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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

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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. kg = 6.38 x mm, mE = 5.93 X 102%9, G = 6.67 x 10'11 NmZg} a. Calculate the strength of Earth's gravitational field at a point at the peak of Haleakala. [T 3 marks] 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 ofthe Earth? [T 2 marks] 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. [T 4 marks]

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