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Two balls 4 cm in diameter are placed 100 m apart on a frictionless hori- zontal plane at 43°N. If the balls are impulsively propelled directly at each other with equal speeds, at what speed must they travel so that they just miss each other? Iong a straight horizontal

Two balls 4 cm in diameter are placed 100 m apart on a frictionless hori- zontal plane at 43°N. If the balls are impulsively propelled directly at each other with equal speeds, at what speed must they travel so that they just miss each other? Iong a straight horizontal

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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1.6 Practice Problem
lite orbiting in the equa- be a synchronous satellite (i.e., can remain above the same spot on the surface of Earth). 1.3. An artificial satellite is placed in a natural synchronous orbit above the equator and is attached to Earth below by a wire. A second satellite is attached to the first by a wire of the same length and is placed in orbit directly above the first at the same angular velocity. Assuming that the wires have zero mass, calculate the tension in the wires per unit mass of satel- lite. Could this tension be used to lift objects into orbit with no additional expenditure of energy? 1.4. A train is running smoothly along a curved track at the rate of 50 ms-. A passenger standing on a set of scales observes that his weight is 10% greater than when the train is at rest. The track is banked so that the force acting on the passenger is normal to the floor of the train. What is the radius of curvature of the track? 1.5. If a baseball player throws a ball a horizontal distance of 100 m at 30° latitude in 4 s, by how much is the ball deflected laterally as a result of the rotation of Earth? 1.6. Two balls 4 cm in diameter are placed 100 m apart on a frictionless hori- zontal plane at 43°N. If the balls are impulsively propelled directly at each other with equal speeds, at what speed must they travel so that they just miss each other? 1.7. A locomotive of mass 2 x 105 kg travels 50 ms-l along a straight horizontal track at 43°N. What lateral force is exerted on the rails? Compare the mag- nitudes of the upward reaction force exerted by the rails for cases where the locomotive is traveling eastward and westward, respectively. 1.8. Find the horizontal displacement of a body dropped from a fixed platform at a height h at the equator, neglecting the effects of air resistance. What is the numerical value of the displacement for h = 5 km? 1.9. A bullet is fired directly upward with initial speed wo at latitude o. Neglect- ing air resistance, by what distance will it be displaced horizontally when it returns to the ground? (Neglect 22u cos o compared to g in the vertical momentum equation.) 1.10. A block of mass M =1 kg is suspended from the end of a weightless string. The other end of the string is passed through a small hole in a horizontal platform and a ball of mass m = 10 kg is attached. At what angular veloc- ity must the ball rotate on the horizontal platform to balance the weight of the block if the horizontal distance of the ball from the hole is 1 m? ntating, the block is pulled down 10 cm. What is the new Work is done in pulling down the
Transcribed Image Text:lite orbiting in the equa- be a synchronous satellite (i.e., can remain above the same spot on the surface of Earth). 1.3. An artificial satellite is placed in a natural synchronous orbit above the equator and is attached to Earth below by a wire. A second satellite is attached to the first by a wire of the same length and is placed in orbit directly above the first at the same angular velocity. Assuming that the wires have zero mass, calculate the tension in the wires per unit mass of satel- lite. Could this tension be used to lift objects into orbit with no additional expenditure of energy? 1.4. A train is running smoothly along a curved track at the rate of 50 ms-. A passenger standing on a set of scales observes that his weight is 10% greater than when the train is at rest. The track is banked so that the force acting on the passenger is normal to the floor of the train. What is the radius of curvature of the track? 1.5. If a baseball player throws a ball a horizontal distance of 100 m at 30° latitude in 4 s, by how much is the ball deflected laterally as a result of the rotation of Earth? 1.6. Two balls 4 cm in diameter are placed 100 m apart on a frictionless hori- zontal plane at 43°N. If the balls are impulsively propelled directly at each other with equal speeds, at what speed must they travel so that they just miss each other? 1.7. A locomotive of mass 2 x 105 kg travels 50 ms-l along a straight horizontal track at 43°N. What lateral force is exerted on the rails? Compare the mag- nitudes of the upward reaction force exerted by the rails for cases where the locomotive is traveling eastward and westward, respectively. 1.8. Find the horizontal displacement of a body dropped from a fixed platform at a height h at the equator, neglecting the effects of air resistance. What is the numerical value of the displacement for h = 5 km? 1.9. A bullet is fired directly upward with initial speed wo at latitude o. Neglect- ing air resistance, by what distance will it be displaced horizontally when it returns to the ground? (Neglect 22u cos o compared to g in the vertical momentum equation.) 1.10. A block of mass M =1 kg is suspended from the end of a weightless string. The other end of the string is passed through a small hole in a horizontal platform and a ball of mass m = 10 kg is attached. At what angular veloc- ity must the ball rotate on the horizontal platform to balance the weight of the block if the horizontal distance of the ball from the hole is 1 m? ntating, the block is pulled down 10 cm. What is the new Work is done in pulling down the
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