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Chapter 6: Q57P (page 144)
A puck of mass slides in a circle of radiuson a frictionless table while attached to a hanging cylinder of massby means of a cord that extends through a hole in the table (Fig. 6-43). What speed keeps the cylinder at rest?
The speed that keeps the cylinder at rest is .
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A sling-thrower puts a stone (0.250 kg). In the slings pouch (0.010 kg)and then begins to make the stone and pouch move in a vertical circle of radius 0.650 m. The cord between the pouch and the person’s hand has negligible mass and will break when the tension in the cord is 33.0 Nmore. Suppose the sling thrower could gradually increase the speed of the stone. (a) Will the breaking occur at the lowest point of the circle or at the highest point? (b) At what speed of the stone will that breaking occur?
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. 6-27, a box of Cheerios and a box of Wheatiesare accelerated across a horizontal surface by a horizontal force applied to the Cheerios box. The magnitude of the frictional force on the Cheerios box is , and the magnitude of the frictional force on the Wheaties box is . If the magnitude of is , what is the magnitude of the force on the Wheaties box from the Cheerios box?
In Fig. 6-15, a horizontal force of 100Nis to be applied to a 10kg slab that is initially stationary on a frictionless floor, to accelerate the slab. A 10kg block lies on top of the slab; the coefficient of friction between the block and the slab is not known, and the block might slip. In fact, the contact between the block and the slab might even be frictionless. (a) Considering that possibility, what is the possible range of values for the magnitude of the slab’s accelerationlocalid="1657173176346" ? (Hint:You don’t need written calculations; just consider extreme values for m.) (b) What is the possible range for the magnitudelocalid="1657173167508" of the block’s acceleration?
Continuation of Problem 8. Now assume that Eq. 6-14 gives the magnitude of the air drag force on the typical stone, which presents to the wind a vertical cross-sectional area ofand has a drag coefficient C of. (a) In kilometers per hour, what wind speedalong the ground is needed to maintain the stone’s motion once it has started moving? Because winds along the ground are retarded by the ground, the wind speeds reported for storms are often measured at a height of. Assume wind speeds are times those along the ground. (b) For your answer to (a), what wind speed would be reported for the storm? (c) Is that value reasonable for a high-speed wind in a storm?
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