A piano mover raises a 100 kg piano at a constant rate using a frictionless pulley system, as shown in Figure 5.3. With roughly what force is the mover pulling down on the rope? Figure $.3 Force . ? A 500 N B 250 N C 1000 N D 2000 N E Depends on the velocity!A child standing on a bridge throws a rock straight down. The rock leaves the child's hand at t = 0. Which of the graphs shown here best represents the velocity of the stone as a function of time? t t A rabbit trying to escape a fox runs north for 4.0 m, darts northwest for 8.0 m, then drops 1.0 m down a hole into its burrow. What is the magnitude of the n et displacement of the rabbit? {A} 13 m {B} 11m {9} 3.9 m (ti) 31 m \fBlock A of mass 4 kg and block X are attached to a rope which passes over a pulley. A 40 N force is applied horizontally to block A, keeping it in contact with a rough vertical face. The coefficients of static and kinetic friction are us 2 0.40 and uk 2 0.30. The pulley is light and frictionless. In Figure 5.19, the mass of bl ock X is set at 9.5 kg. The system is at rest. The friction force, including direction, on the 5 kg block is closest to: Fig-mire {A} 27 N, downward '1:B_:1'27 N, upward l:C_:1-54 N, upward {D} 54 N, downward .I- _- \\. E zero A projectile is fired from the origin (at y = 0 m) as shown in Figure 3.1. The initial velocity components are VOx = 650 m/s and VOy = 43 m/s. The projectile re aches maximum height at point P, then it falls and strikes the ground at point Q. In Figure 3.1, the y-component of the acceleration of the shell at point P is c losest to: Figure 3.1 A +5 m/s2 B zero C) -5 m/52 D + 10 m/s E -10 m/sA projectile is fired at time t = 0.05, from point 0 at the edge of a cliff, with initial velocity components of V0): 2 80 m/s and uoy = 800 m/s. The projectile rise 5. then falls into the sea at point P. The time of flight of the projectile is 200.0 s. in Figure 3.2c, the height H of the cliff is closest to: hymn: (94::- 36,000 m (:3) 32,130 m (c 43,650 m {ti} 47,490 m {E} 39,310 m A roadway is designed for trafc moving at a speed of 66 m/s. A curved section of the roadway is a circular arc of 290 m radius. The roadway is bankedso t hat a vehicle can go around the curvewith the lateral friction forces equal to zero. The angle at which the roadway is banked is closest to: {953- 53 {B 57\" (c) 59 {ii} 55" {E} 51 Three blocks, connecting ropes, and a light frictionless pulley comprise a system, as shown. An external force P is applied downward on blockA The system accelerates at the rate of 2.5 m/sz. The tension in the rope connecting block B and block C equals 60 N. In Figure 5.14, the tension in the rope connecting block A and block B is closest to: 'B' 300M '5 240m D 320N Bumpers on cars are not of much use in a collision. To see why. calculate the average force a bumper would have to exert if it brought a 1200 kg car (a socalled "compact" model) to a rest in 15 cm when the car had an initial speed of 2 m/s (a bout 4.5 mph). Bumpers are built with springs which compress to provide a stopping force without (hopefully) denting the metal. (3::- 3.2 x 10M N z \\ 13,:- 1.8 x10A4 N :_c 5.4 x 10M N \\ (D;- 1.6 X10A4 N E 6.5 x 10A5 N The following conversion equivalents are given: 1 gal = 231 in 1 ft = 12 in 1 min = 60 s A pipe delivers water at the rate of 95 gal/min. The rate in ft /s, is closest to: A 0.14 B 0.19 C) 0.15 D 0.17 E ) 0.21A projectile is fired from the origin (at y = 0 m) as shown in Figure 3.1. The initial velocity components are VOX = 490 m/s and VOy = 35 m/s. The projectile re aches maximum height at point P, then it falls and strikes the ground at point Q. In Figure 3.1, the ycomponent of the velocity of the shell of point P is close st to: Figure 3.1 A :z- +70 m/s {E} 70 m/s ":_C_:3 zero {ii} -40 m/s -: E +40 m/s The gravitational acceleration at the surface of planet X is 11.6 m/sz, and the radius of the planet is 66,500 km. The altitude above the surface of planet X at w hich the weight of a body is equal to that on the surface of the earth, in km. is closest to: {It} 7000 -I:_B 8,200 {d 5.800 {ii} 9.400 {E 11,000 A child is sitting on the outer edge of a merry-go-round that is 18 m in diameter. If the merry-go-round makes 8.3 rev/min, what is the velocity of the child i n m/s? A 7.8 m/s B 1.2 m/s C 15.6 m/s D 5.5 m/s