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IRISSAK [1]
3 years ago
7

A 0.68 kg squirrel is resting on a branch 8 meters above the ground. What is the gravitational potential energy of a squirrel? A

: 2.27 J. B :5.44 J. C :21.76 J. D :53.312 J
Physics
1 answer:
ANEK [815]3 years ago
7 0

Answer:

The gravitational potential energy of a squirrel is 53.312 J.

Explanation:

We have,

Mass of a squirrel is 0.68 kg

It is placed at a height of 8 m above the ground.

It is required to find the gravitational potential energy of a squirrel. It is possessed by an object due to its position. Its formula is given by :

E=mgh\\\\E=0.68\times 9.8\times 8\\\\E=53.312\ J

So, the gravitational potential energy of a squirrel is 53.312 J.

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A piece of wire 25 m long is cut into two pieces. One piece is bent into a square and the other is bent into an equilateral tria
Dmitry [639]

Answer:

10.87 m

Explanation:

Total length of the wire = 25 m

Let the length of one piece is y and other piece is 25 - y

Let the side of square is a.

So, 4 a = y

a = y / 4

And the side of triangle is b

3 b = (25 - y)

b = (25 - y) / 3

Area of square, A1 = side x side =

A1 = y² / 16

Area of equilateral triangle, A2 = \frac{\sqrt{3}}{4}\times b^{2}

A_{2}=\frac{\sqrt{3}}{4}\frac{\left ( 25-y \right )^{2}}{9}

Total area, A = A1 + A2

A=\frac{y^{2}}{16}+\frac{\sqrt{3}}{4}\frac{\left ( 25-y \right )^{2}}{9}

For maxima and minima, fins dA /dy

\frac{dA}{dy}=\frac{y}{8}-\frac{1.732}{18} \times \frac{25-y}{1}

It is equal to zero.

\frac{y}{8}=\frac{1.732}{18} \times \frac{25-y}{1}

9y = 173.2 -6.928 y

15.928 y = 173.2

y = 10.87 m

So, the length of wire to make square is 10.87 m.

3 0
3 years ago
Why is earths core so hot?
Luda [366]
Hello!

Answer and explanation:

There are three main sources of heat in the deep earth:

1) heat from when the planet formed and accreted, which has not yet been lost.

2)frictional heating, caused by denser core material sinking to the center of the planet.

3) heat from the decay of radioactive elements.


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Why are understandings of patterns so important to human development?
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Patterns provide a sense of order in what might otherwise appear chaotic. Researchers have found that understanding and being able to identify recurring patterns allow us to make educated guesses, assumptions, and hypothesis; it helps us develop important skills of critical thinking and logic
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Astronauts aboard the ISS move at about 8000 m/s, relative to us when we look upward.How long does an astronaut need to stay abo
Luba_88 [7]

Answer:

#_time = 7.5 10⁴ s

Explanation:

In order for the astronaut to be younger than the people on earth, it follows that the speed of light has a constant speed in vacuum (c = 3 108 m / s), therefore with the expressions of special relativity we have.

            t = \frac{t_p}{ \sqrt{1-  (v/c)^2} }

where t_p is the person's own time in an immobile reference frame,

           t_{p} = t \sqrt{1 - (\frac{v}{c})^2 }

let's calculate

we assume that the speed of the space station is constant

              t_p = 1 \sqrt{1 - \frac{8 \ 10^3}{3 \ 10^8} }

             t_p = 1 \sqrt{1- 2.6666 \ 10^{-5}}

             t_ =  0.99998666657   s

             

therefore the time change is

             Δt = t - t_p

             Δt = 1 - 0.9998666657                  

              Δt = 1.3333 10⁻⁵ s

this is the delay in each second, therefore we can use a direct rule of proportions. If Δt was delayed every second, how much second (#_time) is needed for a total delay of Δt = 1 s

               #_time = 1 / Δt

               #_time =\frac{1}{1.3333 \ 10^{-5}}

               #_time = 7.5 10⁴ s

5 0
3 years ago
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