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ahrayia [7]
3 years ago
14

The International Space Station orbits at an average height of 350 km above sea level.???? = 6.67× 10−11 ????m2 ????????2 ⁄ ????

????????????????ℎ = 5.97 × 1024 ???????? ????????????????????ℎ = 6.37× 103 ????m(a) Determine the orbital speed of this space station.(b) The period of the space station.Draw it out for full credit
Physics
2 answers:
Nady [450]3 years ago
6 0

Answer:

i agree with the other persons answer

Explanation:

klio [65]3 years ago
4 0

Answer:

(a). The orbital speed of this space station is 7906.42 m/s.

(b).  The period of the space station is 5062.2 sec.

Explanation:

Given that,

Gravitational constant G=6.67\times10^{-11}\ Nm^2/kg^2

Mass of earth M_{e}=5.97\times10^{24}\ kg

Radius of earth R_{e}=6.37\times10^{3}\ km

(a). We need to calculate the orbital speed of this space station

Using formula of orbital speed

v=\sqrt{\dfrac{GM}{r}}

v=\sqrt{\dfrac{6.67\times10^{-11}\times5.97\times10^{24}}{6.37\times10^{6}}}

v=7906.42\ m/s

(b). We need to calculate the period of the space station

Using formula of period

T=\dfrac{2\pi r}{v}

Put the value into the formula

T=\dfrac{2\pi\times6.37\times10^{6}}{7906.42}

T=5062.2\ sec

Hence, (a). The orbital speed of this space station is 7906.42 m/s.

(b).  The period of the space station is 5062.2 sec.

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Estimate the kinetic energy of the Mars with respect to the Sun as the sum of the terms, that due to its daily rotation about it
kotykmax [81]

Answer:

K = 2.07 10³⁹ J

Explanation:

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Kinetic energy has the form

    K = ½ m v²

Linear velocity is related to angular velocity.

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replace

    K = ½ m R² w²

With this equation we can find the total kinetic energy of Mars, formed by the rotation energy plus the translational energy

     K = Kr + Kt

Where Kr is the energy by the rotation on its axis and Kt is the energy by the rotation around the sun.

Let's reduce to SI units

Rotation         T₁ = 24.7 h (3600 s / 1 h) = 88920 s

                       R₁ = 3.4 10⁶ m

translation     T₂ = 686 day (24 h / 1 day) (3600 s / 1 h) = 5.927 10⁷ s

                      R₂ = 2.3 10⁸ km (1000 m / 1 km) = 2.3 10¹¹ m

The angular velocity is the angle rotated (radians) between the time taken, in this case as the order gives us the angle is 2pi rad (360º). Remember that the equations work only in radians

Rotation

    wr = 2π / T₁

    wr = 2 π / 88920

    wr = 7.066 10⁻⁵ rad / s

Translation

    wt = 2 π / T₂

    wt = 2 π / 5,927 10⁷

    wt = 1.06 10⁻⁷-7 rad/s

Let's explicitly write the equation of kinetic energy and calculate

    K = ½ m R₁² wr² + ½ m R₂² wt²2

    K = ½ m (R₁² wr² + R₂² wt²)

    K = ½ 6.4 10²³ [(3.4 10⁶)² 7.066² + (2.3 10¹¹)² (1.06 10⁻⁷)²]

    K = 3.2 10²³ [61.49 10¹² + 6.414 10¹⁵]

    K = 3.2 10²³ [61.49 10¹² + 6414 10¹²]

    K = 3.2 10²³ (6475 10¹²)

    K = 2.07 10³⁹ J

5 0
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