Chapter 8: 12 CQ (page 211)
What shape would the graph of versus have if a particle were in a region of neutral equilibrium?
The shape of the Uversus X graph will be a straight line parallel to the X axis.
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In Chapter 7, the work–kinetic energy theorem, W=DK, was introduced. This equation states that work done on a system appears as a change in kinetic energy. It is a special-case equation, valid if there are no changes in any other type of energy such as potential or internal. Give two or three examples in which work is done on a system but the change in energy of the system is not a change in kinetic energy.
A boy in a wheelchair (total mass ) has speed at the crest of a slope high and long. At the bottom of the slope his speed is . Assume air resistance and rolling resistance can be modeled as a constant friction force of . Find the work he did in pushing forward on his wheels during the downhill ride.
A daredevil plans to bungee jump from a balloon 65.0 m above the ground. He will use a uniform elastic cord, tied to a harness around his body, to stop his fall at a point 10.0 m above the ground. Model his body as a particle and the cord as having negligible mass and obeying Hooke’s law. In a preliminary test he finds that when hanging at rest from a 5.00-m length of the cord, his body weight stretches it by 1.50 m. He will drop from rest at the point where the top end of a longer section of the cord is attached to the stationary balloon. (a) What length of cord should he use? (b) What maximum acceleration will he experience?
Two objects are connected by a light string passing over a light, frictionless pulley as shown in Figure P8.7. The object of mass is released from rest at h height above the table. Using the isolated system model,(a) determine the speed of m2 just as m1 hits the table and (b) find the maximum height above the table to which m2 rises.
Review: A uniform board of length L is sliding along a smooth, frictionless, horizontal plane as shown in Figure P8.79a. The board then slides across the boundary with a rough horizontal surface. The coefficient of kinetic friction between the board and the second surface is. (a) Find the acceleration of the board at the moment its front end has traveled a distance x beyond the boundary. (b) The board stops at the moment its back end reaches the boundary as shown in Figure P8.79b. Find the initial speed v of the board
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