getting chickens so she can have fresh eggs. Before she buys her chickens, she wants to find the mean number of eggs each one will lay. She begins by randomly selecting 40 chickens from a large poultry farm and counts how many eggs each one lays within one month. She finds the mean to be 24.8 eggs with a standard deviation of 6.9 eggs. Which of the following is the 90% confidence interval for the true mean number of eggs chickens from this poultry farm lay in one month?

Find the t-table here.

(21.85, 27.75)
(22.59, 27.01)
(22.96, 26.64)
(23.38, 26.22)

Answers

Answer:

C

Step-by-step explanation:

Took it

The confidence interval of eggs chickens from this poultry farm lay in one month will be (22.96, 26.64). Then the correct option is C.

What is the confidence interval of the sample?

If the sample size is given to be n < 30, then for finding the confidence interval for mean of population from this small sample, we use t-statistic.

Let the sample mean given as μ and

The sample standard deviation σ, and

The sample size = n, and

Then the heights would be outside the 90% confidence interval will be

For 90% confidence interval, we have z = 1.645

⇒ μ ± z (σ/√n)

Kat is interested in getting chickens, so she can have fresh eggs.

Before she buys her chickens, she wants to find the mean number of eggs each one will lay.

She begins by randomly selecting 40 chickens from a large poultry farm and counts how many eggs each one lays within one month.

She finds the mean to be 24.8 eggs with a standard deviation of 6.9 eggs.

The 90% confidence interval for the true mean number of eggs chickens from this poultry farm lay in one month will be

⇒ μ ± z (σ/√n)

⇒ 24.8 ± 1.645 (6.9/√40)

⇒ 24.8 ± 1.84

Then the confidence interval of eggs chickens from this poultry farm lay in one month will be (22.96, 26.64).

Then the correct option is C.

Learn more about confidence interval of sample here:

https://brainly.com/question/23008823

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Find the volume of this shape.

Answers

Answer:

240 ml

Step-by-step explanation:

more calculations

ACELLUS HELL ASAP
Find the probability that the pitcher will
throw 4 or fewer pitches to a batter.

Answers

4/5 or 0.8 or 80%

hope you have an amazing day <3

The probability that  the pitcher will throw 4 or fewer pitches to a batter is 0.9.

What is Probability ?

The way to find the likeliness of an event is called Probability.

It is given that

Pitcher is throwing ball

The probability that he throws 4 or fewer pitches to a batter is = ?

The no. of favourable outcomes for the given condition is

P(X ≤4 ) = P(X=1) + P(X =2) + P(X=3)+P(X=4)

Total Outcomes = 15+20+40+15+20

Total outcomes = 100

Favourable outcomes = 15+20+40+15

Favourable Outcomes = 90

Probability =  Favourable Outcomes / Total Outcomes \

Probability = 90/100 = 0.9

Therefore the probability that  the pitcher will throw 4 or fewer pitches to a batter is 0.9.

To know more about Probability

https://brainly.com/question/11234923

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Identify the coordinates of triangle ABC when it is dilated by a scale factor of 2 from the origin (0,0).

Answers

Answer:

[tex]A' = (-4,4)[/tex]

[tex]B' = (2,6)[/tex]

[tex]C' = (2,0)[/tex]

Step-by-step explanation:

Given [Missing from the question]

[tex]A = (-2,2)[/tex]

[tex]B= (1,3)[/tex]

[tex]C= (1,0)[/tex]

[tex]k = 2[/tex] --- scale factor

Required

The new coordinates

The new coordinate is calculated by:

[tex]New = Old * k[/tex]

So, we have:

[tex]A' = A * 2[/tex]

[tex]A' = (-2,2) * 2[/tex]

[tex]A' = (-4,4)[/tex]

[tex]B' = B * 2[/tex]

[tex]B' = (1,3) * 2[/tex]

[tex]B' = (2,6)[/tex]

[tex]C' = C * 2[/tex]

[tex]C' = (1,0) * 2[/tex]

[tex]C' = (2,0)[/tex]

Which ones are right?
Any links get reported!

Answers

Answer:

you did it right

I hope it's helps you

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