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masha68 [24]
3 years ago
12

Por favor ayudenme a resolverlo

Mathematics
1 answer:
alukav5142 [94]3 years ago
6 0
I dont know that language
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A piano is hauled into space a distance 3 earth radii above the surface of the north pole and is then dropped. About how long wi
nikdorinn [45]

Answer:

The answer to the question is

It would take about 167.021 s  to splash down in the arctic ocean.

Step-by-step explanation:

The gravitational force is given by

F_G = \frac{G*m_1*m_2}{r^2}

Where m₁ mass of the piano and

m₂ = mass of the Earth

r = 3·R where R = radius of the earth

as stated in the question we have varying acceleration due to the inverse square law

Therefore at 3 × Radius of the earth we have

F_G = 109.083 N and the acceleration =1.09083 m/s²

If the body falls from 3·R to 2·R with that acceleration we have

S = u·t +0.5×a·t²  = 0.5×a·t² as u = 0

That is 6371 km = 0.5·1.09083·t²

t₁ = 108.079 s and we have

v₁² = u₁² +2·a₁·s₁ =  2·a₁·s₁ = 117.895 m/s

For the next stage r₂ = 2R

Therefore F = 245.436 N and a₂ = F/m₁ = 2.45436 m/s²

Therefore the time from 2R to R is given by

S₂ =R=u·t+0.5·a₂·t² = v₁·t + 0.5·a₂·t²

or 6371 km = 117.895 m/s × t + 0.5 × 2.45436 × t²

Which gives 1.22718 × t² + 117.895 × t -6371  = 0

Factorizing we have (t+134.631)(t-38.56)×1.22718 = 0

Therefore t = -134.631 s or 38.56 s as we only deal with positive values of time in the present question we have t₂ = 38.56 s and

v₂² = v₁² + 2·a₂·S  = (117.895 m/s)² + 2·2.45436 m/s²×6371 km = 45172.686

v₂ = 212.54 m/s

For final stage we have r = R and

F_{G3} = 981.746 N and a₂ = F/m₁ = 9.81746 m/s²

Therefore the time from R to the arctic ocean  is given by

S₃ =R=v₂·t+0.5·a₂·t² = 212.54·t + 0.5·9.81746·t² = 6371

Which gives

Therefore t₃ = 20.382 s

Therefore, it will take about t₁ + t₂ + t₃ = 108.079 s + 38.56 s + 20.382 s  = 167.021 s  to splash down in the ocean

6 0
2 years ago
Hello can someone please help me with this
Artemon [7]

Answer:

C) 1

Step-by-step explanation:

Its the closest to 1.04

3 0
2 years ago
Mr Renner is decorating a bulletin board with groups of shapes. each group has 3 shapes and 2/3 of the shapes are snowflakes if
Galina-37 [17]
Mr. Renner will need 8 snowflakes. This is because 2/3 of three is 2 since it is 2 out of 3. Then, you multiply 2 times 4 since there are 4 groups. Then you get your answer of 8 snowflakes.
7 0
3 years ago
0.2(3k+1)=-0.4-(-0.2-0.1K)
Tanya [424]

Answer:

k=−0.8

Step-by-step explanation:

Start with the equation: 0.2(3k+1)=-0.4-(-0.2-0.1K)

Use distributive property on each side of the equation. For the left side, distribute 0.2 into 3k and 1, and for the right side, distribute -1 into -0.2 and -0.1k. (We use a -1 because the negative sign on the outside of the parenthesis is equivalent to -1)

(0.2)(3k) + (0.2)(1) = 0.6k + 0.2

(-1)(-0.2) + (-1)(-0.1k) = 0.2 + 0.1k

New equation: 0.6k + 0.2 = -0.4 + 0.2 + 0.1k

Now we can combine like terms on the right side. (-0.4 and 0.2)

0.6k + 0.2 = 0.1k - 0.2

Now to get rid of k on one side, we can subtract 0.1k from the right side.

(0.6k - 0.1k) + 0.2 = (0.1k - 0.1k) - 0.2

0.5k + 0.2 = -0.2

Now we need to get 0.5k by itself, so we'll subtract the 0.2 on both sides.

0.5k + (0.2 - 0.2) = (-0.2 - 0.2)

0.5k = -0.4

To get k by itself, we must divide both sides by 0.5.

(0.5k / 0.5) = (-0.4 / 0.5)

k = -0.8

4 0
2 years ago
If my car has 19 seats 6 are full what is left
Zarrin [17]
19 - 6 = 12

You will have 12 seats left
4 0
3 years ago
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