HIM S.L. VH ". One end is pansun put m position. The whereupon 10) Use the w object of mass .is with posit 184M (9) AP PHYSICS C: ENERGY THAN AP PHYSICS C: In AND AROUND THE LAKE FORCES COME OUT OF THE SKY AND THEY STAND THERE 1. The position of a student along a hallway (hereafter referred to as the x-axis) is given as a function of time as x = 213 - 4t + 6, where x is in meters and t is in seconds. (a) Determine the velocity of the student as a function of time. (b) Determine the acceleration of the student as a function of time. (c) Determine the velocity at t = 2 s. 2. The position of an object as a function of time is given by x = At2 + Bt - C, where A = 5 m/s?, B = 3 m/s, and C = 2 m. Find the velocity as a function of time and the acceleration as a function of time. 3. A 120 g bagel is whirled in a horizontal circle on the end of a 70 cm string. The bagel makes one complete revolution every 1.4 s. What angle does the string make with the vertical? (Be sure to convert all your units...) A block is sliding through a frictionless loop-the loop. See the picture below. Marvel at the picture. The block is moving sufficiently fast that it never loses contact with the track. For each point along the track (A, B, C, and D) indicate which of the numbered diagrams below is the appropriate free body diagram. C B 5 . A 0.25 kg doll at the end of a 0.90 m long string is whirled in a horizontal circle. The string makes an angle of 250 with the horizontal. (a) Determine the speed of the doll. (b) What is the tension in the string? 6. A small object of mass mi moves in a circular path of radius r on a frictionless tabletop. It is attached to a string that passes through a small frictionless hole in the center of the table. A second object of mass ma hangs from the other end of the string. Derive an expression for r in terms of mi, m2, and the period T of one revolution. 7. There exists a conical pendulum; we shall call it Zippy. The string of Zippy is 0.60 m long, and the mass of the bob is 0.40 kg. The tension in the string is six times the weight of the bob. (a) What angle does the string make with the 8. vertical? (b) What is the period of Zippy? A 100 g coin sits on a turntable which rotates once every 1.2 s. The coin is located 8 cm from the axis of rotation. (a) Determine the friction force acting on the coin. (b) The coin slides off when it is placed more than 14 cm from the center; what is the coefficient of static friction between the coin and the turntable?12. From whence the title? 11. an expression for the period T of the block. friction between the car and the pavement? r. In terms of r, 0, and other fundamental constants: (a) derive an expression for the speed v of the block, and (b) derive A block of mass m slides around the inside of a frictionless cone as shown below. The block slides in a circle of radius the normal force on the car? (b) What is the friction force on the car? (c) What is the minimum coefficient of static A 750 kg car zooms without slipping at 40 m/s around a curve of radius 160 m banked at an angle of 10. (a) What is 6 rotating wire. Find 0. 12 cm that rotates about a vertical axis once every 0.50 s, as shown below. The bead remains stationary relative to the (EXTRA CREDIT) A small bead with a mass of 80 g slides without friction along a semicircular wire with a radius r = CALL ME THE WORKING THAT'S WHAT IAM it k. One end is attached to the Local and unstretched. You gently ual position. Then you repeat the 16, whereupon it falls a distance -.. (b) Use the work-kinetic energy . object of mass m = 4 kg is at rest aries with position along the x axis (b) What is the final speed of the You're at a well and you're the bucket is 3 kg and . at a constant spe Bummer. ( the w6 To derive in expression for 9 in terms of m.. me and the time Period T The contripetal farce eyequired to keep the object moving in the circular Path of Madive of with Delocity o T = mul we can also write { circumference of cigyou log Path The gravitational force I = *acting on Picend obicel ( mr ) we Fg - meg 91 the tension T - miv + mag M = miv + ameg polving Further we get - menly ? JTmi _ MITE unt 45 2 4 71 2