An airplane flies in a loop (a circular path in a vertical plane) of radius 170 m. The pilot's head always pomts toward the center of the loop. The speed of the airplane is not constant; the airplane goes slowest at the top of the loop and fastest at the bottom. At the top of the loop, the pilot feels weightless. What is the speed of the airplane at this point?
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- A mountain climber swings a grappling hook (m=0.75 kg) at the end of a 0.6 m long rope in a vertical circle with a speed of 11 m/s. Determine the tension in the rope when the hook is at the top of the circle.What "g-force" acts on an Air Force Thunderbird pilot (mass = 78-kg) who, at the top of a loop of radius 8.5 x 102 meters, is traveling at a speed of 320 knots? 1 knot = .5144 m/s "g-force" in this case is equivalent to the normal force acting the pilot Give your answer in Newtons to the correct significant figures (2 in this case).A 10.00 kg hockey puck on the end of a 2.50 m string is being swung in a circle on a frictionless floor and is traveling at a constant speed of 5.00 m/s. At how many g’s is it being accelerated by the string to keep it going in a circle? What is the tension in the string in N?
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- A race car travels 38 m/s around a banked (45° with the horizontal) circular (radius = 0.39 km) track. What is the magnitude of the resultant force (in newtons) on the 75-kg driver of this car?A 3.00 kg mass is placed on an incline of 35 degrees. What is the parallel component of the gravitational force directed down the incline?A basketball player makes a 3 - point shot from 30.0 ft from the hoop. The ball (R = 0.394 ft) is in the air for 1 s, and the player imparts the typical 2 rev/s backspin to the ball. The density of air is 0.0024 slug /ft3. Ignore drag. Determine the magnitude of the Magnus force at the peak of the ball's trajectory. Round the final answer to two decimal places. Present the final answer in ounces.