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MA_775_DIABLO [31]
3 years ago
6

A 400-kg box is lifted vertically upward with constant velocity by means of two cables pulling at 40. 0° on either side of the v

ertical direction. What is the tension in each cable?.
SAT
1 answer:
amm18123 years ago
7 0

Answer:

2558 N.

Explanation:Each rope takes half, so the vertical component of the force on each rope is half of this, or 1960 N.. But they are pulling at a 40 degree angle, so if t is the tension then t*cos(40) = 1960. This gives t = 2558 N.

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bazaltina [42]
The answer ion know what you speaking
7 0
3 years ago
Determine the empirical formula of a compound containing 47. 37 grams of carbon, 10. 59 grams of hydrogen, and 42. 04 grams of o
Effectus [21]

Considering the definition of empirical formula, the empirical formula is C₃H₈O₂ and the molecular formula is C₉H₂₄O₆.

<h3>Definition of empirical formula</h3>

The empirical formula is the simplest expression to represent a chemical compound, which indicates the elements that are present and the minimum proportion in whole numbers that exist between its atoms, that is, the subscripts of chemical formulas are reduced to the most integers. small as possible.

<h3>Empirical formula in this case</h3>

In this case, you have:

  • Carbon (C): 47.37 grams
  • Hydrogen (H): 10.59 grams
  • Oxygen (O):  42.04 grams

Then it is possible to calculate the number of moles of each atom in the molecule, taking into account the corresponding molar mass:

  • Carbon (C): \frac{47.37 grams}{12 \frac{g}{mole} }= 3.95 moles
  • Hydrogen (H): \frac{10.59 grams}{1 \frac{g}{mole} }= 10.59 moles
  • Oxygen (O):  \frac{42.04 grams}{16 \frac{g}{mole} }= 2.63 moles

The empirical formula must be expressed using whole number relationships, for this the numbers of moles are divided by the smallest result of those obtained. In this case:

  • Carbon (C): \frac{3.95 moles}{2.63 moles }= 1.5
  • Hydrogen (H): \frac{10.59 moles}{2.63 moles }= 4
  • Oxygen (O):  \frac{2.63 moles}{2.63 moles }= 1

Finally, since in the empirical formula the numbers of moles must be expressed in whole numbers, the ratio of atoms is multiplied by some number with which everything is obtained in simple whole numbers (in this case by 2):

  • Carbon (C): 1.5× 2= 3
  • Hydrogen (H): 4× 2= 8
  • Oxygen (O):  1× 2= 2

Therefore the C: H: O mole ratio is 3: 8: 2

Finally, the empirical formula is C₃H₈O₂.

<h3>Molecular formula</h3>

To obtain the molecular formula you must relate its molecular weight (PMc) with the molecular weight of the empirical formula (PMfe).

PMfe= PM (C₃H₈O₂)= 76 g/mole

The molar mass of the compound (PMc) was determined to be 228.276 g/mol. Dividing this mass PMc by the molar mass of the empirical formula PMfe gives:

228.276 g/mol ÷ 76 g/mole= 3

This means that in the molecular formula there are 3 unit formulas (empirical formulas), so it is necessary to multiply the number of all atoms by 3.

Then, the molecular formula is C₉H₂₄O₆.

Learn more about empirical formula:

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3 0
2 years ago
Sean received both the 5th highest and the 5th lowest mark in the class. How many students are there in the class?.
kolezko [41]

If we read the complete exercise, we can understand that the correct answer is 9 students.

This is a math related exercise.

If we take into consideration that Sean is the 5th highest in the class, it means that there are four more people before him.

However, he is also the 5th lowest mark in the class, so it means that there are four more people below him.

If we also count Sean, there are:

  • 9 students in the class.

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2 years ago
Which is the Sl symbol for volume?<br> O m<br> O g<br> O L<br> O K
Tanzania [10]
It’s m3 lol my keyboard doesn’t have the feature to write it professionally but it’s m3
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3 years ago
The cj bacteria in the chickens at monita farms have a high frequency of the allele that causes fq resistance. If genetic drift
cestrela7 [59]

If the process of genetic drift was the cause of this phenomenon, then the resistance allele was also present in the original farm.

<h3>What is genetic drift?</h3>

Genetic drift is a genetic phenomenon that occurs when one allele is fixed in a population due to random chance.

Genetic drift is converse to natural selection, where an allele increases this frequency due to evolutionary constraints.

Genetic drift is well known to be the cause of allele fixation by founder population effects.

Learn more about genetic drift here:

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2 years ago
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