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Makovka662 [10]
3 years ago
15

A hypothetical spherical planet consists entirely of iron. what is the period of a satellite that orbits this planet just above

its surface?
Physics
1 answer:
san4es73 [151]3 years ago
7 0
Newton states: F=G*M*m/ r^2, where M= ρ* (4/3)*pi*r^3 is mass of iron planet, r is radius of the planet; 
<span> the same gravity force F=m*w^2*r is the centripetal force for the orbiting satellite, where angular speed w=2pi/T, T is period; </span>
<span> thus F=F; G*M*m/ r^2 = m*w^2*r; or; </span>
<span>G*(ρ* (4/3)*pi*r^3)/ r^2 = (2pi/T)^2*r; or; </span>
<span>G*ρ/3 = pi/T^2, hence T= √(3pi/(G*ρ)) = </span>
<span>= √(3pi/(6.6742E-11 *7860)) =4238.62s = 70h 38’;</span>
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Answer:

C. 28.09 amu

Explanation:

The natural occurring element exist in 3 isotopic forms: namely X-28 (27.977 amu, 92.23% abundance),  X-29 (28.976 amu, 4.67% abundance) and  X-30 (29.974 amu, 3.10% abundance).

The atomic weight of elements depends on the isotopic abundance. If you know the fractional abundance and the mass of the isotopes the atomic weight can be computed.

The atomic weight is computed as follows:

atomic weight = mass of X-28 × fractional abundance + mass of X-29 × fractional abundance + mass of  X-30 × fractional abundance

atomic weight = 27.977 × 0.9223 + 28.976 × 0.0467 + 29.974 ×  0.0310

atomic weight = 25.8031871 + 1.3531792 + 0.929194

atomic weight = 28.0855603 amu

To 2 decimal place atomic weight = 28.09 amu

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Answer:T=21.33 ^{\circ}

Explanation:

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