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PHYSICS CHAPTER 5 SECTION 1 Worksheet 1 Name 1. Block What is the centripetal acceleration of an object moving along a horizontal circular path of 16- meter radius with a speed of 40 m/s? (Answer 100 m/s2) 16m 2. What is the centripetal acceleration of an object moving along a horizontal circular path of 22 meter radius with a speed of 80 m/s? (Answer 290.91 m/s2) 80 m s 22m 3. If the mass of the object in problem one is 2 metric tons, what centripetal force is required to maintain it in a circular path? 1 metric ton = 1000 kilograms. 2 metric tons = 2000 kg. 4. A ball of mass 2.5 X 10 kilograms is swung at the end of a cord in a horizontal circular path at a speed of 5.0 meters per second. If the length of the cord is 2 meters, what centripetal force does the string exert on the ball? (Answer .3125 N) -2 2m 5. Calculate the centripetal force exerted on a 5.0 kilogram mass that is moving at a speed of 3 meters per second in a horizontal circular motion if the radius of the circle is (A) 1meter, (B) 2 meters. (Answer 45 N, 15 N) 1m 3m 6. Find the critical velocity of the mass in problem 4 for both radii if the mass is moving (A) in a vertical circle at the earth's surface; (B) in a vertical circle 600 kilometer above the earth's surface. (Answer 3.13 m/s, 5.42 m/s, 2.86 m/s, 4.95 m/s) 7. An automobile weighs 6.0 X 10 Newton's. If it is driven around a horizontal curve that has a radius of 250 meters at the rate of 22 meters per second, what is the centripetal force of the road on the automobile? (Answer 11853 N) 8. What is the orbiting speed of a satellite moving uniformly in a circular path 1000 kilometers above the earth? (Answer 7.345 x 103 m/s) 9. A person has a mass of 75 kilograms. If the person is standing on the equator, by how much is the person's weight changed because the earth's rotation? (Answer 2.57 kg) 4 PHYSICS CHAPTER 5 SECTION 1 Worksheet 1 10. A baseball player hits a fly ball to a height of 50 meters. After the bat strikes the ball, how much time does a fielder have to get into position to make the catch? (Answer 6.4 s) 11. A person throws a ball from the roof of a building. The ball has a velocity of 25 meters per second horizontally when it leaves the person's hand, and the ball hits the ground 3 seconds later. (A) How far does the ball fall during each second? (B) How far does the ball move horizontally during each second? (in y -4.9m, -19.6m, -44.1m, in x 25m, 50m, 75m)