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An airplane pilot flying at constant velocity and altitude drops a flare. Ignoring air resis- tance, where will the plane be relative to the flare when the flare hits the ground? 9 ! An athlete whirls a 7.00-kg hammer tied to 2 Sue whirls a yo-yo horizontally above her the end of a 1.3-m chain in a horizontal circle. head. What is the direction of the force that The hammer moves at the rate of 1.0 r/s. acts on the yo-yo? a. What is the centripetal acceleration of the hammer? 3. Sam throws a baseball horizontally from the b. What is the tension in the chain? top of a cliff. If Sam throws the baseball with higher speed, a. how will the time it takes to hit the ground 10: According to the Guinness Book of World be affected? Records, (1990 edition, p. 169) the highest b. how will the horizontal distance be af- rotary speed ever attained was 2010 m/s. The fected? rotating rod was 15.3 cm long. Assume the speed quoted is that of the end of the rod. Sue is swinging a yo-yo around her head. a. What is the centripetal acceleration of the What happens to the size of the centripetal end of the rod? acceleration if the mass of the yo-yo is dou- b. If you were to attach a 1.00-g object to the bled without changing the period or length of end of the rod, what force would be the string? needed to hold it on the rod? c. What is the period of rotation of the rod? 5, A stone is thrown horizontally at 8.0 m/s from [)Friction provides the centripetal force neces- a cliff 78.4 m high. How far from the base of sary for a car to travel around a flat circular the cliff does the stone strike the ground? race track. What is the maximum speed at 4 which a car can safely travel around a circular An airplane traveling 1001 m above the ocean track of radius 80.0 m if the coefficient of fric- "at 125 km/h is to drop a box of supplies to tion between. the tire and road is 0.30? shipwrecked victims below. A pendulum has a length of 0.67 m. . a. How many seconds before being directly overhead should the box be dropped? b. What is the horizontal distance between the plane and the victims when the box is dropped? JAn arrow is shot at a 30.0 angle with the hor- 'izontal. It has a velocity of 49 m/s. a. How high will the arrow go? b. What horizontal distance will it travel? g. it takes a 615-kg racing car 14.3 s to travel at a uniform speed around a circular racetrack of 50.0 m radius. a. What is the acceleration of the car? b. What average force must the track exert on the tires to produce this acceleration