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Ghella [55]
4 years ago
13

What's the total mechanical energy of a 300 kg satellite in circular orbit 1500 km above earth's surface?

Physics
1 answer:
Fed [463]4 years ago
5 0

Answer:

The mechanical energy of the satellite is about 12 Gigajoules

Explanation:

The total mechanical energy is the sum of the kinetic and potential energy:

E = E_k+E_p\\E = \frac{1}{2}mv^2+ mgh

While we can determine the potential energy from the given values (height above earth's surface), to calculate the kinetic energy the velocity of the satellite needs to be determined first.

The formula for orbital velocity is:

v = \sqrt {\frac{G\cdot m_E}{r}}

with G the gravitational constant, m_E the mass of the Earth, and r the satellite distance measured from the center of the Earth:

v = \sqrt{\frac{6.673\cdot10^{-11} Nm^2/kg^2\cdot 5.98 \cdot 10^{24} kg}{6.38 \cdot 10^6 m+ 1.5\cdot 10^6m}}=7116.20 \frac{m}{s}

This velocity points in the direction of the tangent of the orbit.

Now the kinetic and total mechanical energy can be calculated:

E_k+E_p= \frac{1}{2}mv^2+ mgh=\\=\frac{1}{2}300kg\cdot 7116.2^2\frac{m^2}{s^2}+ 300kg\cdot9.8\frac{m}{s^2}\cdot 1.5\cdot 10^6m= \\= 12006045366J\approx12 GJ

The mechanical energy of the satellite is about 12 Gigajoules

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A car is traveling at 120 km/h (75 mph). When applied the braking system can stop the car with a deceleration rate of 9.0 m/s2.
Bumek [7]

Answer:

the number of additional car lengths approximately it takes the sleepy driver to stop compared to the alert driver is 15

Explanation:

Given that;

speed of car V  = 120 km/h = 33.3333 m/s

Reaction time of an alert driver = 0.8 sec

Reaction time of an alert driver = 3 sec

extra time taken by sleepy driver over an alert driver = 3 - 0.8 = 2.2 sec

now, extra distance that car will travel in case of sleepy driver  will be'

S_d = V × 2.2 sec

S_d = 33.3333 m/s × 2.2 sec

S_d = 73.3333 m

hence, number of car of additional car length  n will be;

n = S_n / car length

n = 73.3333 m / 5m

n = 14.666 ≈ 15

Therefore, the number of additional car lengths approximately it takes the sleepy driver to stop compared to the alert driver is 15

8 0
3 years ago
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Brut [27]

Answer:

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Explanation:

A larger aperture makes it much harder to focus on more than one object. When using a telephoto lens (the ones the question is referring to), the depth of focus is very small. For example, using a telephoto lens to take a photo of a runner might get the runner in focus, but certainly not the track, or the audience behind them. If you look at photos, especially older photos, of Olympians in almost any sport you can see this.

Hope this helps!

6 0
3 years ago
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Explanation:

Given that,

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The minimum sum of the resultant vector,

R_{min}=|A_1|-|A_2|\\\\=15-25\\\\=-10

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