6. [-/5 Points] DETAILS KATZPSEF1 6.P.050. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Escaping from a tomb raid gone wrong, Lara Croft (m = 66.0 kg) swings across an alligator-infested river from an 8.85-m-long vine. If her speed at the bottom of the swing is 6.30 m/s and she makes it safely across the river, what is the minimum breaking strength of the vine? Need Help? Read It Submit Answer 7. [-/5 Points] DETAILS KATZPSEF1 6.P.059. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Banked curves are designed so that the radial component of the normal force on the car rounding the curve provides the centripetal force required to execute uniform circular motion and safely negotiate the curve. A car rounds a banked curve with banking angle 0 = 24.50 and radius of curvature 157 m. (a) If the coefficient of static friction between the car's tires and the road is us = 0.382, what is the range of speeds for which the car can safely negotiate the turn without slipping? Vlow =1 m/s Vhigh = m/s (b) What is the minimum value of us for which the car's minimum safe speed is zero? Note that friction points up the incline here. Need Help? Read It Submit Answer8. [-/5 Points] DETAILS KATZPSEF1 6.P.068. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Instead of moving back and forth, a conical pendulum moves in a circle at constant speed as its string traces out a cone (see figure below). One such pendulum is constructed with a string of length _ = 12.9 cm and bob of mass 0.288 kg. The string makes an angle 0 = 8.140 with the vertical. L m Bob (a) What is the radial acceleration of the bob? magnitude m/s2 direction ---Select--- v (b) What are the horizontal and vertical components of the tension force exerted by the string on the bob? (Assume radially inward to be the positive x axis and vertically upward to be the positive y axis. Express your answer in vector form.) T = Need Help? Read It Submit Answer 9. [-/5 Points] DETAILS KATZPSEF1 6.P.080.MI. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A particle of dust lands 42.0 mm from the center of a compact disc (CD) that is 120 mm in diameter. The CD speeds up from rest, and the dust particle is ejected when the CD is rotating at 80.0 revolutions per minute. What is the coefficient of static friction between the particle and the surface of the CD? Need Help? Read It Master It10. [0/5 Points] DETAILS PREVIOUS ANSWERS KATZPSEF1 8.P.061. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A stellar black hole may form when a massive star dies. The mass of the star collapses down to a single point. Imagine an astronaut orbiting a black hole having six times the mass of the Sun. Assume the orbit is circular. (a) Find the speed of the astronaut if his orbital radius is r = 1 AU. 731400000 X Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. m/s (b) Find his speed if his orbital radius is r = 8.9 km. 8993258426*10^ |m/s (c) CHECK and THINK: Compare your answers to the speed of light in a vacuum. What would the astronaut's orbital speed be if his orbital radius were smaller than 8.9 km? This answer has not been graded yet. Need Help? Read It Viewing Saved Work Revert to Last Response Submit