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Chapter 6: Q.17 (page 155)
A woman has a mass of 55 kg.
a. What is her weight while standing on earth?
b. What are her mass and her weight on Mars, where g = 3.76 m/s2 ?
a.
b.
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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.
Five balls move through the air as shown in FIGURE Q6.17 All five have the same size and shape. Air resistance is not negligible. Rank in order, from largest to smallest, the magnitudes of the accelerations aa to ae. Some may be equal. Give your answer in the form and explain your ranking.
FIGURE Q6.17
A block pushed along the floor with velocity slides a distance d after the pushing force is removed.
a. If the mass of the block is doubled but its initial velocity is not changed, what distance does the block slide before stopping?
b. If the initial velocity is doubled to but the mass is not changed, what distance does the block slide before stopping?
Zach, whose mass is 80 kg, is in an elevator descending at 10 m/s. The elevator takes 3.0 s to brake to a stop at the first floor.
a. What is Zach鈥檚 weight before the elevator starts braking?
b. What is Zach鈥檚 weight while the elevator is braking?
FIGURE EXshows the force acting on a object as it moves along the x-axis. The object is at rest at the origin atWhat are its acceleration and velocity at ?
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