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Chapter 6: Q.23 (page 155)
The earth is from the sun. The earth’s mass is , while the mass of the sun is . What is earth’s acceleration toward the sun?
The earth acceleration towards sun is
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The position of a 2.0 kg mass is given by x = 12t 3 - 3t 2 2 m, where t is in seconds. What is the net horizontal force on the mass at
(a) t = 0 s and
(b) t = 1 s?
You and your friend Peter are putting new shingles on a roof pitched at 25°. You’re sitting on the very top of the roof when Peter, who is at the edge of the roof directly below you, 5.0 m away, asks you for the box of nails. Rather than carry the 2.5 kg box of nails down to Peter, you decide to give the box a push and have it slide down to him. If the coefficient of kinetic friction between the box and the roof is 0.55, with what speed should you push the box to have it gently come to rest right at the edge of the roof?
Large objects have inertia and tend to keep moving-Newton's BI0 first law. Life is very different for small microorganisms that swim through water. For them, drag forces are so large that they instantly stop, without coasting, if they cease their swimming motion. To swim at constant speed, they must exert a constant propulsion force by rotating corkscrew-like flagella or beating hair-like cilia. The quadratic model of drag of Equation fails for very small particles. Instead, a small object moving in liquid experiences a linear drag force, , the direction opposite the motion), where is a constant. For a sphere of radius , the drag constant can be shown to be , where is the viscosity of the liquid. Water at has viscosity .
a. A paramecium is about long. If it's modeled as a sphere, how much propulsion force must it exert to swim at a typical speed of ? How about the propulsion force of a --diameter . coli bacterium swimming at ?
b. The propulsion forces are very small, but so are the organisms. To judge whether the propulsion force is large or small relative to the organism, compute the acceleration that the propulsion force could give each organism if there were no drag. The density of both organisms is the same as that of water, .
A rubber-wheeled cart rolls down a concrete incline. What is the cart’s acceleration if rolling friction is
(a) neglected and
(b) included?
FIGURE EXshows the velocity graph of a kg passenger in an elevator. What is the passenger’s weight
a. At s?
b. At s?
c. At s?
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