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Practice Exercises: 1. Calculate the force of attraction between two bodies having 90 kg and 60 kg. respectively, with a distance of 0.4 km apart. 2. The average orbital distance of Mars is 1.52 times the average orbital distance of the Earth. Knowing that the Earth orbits the sun in approximately 365 days, use Kepler's law of harmonies to predict the time for Mars to orbit the sun. 3. A 2 kg ball on a string is rotated about a circle of radius 10 m. The maximum tension allowed in the string is 50 N. What is the maximum speed of the ball? The centripetal force in this case is provided entirely by the tension in the string. If the maximum value of the tension is 50 N, and the radius is set at 10 m we only need to plug these two values into the equation for centripetal force: III. WHAT HAVE I LEARNED EVALUATION/POST TEST: Solve the following set of problems. Show your solutions in your notebook. 1. The masses of the Earth and the moon are 5.97 x 1024 kg and 7.36 x 1022 kg, respectively, while the average earth-moon distance is 3.84 x 10 m. What gravitational force exists between them? 2. Suppose a small planet is discovered that is 14 times as far from the sun as the Earth's distance is from the sun (1.5 x 1011 m). Use Kepler's law of harmonies to predict the orbital period of such a planet. Given: [?/R3 = 2.97 x 10-19 s?/m 3. The maximum lift provided by a 500-kg airplane is 10000 N. If the plane travels at 100 m/s. what is its shortest possible turning radius