3. A satellite has a mass of 5890 kg and is in a circular orbit 4.20 x 105 m above the surface of a planet. The period of the orbit is 2.45 hours. The radius of the planet is 4.40 x 106 m. What would be the true weight of the satellite if it were at rest on the planet's surface? (G = 6.67 x 10-¹1 N.m²/kg²)

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3. A satellite has a mass of 5890 kg and is in a circular orbit 4.20 x 105 m above the surface of a planet. The period of
the orbit is 2.45 hours. The radius of the planet is 4.40 x 106 m. What would be the true weight of the satellite if it were
at rest on the planet's surface? (G = 6.67 x 10-¹1 N.m²/kg²)
X 17.29 N
30
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260
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MacBook Air
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MOSISO
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Transcribed Image Text:Q A Z и S command # 3 3. A satellite has a mass of 5890 kg and is in a circular orbit 4.20 x 105 m above the surface of a planet. The period of the orbit is 2.45 hours. The radius of the planet is 4.40 x 106 m. What would be the true weight of the satellite if it were at rest on the planet's surface? (G = 6.67 x 10-¹1 N.m²/kg²) X 17.29 N 30 E D C 4 260 R F 5 V T G 6 MacBook Air B Y 7 H SWA U N 8 J Di ( 9 K M MOSISO Show my other submissions command option
Expert Solution
Step 1

Given,

Mass of the satellite, m=5890kg

The radius of the orbit, r=4.2×105m

The period of the orbit, T=2.45hrs

The radius of the planet, R=4.4×106m

The gravitational force will be equal to the centripetal force,

FG=FCGmMr+R2=mr+Rω26.67×10-11×M4.2×105+4.4×1063=2πT2M=6.621×10312.45×36002M=8.51×1023kg

So, the mass of the planet,M=8.51×1023kg

 

 

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