1 Circular Motion A satellite orbits the Earth in a circular, geostationary orbit. Problem 1.1. Show that its orbital velocity is 7.27 × 10-5 R s−1, where R is the orbital radius. You may want to google what a "geostationary orbit" is. Problem 1.2. The gravitational acceleration acting on the satellite is GM Earth, where G = 6.67×10-11 Nm²/Kg² and MEarth = 5.98×10²4Kg. Given that the Earth's radius is 6.37×106 meters, what is the altitude of the satellite?

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a) i. b) i. Define gravitational field strength at a point. Determine the mass of the Earth assuming that it is a uniform sphere of radius 6378 km and that the gravitational field strength at the Earth's surface is 9.81 N kg¹¹. Determine the average density of the Earth. iii. Use the mass of the Earth as calculated in part b)i to determine the gravitational field strength due to the Earth at a distance of 3.5 x 108 m from the centre of the Earth. ii. iv. Consider a point X a distance of 3.5 x 108 m from the centre of the Earth and which lies on the line joining the centre of the Earth to the centre of the Moon. c) i. ii. At X the gravitational field strength due to the Moon is equal but opposite to that of the Earth. The mass of the Moon is 7.4 x 10²2 kg. Determine the distance from the centre of the Moon to X and hence determine the distance between the centres of the Earth and Moon. Determine the time in Earth years for the planet Jupiter to complete one orbit of the Sun. Take 1…

180% P 7:35 stc ksa ll. Second H.W.pdf 1. Draw and label the vector with these components. Then determine the magnitude and angle of the vector. a- A, = 3 ,A, = -2 b- By = -2 ,B, = 2 2. What is the speed of horse in meter per second that runs a distance of 1.2 miles in 2.4 minutes? 3. A car moving along X- axis according on the function: X (t) = 2 t2 + 5 t + 7 on [1,2] Find: a- The average velocity. b- The acceleration at 3s. 4. Julie is walking around a track at a 2m/s for some exercise. She then decides to start jogging so she accelerates at a rate of 0.5m/s for 3 seconds. How far did Julie travel from the time she started to accelerate to the end of the 3 seconds? 5. Ralph uses a 2000 N force to push his car along a road for 1000 m. It takes him500 s to do this a- Calculate the amount of work that Ralph did on the car. b- Calculate the amount of power that he generated.