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Vanyuwa [196]
2 years ago
6

An acrobat of mass m slides down a vertical rope of height h. For the first three quarter of her descent she grips the rope with

her hands and legs so as to produce a fictional force equal to five-ninth of her weight.she then tighten her grip so that she comes to rest at the bottom of the rope. Sketch a (t .v) graph to illustrate her descent
Mathematics
1 answer:
Maksim231197 [3]2 years ago
7 0

Using the work-energy theorem would be best in solving this problem. The net <span>work </span>on an object causes a change in the kinetic energy of the object, based from the work-energy theorem. For this, the formula for net work = change in kinetic energy = final kinetic energy - initial kinetic energy.

 

So, first sliding distance covered 3/4 with a net force 1-5/9 = 4/9 and w (w stands for weight of acrobat) 

Therefore, work done = 4/9 * 3/4<span>
In the next step, the distance to be covered is 1/4. 
So, let the new frictional force required be X w 
Therefore, net force upward = (X - 1) w 
Thus, work to be done = (X - 1) * 1/4 w---------(2) 
Equating X = 1 + 4/3 = 7/3 </span>

<span>
<span>So, the frictional force that she must produce in the last quarter has to be 7/3 times her weight.</span></span>

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According to the chart below, what percentage of Ralph’s expenses are items other than taxes?
pochemuha

Answer:

  • <u>65%</u>

Explanation:

Please, see attached the chart corresponding to this question.

The<em> chart</em> is a pie chart that shows the percentage composition of the <em>expenses </em>and uses color to identify each item.

The items corresponding to<em> taxes</em> are:

  • <em>Federal tax: 29%</em>
  • <em>State tax: 6%</em>

All the other expenses are not taxes.

Add the two items that are taxes: 29% + 6% = 35%.

Hence, the expenses that are not taxes can be calculated by difference:

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8 0
2 years ago
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Answer:

The equivalent expression is \Rightarrow -16+37i    

A is correct

Step-by-step explanation:

 We are given two complex number and need to multiply it. To find equivalent fraction.

(4+7i)(3+4i)

Using Binomial product property: (a+b)(c+d)=ab+ad+bc+bd

\Rightarrow (4+7i)(3+4i)

\Rightarrow 4(3)+4(4i)+7i(3)+7i(4i)

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\Rightarrow 12-28+37i           \because \ \ i^2=-1

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Hence, The equivalent expression is \Rightarrow -16+37i    

4 0
2 years ago
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Answer:

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Step-by-step explanation:

45cm is the initial height

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Step-by-step explanation:

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The problem states that a pizza lover is comparing average delivery time. The null and alternative hypothesis in this case would be

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