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Lorico [155]
3 years ago
6

An athlete with mass m running at speed v grabs a light rope that hangs from a ceiling of height H and swings to a maximum heigh

t of h1. In another room with a lower ceiling of height H/2 , a second athlete with mass 2m running at the same speed v grabs a light rope hanging from the ceiling and swings to a maximum height of h2 . How does the maximum height reached by the two athletes compare, and why
Mathematics
1 answer:
Angelina_Jolie [31]3 years ago
6 0

Answer:

Same height, height does not depend on mass, but on initial speed and gravity constant.

Step-by-step explanation:

It is assumed that each athlete begin at a height of zero. The physical model of each athlete is derived of application of the Principle of Energy Conservation:

Athlete A:

\frac{1}{2}\cdot m \cdot v^{2} =  m \cdot g \cdot h_{1}\\\frac{1}{2}\cdot v^{2} = g \cdot h_{1}\\h_{1} = \frac{1}{2}\cdot \frac{v^{2}}{g}

Athlete B:

\frac{1}{2}\cdot (2\cdot m) \cdot v^{2} =  (2\cdot m) \cdot g \cdot h_{2}\\\frac{1}{2}\cdot v^{2} = g \cdot h_{2}\\h_{2} = \frac{1}{2}\cdot \frac{v^{2}}{g}

Both athletes reach the same height, as maximum height is a function independent of the mass, but dependent on initial speed and gravity constant.

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MA_775_DIABLO [31]

Answer:

it will take her  13\frac{5}{24} minutes more to walk down to Raj's House

Step-by-step explanation:

It took Sheldon 17 \frac{5}{6}  minutes to walk to Raj's house

It also took Sheldon 4\frac{5}{8} minutes to use the bus.

To get the time difference between the two transport mechanisms, we subtract their different time durations.

This will be

17\frac{5}{6} - 4\frac{5}{8}=317/24

We can convert this to Mixed fractions as shown 13\frac{5}{24} minutes.

Therefore, it will take her  13\frac{5}{24} minutes more to walk down to Raj's House

4 0
2 years ago
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kirza4 [7]

Answer:

8/7

Step-by-step explanation:

The Numerator is bigger than the denominator which in turn can be converted to a mixed fraction.

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3 years ago
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AlekseyPX

Answer:

Her father is 81 inches tall.

Step-by-step explanation:

She is 2/3 as tall as her father so we divide her height by 2. 54/2=27 and then we multiply 27 by three to get 81 inches.

4 0
3 years ago
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The answer is 12!

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------The answers got taken down :(------

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3 years ago
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