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Dimas [21]
2 years ago
6

What is the speed (approximately) of a 2.5-kilogram mass after it has fallen freely from rest through a distance of 12 meters?

Mathematics
1 answer:
Norma-Jean [14]2 years ago
6 0

Answer:

15.3 m/s

Step-by-step explanation:1) Find the gravitational potential energy using the equation :

     PE_g=mgh

    PE_g=2.5(12)(9.8)\\PE_g=294

2) Then use the equation for kinetic energy to solve for the velocity:

     KE=\frac{1}{2} mv^{2}

     294=\frac{1}{2}(2.5)(v^2)\\235.2=v^2\\\sqrt{235.2} =v\\15.3 m/s=v

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If it takes 20 minutes to fill a tank completely with the capacity of 1000 l find the rate at which water flows in litres per mi
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2 years ago
Find the minimum sample size necessary to be 99% confident that the population mean is within 3 units of the sample mean given t
SVEN [57.7K]

Answer:

The minimum sample size required is 207.

Step-by-step explanation:

The (1 - <em>α</em>) % confidence interval for population mean <em>μ</em> is:

CI=\bar x\pm z_{\alpha /2}\frac{\sigma}{\sqrt{n}}

The margin of error of this confidence interval is:

MOE=z_{\alpha /2}\frac{\sigma}{\sqrt{n}}

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*Use a <em>z</em>-table for the critical value.

Compute the value of <em>n</em> as follows:

MOE=z_{\alpha /2}\frac{\sigma}{\sqrt{n}}\\3=2.576\times \frac{29}{\sqrt{n}} \\n=[\frac{2.576\times29}{3} ]^{2}\\=206.69\\\approx207

Thus, the minimum sample size required is 207.

3 0
2 years ago
Graph this equation y=x^2-6x-3
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You’re final answer would come out to this hope this helps :)

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3 years ago
What is the definition of distributive property?
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The distributive property is one of the most frequently used properties in math. In general, this term refers to the distributive property of multiplication which states that the. Definition: Thedistributive property lets you multiply a sum by multiplying each addend separately and then add the products.
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3 years ago
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