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Varvara68 [4.7K]
3 years ago
6

How many joules of gravitational potential energy are stored in a system where a feather with a mass of 0.008 kilograms is posit

ioned 22 meters above the ground? Can somebody help
Mathematics
1 answer:
8_murik_8 [283]3 years ago
5 0

Answer:

G.P.E = 1.725 Joules

Step-by-step explanation:

Given the following data;

Mass = 0.008 kg

Height, h = 22m

To find the gravitational potential energy;

Gravitational potential energy (GPE) is an energy possessed by an object or body due to its position above the earth.

Mathematically, gravitational potential energy is given by the formula;

G.P.E = mgh

Where;

G.P.E represents potential energy measured in Joules.

m represents the mass of an object.

g represents acceleration due to gravity measured in meters per seconds square.

h represents the height measured in meters.

We know that acceleration due to gravity is equal to 9.8m/s²

Substituting into the formula, we have;

GPE = 0.008 * 9.8 * 22

GPE = 1.725 Joules

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b. Find a 99% confidence interval for mean age of ICU patients using the facts that, in the sample, the mean is 57.55 years and
rjkz [21]

Answer:

<em>99% of confidence intervals for mean age of ICU patients</em>

<em>(53.8920 , 61.2079)</em>

Step-by-step explanation:

<u><em>Explanation</em></u>:-

<em>Given sample mean </em>x^{-} = 57.55<em></em>

Given standard error is determined by

                                                             S.E =\frac{S.D}{\sqrt{n} }

<em>Given data standard error = 1.42</em>

<em>99% of confidence intervals for mean is determined by</em>

(x^{-} - Z_{0.01} \frac{S.D}{\sqrt{n} } , x^{-} + Z_{0.01} \frac{S.D}{\sqrt{n} } )

Z_{\frac{\alpha }{2} } = Z_{\frac{0.01}{2} } = Z_{0.05} = 2.576

(x^{-} - 2.576 S.E , x^{-} + 2.576 S.E)

(57.55 - 2.576X 1.42 , 57.55+ 2.576 X1.42)

(53.8920 , 61.2079)

<u><em>Conclusion</em></u>:-

<em>99% of confidence intervals for mean is determined by</em>

<em>(53.8920 , 61.2079)</em>

5 0
3 years ago
A CD makes 58 1/2 revolutions in 3/4 min.
shusha [124]
The most important thing in this problem is understanding and then dividing the given units properly. The first thing that is given is that the CD makes 58 1/2 revolutions in 3/4 minutes. We have to first simplify the number of revolutions made by the CD. This will make the problem in hand very easy.
Number of revolutions made by the CD = 58 1/2
                                                               = 117/2
Then
The unit rate = (117/2)/(3/4)
                     = (117 * 4)/(2 * 3)
                     = (117 * 2)/3
                     = 39 * 2
                     78
So the unit rate is 78 revolutions per minute.
8 0
3 years ago
Read 2 more answers
On a trip you had to change your money from dollars to brithish pounds you got 560 pounds for 800dollars
Scorpion4ik [409]

Answer:If we got 560 pounds for 800 dollars and x pounds for 1 dollar, this means that x = 560*1/800 <=> x = 56/80. Performing the calulation we get that x = 0.7 . So the right answer is the final one.



Step-by-step explanation:


3 0
3 years ago
While Hadley was looking through her math textbook she came across the words "inverse operations", but couldn't remember what th
egoroff_w [7]

Answer:

Inverse operations are opposite operations that undo each other. Addition and subtraction are inverse operations. Multiplication and division are inverse operations.




4 0
4 years ago
A number n minus 3 is at least –5.
melisa1 [442]

Answer:

n-3≥-5

If you need the equation solved...

n-3≥-5

<u>+3 +3</u>

n≥-2

Hope this helped!! Have a great day c:

5 0
4 years ago
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