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Chapter 6: Q44P (page 143)
During an Olympic bobsled run, the Jamaican team makes a turn of radius at a speed of . What is their acceleration in terms of?
The acceleration in terms of g is.
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In Fig. 6-59, block 1 of massand block 2 of massare connected by a string of negligible mass. Block 2 is pushed by force of magnitude 20 Nand angle. The coefficient of kinetic friction between each block and the horizontal surface is 0.20. What is the tension in the string?
What is the terminal speed of a 6.00 kgspherical ball that has a radius of 30 cmand a drag coefficient of 1.60? The density of the air through which the ball falls is.
In Fig. 6-39, a car is driven at constant speed over a circular hill and then into a circular valley with the same radius. At the top of the hill, the normal force on the driver from the car seat is 0. The driver’s mass is .What is the magnitude of the normal force on the driver from the seat when the car passes through the bottom of the valley?
Engineering a highway curve.If a car goes through a curve too fast, the car tends to slide out of the curve. For a banked curve with friction, a frictional force acts on a fast car to oppose the tendency to slide out of the curve; the force is directed down the bank (in the direction water would drain). Consider a circular curve of radius R 200 mand bank angle u, where the coefficient of static friction between tires and pavement is. A car (without negative lift) is driven around the curve as shown in Fig. 6-11. (a) Find an expression for the car speed that puts the car on the verge of sliding out.
(b) On the same graph, plot versus angle u for the range , first for(dry pavement) and then for(wet or icy pavement). In kilometers per hour, evaluatefor a bank angle ofand for
(c)and
(d). (Now you can see why accidents occur in highway curves when icy conditions are not obvious to drivers, who tend to drive at normal speeds.)
In Fig. 6-61 a fastidious worker pushes directly along the handle of a mop with a force. The handle is at an anglewith the vertical, andandare the coefficients of static and kinetic friction between the head of the mop and the floor. Ignore the mass of the handle and assume that all the mop’s mass mis in its head. (a) If the mop head moves along the floor with a constant velocity, then what is F? (b) Show that if.is less than a certain value, then(still directed along the handle) is unable to move the mop head. Find.
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