13. Haleakala, located on the island of Maui has a peak of 3055 m above sea level. Assume that sea level defines the height of Earth's surface. (TE = 6.38 × 106 m, m = 5.98 × 10²4 kg, G = 6.67 × 10-¹¹ Nm²/kg²) a. Calculate the strength of Earth's gravitational field at a point at the peak of Haleakala. b. What is the ratio of the strength of Earth's gravitational field at the top of Haleakala to the strength at a point 64416m below the surface of the Earth? c. A tourist watching the sunrise on top of Haleakala watches a satellite orbiting Earth at an altitude 3580 km above his position. Determine the speed of the satellite.

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13. Haleakala, located on the island of Maui has a peak of 3055 m above sea level. Assume that sea level
defines the height of Earth's surface.
(TE = 6.38 × 106 m, m = 5.98 × 10²4 kg, G = 6.67 × 10-¹¹ Nm²/kg²)
a. Calculate the strength of Earth's gravitational field at a point at the peak of Haleakala.
b. What is the ratio of the strength of Earth's gravitational field at the top of Haleakala to the strength at
a point 64416m below the surface of the Earth?
c. A tourist watching the sunrise on top of Haleakala watches a satellite orbiting Earth at an altitude 3580
km above his position. Determine the speed of the satellite.
Transcribed Image Text:13. Haleakala, located on the island of Maui has a peak of 3055 m above sea level. Assume that sea level defines the height of Earth's surface. (TE = 6.38 × 106 m, m = 5.98 × 10²4 kg, G = 6.67 × 10-¹¹ Nm²/kg²) a. Calculate the strength of Earth's gravitational field at a point at the peak of Haleakala. b. What is the ratio of the strength of Earth's gravitational field at the top of Haleakala to the strength at a point 64416m below the surface of the Earth? c. A tourist watching the sunrise on top of Haleakala watches a satellite orbiting Earth at an altitude 3580 km above his position. Determine the speed of the satellite.
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