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Chapter 6: Q.12 (page 153)
A hand presses down on the book in FIGURE Q6.12. Is the normal force of the table on the book larger than, smaller than, or equal to mg?
The book's usual force is more than.
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The piston of a machine exerts a constant force on a ball as it moves horizontally through a distance of . You use a motion detector to measure the speed of five different balls as they come off the piston; the data are shown in the table. Use theory to find two quantities that, when graphed, should give a straight line. Then use the graph to find the size of the piston鈥檚 force.
Very small objects, such as dust particles, experience a linear drag force,(bv, direction opposite the motion), where is a constant. That is, the quadratic model of drag of Equation fails for very small particles. For a sphere of radius , the drag constant can be shown to be , where is the viscosity of the gas.
a. Find an expression for the terminal speedof a spherical particle of radius and mass falling through a gas of viscosity .
b. Suppose a gust of wind has carrieda -diameter dust particle to a height of . If the wind suddenly stops, how long will it take the dust particle to settle back to the ground? Dust has a density ofrole="math" localid="1647776411884" the viscosity ofair is , and you can assume that the falling dust particle reaches terminal speed almost instantly.
Sam, whose mass is kg, takes off across level snow on his jet-powered skis. The skis have a thrust of N and a coefficient of kinetic friction on snow of . Unfortunately, the skis run out of fuel after only s.
a. What is Sam鈥檚 top speed?
b. How far has Sam traveled when he finally coasts to a stop?
Compressed air is used to fire a 50 g ball vertically upward from a 1.0 m-tall tube. The air exerts an upward force of 2N on the ball as long as it is in the tube. How high does the ball go above the top of the tube?
a. A rocket of mass is launched straight up with thrust . Find an expression for the rocket鈥檚 speed at height if air resistance is neglected.
b. The motor of a g model rocket generates N thrust. If air resistance can be neglected, what will be the rocket鈥檚 speed as it reaches a height of m?
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