A.) Calculate, using Newton\'s law of gravity, the magnitude of the force of att

Question

A.) Calculate, using Newton's law of gravity, the magnitude of the force of attraction between the Earth and a mass of 43.500 kg on the Earth's surface.

The distance to the center of the Earth from the surface is 6370 km. The mass of the Earth is 5.98 x 1024 kg.
Gravitational constant G = 6.67 x 10-11 Nm2/kg2.

B.) Calculate, using Newton's law of gravity, the magnitude of the force of attraction between the Moon and a mass of 43.500 kg on the Earth's surface nearest the Moon.

The distance to the Moon from surface of the Earth is 376,000 km. The mass of moon is 7.36 x 1022 kg.
Gravitational constant G = 6.67 x 10-11 Nm2/kg2.

Explanation / Answer

A) F = GmM / R2

     = 6.67 X 10-11 X 43.5 X 5.98 X 1024 / (6.37 X 106 )2

     = 1735.07 X 1013 / 40.577 X 1012    = 427.60 N

B) F = GmM / R2

       = 6.67 X 10-11 X 43.5 X 7.36 X 1022 / (3.76 X 1010 )2  

        = 2135.467 X 10 11 / 14.1376 X 1020   = 151.05 X 10-9 N

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.