물리학 1 연습문제 풀이 2014-03-14 3-51 (Halliday 9th ed.) Rock faults are ruptures along which opposite faces of rock have slid past each other. In the figure, points A and B coincided before the rock in the foreground slid down to the right. The net displacement 𝐴𝐵 is along the plane of the fault. The horizontal component of 𝐴𝐵 is the strike-slip AC. The component of 𝐴𝐵 that is directed down the plane of the fault is the dip-slip AD. (a) What is the magnitude of the net displacement 𝐴𝐵 if the strike-slip is 22.0 m and the dipslip is 17.0 m? (b) If the plane of the fault is inclined at angle 𝜙 = 52.0° to the horizontal, what is the vertical component of 𝐴𝐵? 4-86 (Halliday 9th ed.) In the figure, a radar station detects an airplane approaching directly from the east. At first observation, the airplane is at distance 𝑑1 =360 m from the station and at angle 𝜃1 = 40° above the horizon. The airplane is tracked through an angular change ∆𝜃 =123° in the vertical east-west plane; its distance is then 𝑑2 =790 m. Find the (a) magnitude and (b) direction of the airplane's displacement during this period. 5-54 (Halliday 9th ed.) Figure shows four penguins that are being playfully pulled along very slippery (frictionless) ice by a curator. The masses of three penguins and the tension in two of the cords are m1=12 kg, m3=15 kg, m4=20 kg, T2 =111 N, and T4=222 N. Find the penguin mass m2 that is not given. 5-66 (Halliday 9th ed.) Figure shows a section of a cable-car system. The maximum permissible mass of each car with occupants is 2800 kg. The cars, riding on a support cable, are pulled by a second cable attached to the support tower on each car. Assume that the cables are taut and inclined at angle 𝜃 =35 ° . What is the difference in tension between adjacent sections of pull cable if the cars are at the maximum permissible mass and are being accelerated up the incline at 0.81 𝑚/𝑠2 ? 6-34 (Halliday 9th ed.) In Figure, a slab of mass m1=40 kg rests on a frictionless floor, and a block of mass m2=10 kg rests on top of the slab. Between block and slab, the coefficient of static friction is 0.60, and the coefficient of kinetic friction is 0.40. The block is pulled by a horizontal force 𝐹 of magnitude 100 N. In unit-vector notation, what are the resulting accelerations of (a) the block and (b) the slab? 6-49 (Halliday 9th ed.) In figure, a car is driven at constant speed over a circular hill and then into a circular valley with the same radius. At the top of the hill, the normal force on the driver from the car seat is 0. The driver's mass is 70.0 kg. What is the magnitude of the normal force on the driver from the seat when the car passes through the bottom of the valley? 6-70 (Halliday 9th ed.) Figure shows a conical pendulum, in which the bob (the small object at the lower end of the cord) moves in a horizontal circle at constant speed. (The cord sweeps out a cone as the bob rotates.) The bob has a mass of 0.040 kg, the string has length L=0.90 m and negligible mass, and the bob follows a circular path of circumference 0.94 m. What are (a) the tension in the string and (b) the period of the motion?