determined only enhancements to 043. A 1.40 m thread is tied to a 50.0 g laboratory mass that a orbital radii. Com t permit greater physics student is swinging in a horizontal circle around her of these moons. as possible in the head. If a force of 4.46 N will break the thread, what is the maximum angular speed at which she can revolve the mass b. Determine the ta well as physical without breaking the thread? substituting the the centripetal @44. If a mechanic exerts 80.5 N.m while using an 18.0 cm wrench c. Calculate the pe on a stuck bolt that does not budge, how much force are the by its calculate sides of the bolt's head exerting on the mechanic's wrench if d. Compare the c t is always per- the head of the bolt is only 2.0 cm across? data. Suggest @45. Mercury orbits the sun with an average speed of 4.78 X 10" not agree with es both magni- m/s. About how long does Mercury take to orbit the sun once? 050. The diameter of a motion @46. What is the gravitational attraction between a dating couple stuck in the trea whose centers of mass are 0.630 m apart if the boy weighs 715 tude and directic on can be used N and the girl weighs 465 N? the van is travel ble quantities. DM@47. Calculate Kepler's constant for the Saturnian system of 051. The mean distar etal force. moons. Express the constant in terms of km /d. moon is 3.84 X a. At an instar increase if its DM@48. Create a scatter plot comparing the cube of each moon's connecting e acting on it orbital radius with the square of its period. (You may have to an object h limit the range of data in order to display all the points on from the ea a single graph, depending on the method you use to create b. Why would ontaining the the plot.) the two bo a. How well does the data compare to a linear fit of this plot? c. After som ccurate than b. The slope of the trendline curve is equal to what orbital gravitation itions of the quantity? ence a sta c. What do the results of this evaluation indicate about 052. Write a brie God's ordinances that Kepler described mathematically? he northern paper a disc so long- DM@49. Verify the validity of the centripetal force equation (7.11) for gravitationa the Saturnian orbital system by completing the following 53. Calculate th its orbit. steps. Be sure to first convert all data to base SI units. of one luna toward a a. Select three of Saturn's moons, such as Janus, Tethys, and @54. Prove that Iapetus, to evaluate. These three have a wide spread of average di could com- r is 3600 of radius its cen- The car's und thecentripetal acceleration otion can be us with either vector or scalar forms of the vanable quanti 46. whose cer N and the etal acceleration of an orbiting 29. Centripetal acceleration is opposite to centripetal force moons. t decreases while its tangential 30. The tangential speed of a revolving object will increase it DM047. Calculate ass remains constant.) orbital radius increases and the centripetal force acting remains the same. DM048. Create a orbital r termining the direction of the limit th ting object. 1. A torque vector is perpendicular to the plane containing applied force and the moment arm. a singl allel to angular acceleration? the plo the object's motion when 32. Early heliocentric theories were not much more accurate the a. How r points in the negative-z the best geocentric theory at predicting the positions of thy b. The planets in the heavens. qu C. WH three equations of circular $3. The earth is closer to the sun during winter in the northern Go hemisphere. This is why winter seems to drag out so long ipetal acceleration? the earth is moving more slowly at this point in its orbit, DM@49. Verif 34. A less massive falling object will not accelerate toward ; the orm circular motion, is the step Explain your answer. planet as much as a more massive object. a. end of a string horizontally 35. Cavendish had to know the value of G before he could com. then suddenly shorten the pute the earth's density. l force if you maintain the @36. A typical angular speed of an AC induction motor is 3600 rpm. Convert this speed to radians per second. acting on it, what kind of @37. A fishing sinker on a string revolves in a circle of radius 1.00 m with a constant speed of 2.75 m/s. What is its cen- display tripetal acceleration? cional equilibrium? To what alogous? @38. A car drives around a curve with a 125 m radius. The car's o was the first to propose maximum centripetal acceleration is 2.60 m/s. sun? a. What is the car's maximum speed, in km/h, around the curve? emy believe that epicycles del of the solar system? b. If the car goes twice its maximum velocity for the curve and at the same centripetal acceleration as for Part a, notions of the planets did what will be the radius of its path? evelop his second law? orbit around the sun? 39. A June bug (Phyllophaga corrosa) is clinging to the rim of a 61.0 cm bicycle wheel that is rolling with an angular speed s it travel fastest? of 1.45 revolutions per second. What is the magnitude of the epler's constant? centripetal acceleration on the insect? who, through their earlier @40. If the bicycle in Question 39 started at rest and took 5.0 s very of the law of universal he scientists mentioned in to attain the angular speed, what was the magnitude of the d friend of Newton? June bug's average angular acceleration? depend on the distances 341. If the idle speed of a compact disc in a multi-speed CD-ROM rence points is this dis- drive is 100 rpm, what is the angular acceleration if it takes 2.2 s for the disc to speed up to 2500 rpm? he weight of the lead 042. A 92.2 g blue jay (Cyanocitta cristata) wheels through the known when he calcu- trees in order to land at a backyard feeding station. If it flies with a constant speed of 24.0 km/h and makes a tight hori- zontal turn with a radius of 3.50 m, how much centripetal force must its wings exert to make the turn