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KIM
1 month ago
14

A 2600-m-high mountain is located on the equator. how much faster does a climber on top of the mountain move than a surfer at a

nearby beach? the earth's radius is 6400 km.
Physics
1 answer:
Maru [3.3K]1 month ago
5 0

The climber's speed is 0.19 m/s greater than that of the surfer on the beach.

Both individuals are on Earth and share a consistent angular velocity, but their linear speeds differ.

Calculating the seconds in a day gives us t=24*60*60=86400 sec

The linear speed on the beach is computed as

V1=\frac{2πr}{t}

Where t is the duration

Substituting values into the equation leads to

V1=\frac{2π*6.4*10^6}{86400}=465.421 m/s

The mountain's linear speed is determined as

V2=\frac{2π(r+h)}{t}

Inserting values into the equation results in

V2=\frac{2π(6.4*10^6+2600}{86400}=465.61 m/s

Thus, the climber exceeding the surfer's speed is calculated as 465.61-465.421=0.19 m/s

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The mean free path of a helium atom in helium gas at standard temperature and pressure is 0.2 um.What is the radius of the heliu
Yuliya22 [3333]

Answer: 0.10233nm

Explanation:

The mean free path of an atom can be calculated using the following equation:

\lambda=\frac{RT}{\sqrt{2} \pi d^{2}N_{A}P}    (1)

Where:

\lambda=0.2\mu m=0.2(10)^{-6}m

R=8.3145J/mol.K is referred to as the Universal gas constant

T=0\°C=273.115K represents the absolute standard temperature

d denotes the diameter of helium atoms

N_{A}=6.0221(10)^{23}/mol symbolizes Avogadro's number

P=1atm=101.3kPa=101.3(10)^{3}Pa=101.3(10)^{3}J/m^{3} indicates absolute standard pressure

<pFrom this, we can solve for d using (1), aiming to determine the radius r of the helium atom:

d=\sqrt{\frac{RT}{\sqrt{2}\pi\lambda N_{A}P}}    (2)

d=\sqrt{\frac{(8.3145J/mol.K)(273.115K)}{\sqrt{2}\pi(0.2(10)^{-6}m)(6.0221(10)^{23}/mol)(101.3(10)^{3}J/m^{3})}}    (3)

d=2.0467(10)^{-10}m    (4)

If the radius equals half of that diameter:

r=\frac{d}{2}  (5)

Eventually:

r=\frac{2.0467(10)^{-10}m}{2}  (6)

r=1.0233(10)^{-10}m  (7)

Nonetheless, we were tasked with finding this radius in nanometers. Knowing 1nm=(10)^{-9}m:

r=1.0233(10)^{-10}m.\frac{1nm}{(10)^{-9}m}=0.10233nm  (8)

Ultimately:

r=0.10233nm Represents the radius of the helium atom in nanometers.

5 0
1 month ago
A compressed spring has 16.2J of elastic potential energy when it is compressed 0.30m . What is the spring constant of the sprin
ValentinkaMS [3465]
I hope this provides the assistance you need.

3 0
1 month ago
If 2.0 mol of gas a is mixed with 1.0 mol of gas b to give a total pressure of 1.6 atm, what is the partial pressure of gas a an
serg [3582]
<span>The partial pressure of A = 1.06 atm and the partial pressure of B = 0.53 atm</span>
8 0
14 days ago
Read 2 more answers
A shuttle on Earth has a mass of 4.5 E 5 kg. Compare its weight on Earth to its weight while in orbit at a height of 6.3 E 5 met
ValentinkaMS [3465]

Response:

83%

Clarification:

At the surface, the weight can be expressed as:

W = GMm / R²

where G denotes the gravitational constant, M represents the Earth's mass, m signifies the shuttle's mass, and R is the Earth's radius.

When in orbit, the weight is given by:

w = GMm / (R+h)²

where h indicates the shuttle's altitude above Earth's surface.

The weight ratio is as follows:

w/W = R² / (R+h)²

w/W = (R / (R+h))²

For R = 6.4×10⁶ m and h = 6.3×10⁵ m:

w/W = (6.4×10⁶ / 7.03×10⁶)²

w/W = 0.83

Thus, the shuttle maintains 83% of its weight as it orbits.

4 0
1 month ago
Which model is used to describe the interaction of external forces that affect an organization's strategy and ability to compete
ValentinkaMS [3465]

Answer:

Competitive forces model

Explanation:

The Competitive forces model is a crucial instrument in strategic analysis aiming to assess an organization’s competitiveness. Commonly referred to as the "Five Force Model of Porter", this framework includes five key factors: the intensity of rivalry among existing competitors, the negotiating power of buyers, the threat posed by potential new entrants, the bargaining strength of suppliers, and the risk of substitute products or services.

These elements significantly influence an organization's competitive strategy and its likelihood of success.

5 0
1 month ago
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