Chapter 6 – part C. Power. Exercise 6.36.
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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?
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.
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
(b) Determine the amount of work done by this force in moving the particle from x = A to x = 0.
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 , (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.