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Chapter 7: 2P (page 170)
If a Saturn V rocket with an Apollo spacecraft attached had a combined mass of and reached a speed of , how much kinetic energy would it then have?
The kinetic energy of a Saturn V rocket with an attached Apollo spacecraft is .
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A constant force of magnitude 10 N makes an angle of (measured counterclockwise) with the positive x direction as it acts on a 2.0 kg object moving in an xy plane. How much work is done on the object by the force as the object moves from the origin to the point having position vector ?
A 1.5 kg block is initially at rest on a horizontal frictionless surface when a horizontal force along an x axis is applied to the block. The force is given by , where x is in meters and the initial position of the block is x=0. (a) What is the kinetic energy of the block as it passes through x=2.0 m? (b) What is the maximum kinetic energy of the block between x=0 and x=2.0 m?
A can of bolts and nuts is pushed 2.00 m along an x axis by a broom along the greasy (frictionless) floor of a car repair shop in a version of shuffleboard. Figure 7-26 gives the work Wdone on the can by the constant horizontal force from the broom, versus the can鈥檚 position x. The scale of the figure鈥檚 vertical axis is set by WS=6 J. (a) What is the magnitude of that force? (b) If the can had an initial kinetic energy of 3.00 J, moving in the positive direction of the x axis, what is its kinetic energy at the end of the 2.00 m?
Figure 7-40 gives the acceleration of a 2.00 kg particle as an applied force moves it from rest along an x axis from. The scale of the figure鈥檚 vertical axis is set by. How much work has the force done on the particle when the particle reaches (a) x=4.0 m, (b) x=7.0 m, and (c) x=9.0 m? What is the particle鈥檚 speed and direction of travel when it reaches (d) x=4.0 m, (e) x=7.0 m, and (f) x=9.0 m ?
A 0.30 kgladle sliding on a horizontal frictionless surface is attached to one end of a horizontal spring whose other end is fixed. The ladle has a kinetic energy of 10 J as it passes through its equilibrium position (the point at which the spring force is zero). (a) At what rate is the spring doing work on the ladle as the ladle passes through its equilibrium position? (b) At what rate is the spring doing work on the ladle when the spring is compressed 0.10 mand the ladle is moving away from the equilibrium position?
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