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Chapter 5: Q4 (page 206)
Tarzan swings back and forth on a vine. At the microscopic level, why is the tension force on Tarzan by the vine greater than it would be if he were hanging motionless?
As the vine stretches more, that pulls up more Tarzan.
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You swing a bucket full of water in a vertical circle at the end of a rope. The mass of the bucket plus the water is .The center of mass of the bucket plus the water moves in a circle of radius. At the instant that the bucket is at the top of the circle, the speed of the bucket is 4 m/s. What is the tension in the rope at this instant?
If the radius of a merry-go-round is, and it takesto go around once, what is the speed of an atom at the outer rim? What is the direction of the velocity of this atom: toward the center, away from the center, or tangential?
Anload is suspended as shown in Figure . (a) Calculate the tension in all three wires (that is, the magnitude of the tension force exerted by each of these wires). (b) These wires are made of a material whose value for Young’s modulus is . The diameter of the wires is . What is the strain (fractional stretch) in each wire?
You're driving a vehicle of mass 1350kgand you need to make a turn on a flat road. The radius of curvature of the turn is. The coefficient of static friction and the coefficient of kinetic friction are both 0.25.
(a) What is the fastest speed you can drive and still make it around the turn? Invent symbols for the various quantities and solve algebraically before plugging in numbers.
(b) Which of the following statements are true about this situation?
(1) The net force is nonzero and points away from the centre of the kissing circle. (2) The rate of change of the momentum is nonzero and points away from the centre of the kissing circle.
(3) The rate of change of the momentum is nonzero and points toward the centre of the kissing circle.
(4) The momentum points toward the centre of the kissing circle.
(5) The centrifugal force balances the force of the road, so the net force is zero. (6) The net force is nonzero and points two and the centre of the kissing circle.
(c) Look at your algebraic analysis and answer the following question. Suppose that your vehicle had a mass five times as big. Now what is the fastest speed you can drive and still make it around the turn?
(d) Look at your algebraic analysis and answer the following question. Suppose that you have the originalvehicle but the turn has a radius twice as large (152 m). What is the fastest speed you can drive and still make it around the turn? This problem shows why high-speed curves on freeways have very large radii of curvature, but low-speed entrance and exit ramps can have smaller radii of curvature.
A child of mass 26kg swings at the end of an elastic cord. At the bottom of the swing, the child's velocity is horizontal, and the speed is 12m/sAt this instant the cord is 4.30mlong.
(a) At this instant, what is the parallel component of the rate of change of the child's momentum?
(b) At this instant, what is the perpendicular component of the rate of change of the child's momentum?
(c) At this instant, what is the net force acting on the child?
(d) What is the magnitude of the force that the elastic cord exerts on the child? (It helps to draw a diagram of the forces.)
(e) The relaxed length of the elastic cord is 4.22m. What is the stiffness of the cord?
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