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Chapter 6 – part C Power Exercise 6.36 36. A skier of mass 70.0 kg is pulled up a slope by a motor-driven cable. (a) How much work is required to pull the skier a distance of 60.0 m up a 30.0° slope (assumed frictionless) at a constant speed of 2.00 m/s? (b) A motor of what power is required to perform this task? Exercise 6.55 55. The ball launcher in a classic pinball machine has a spring that has a force constant of 1.20 N/cm. The surface on which the ball moves is inclined 10.0° with respect to the horizontal. The spring is initially compressed 5.00 cm. Find the launching speed of a 100-g ball when the plunger is released. Friction and the mass of the plunger are negligible. Exercise 6.52 52. A particle is attached between two identical springs on a horizontal frictionless table. Both springs have spring constant k and are initially unstressed. (a) The particle is pulled a distance x along a direction perpendicular to the initial configuration of the springs. Show that the force exerted by the springs on the particle is ˆ (b) Determine the amount L i F 2 kx 1 x L of work done by this force in moving the particle from x = A to x = 0. 2 2 Review problem. A particle of mass 0.500 kg is shot from P as shown in Figure P7.6. The particle has an initial velocity with a horizontal component of 30.0 m/s. The particle rises to a maximum height of 20.0 m above P. Determine (a) the vertical component of v i, (b) the work done by the gravitational force on the particle during its motion from P to B, and (c) the horizontal and the vertical components of the velocity vector when the particle reaches B.