1) The Moon’s mass is 7.35 x1022 kg, and it moves in a nearly circular orbit with radius 3.84 x 10^8 m. The period of

1) The Moon’s mass is 7.35 x1022 kg, and it moves in a nearly circular orbit with radius 3.84 x 10^8 m. The period of its motion is 27.3 days. Use this information to determine the Moon’s (a) orbital speed and (b) acceleration. 2) A sports car is advertised to have a maximum cornering acceleration of 0.85 g. (a) is the maximum speed that the car can go around a curve with a 100-m radius? (b) is its maximum speed for a 50-m radius curve? (c) If wet pavement reduces its maximum cornering acceleration to 0.6 g, what do the answers to (a) and (b) become? 3) When an object is thrown straight upward, gravity causes it to decel- erate at a rate of 1 g—its speed decreases 9.8 m/s or 22 mph each second. (a) Explain how we can use the equations, tables, and graphs for a freely falling body to analyze this motion. (b) A baseball is thrown vertically upward at a speed of 39.2 m/s (88 mph). How much time elapses before it reaches its highest point, and how high above the ground does it get? 4) A race car starts from rest on a circular track with radius 100 m and begins to increase its speed by 5 m/s each second. At what point in time is the car’s vector acceleration directed 45° away from straight ahead? is the magnitude of the resultant acceleration at that moment?

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