EBK PHYSICS FOR SCIENTISTS AND ENGINEER
9th Edition
ISBN: 8220100454899
Author: Jewett
Publisher: Cengage Learning US
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Chapter 6, Problem 6.50AP
A basin surrounding a drain has the shape of a circular cone opening upward, having everywhere an angle of 35.0° with the horizontal. A 25.0-g ice cube is set sliding around the cone without friction in a horizontal circle of radius R. (a) Find the speed the ice cube must have as a function of R. (b) Is any piece of data unnecessary for the solution? Suppose R is made two times larger. (c) Will the required speed increase, decrease, or stay constant? If it changes, by what factor? (d) Will the time interval required for each revolution increase, decrease, or stay constant? If it changes, by what factor? (e) Do the answers to parts (c) and (d) seem contradictory ? Explain.
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Useful equations
For Constant Velocity:
V =>
D
X = V₁t + Xo
For Constant Acceleration:
Vr = V + at
X = Xo+Vot +
v=V+2a(X-Xo)
\prom = V +V
V velocity
t = time
D Distance
X = Final Position
Xo Initial Position
V = Final Velocity
Vo Initial Velocity
a = acceleration
For free fall
Yf
= Final Position
Yo Initial Position
g = 9.80
m
$2
For free fall:
V = V + gt
Y=Yo+Vo t +
+gt
V,² = V₁²+2g (Y-Yo)
V+Vo
Vprom=
2
6
Solve the problems
Chapter 6 Solutions
EBK PHYSICS FOR SCIENTISTS AND ENGINEER
Ch. 6 - You are riding on a Ferris wheel that is rotating...Ch. 6 - A bead slides at constant speed along a curved...Ch. 6 - Consider the passenger in the car making a left...Ch. 6 - A basketball and a 2-inch-diameter steel ball,...Ch. 6 - A child is practicing for a BMX race. His speed...Ch. 6 - Consider a skydive r who has stepped from a...Ch. 6 - A door in a hospital has a pneumatic closer that...Ch. 6 - A pendulum consists of a small object called a bob...Ch. 6 - As a raindrop falls through the atmosphere, its...Ch. 6 - An office door is given a sharp push and swings...
Ch. 6 - Before takeoff on an airplane, an inquisitive...Ch. 6 - What forces cause (a) an automobile, (b) a...Ch. 6 - A falling skydiver reaches terminal speed with her...Ch. 6 - An object executes circular motion with constant...Ch. 6 - Describe the path of a moving body in the event...Ch. 6 - The observer in the accelerating elevator of...Ch. 6 - Prob. 6.6CQCh. 6 - It has been suggested dial rotating cylinders...Ch. 6 - Consider a small raindrop and a large raindrop...Ch. 6 - Why does a pilot lend to black out when pulling...Ch. 6 - Prob. 6.10CQCh. 6 - If the current position and velocity of every...Ch. 6 - A light string can support a stationary hanging...Ch. 6 - Whenever two Apollo astronauts were on the surface...Ch. 6 - In the Bohr model of the hydrogen atom, an...Ch. 6 - A curve in a road forms part of a horizontal...Ch. 6 - In a cyclotron (one type of particle accelerator),...Ch. 6 - A car initially traveling eastward turns north by...Ch. 6 - A space station, in the form of a wheel 120 m in...Ch. 6 - Consider a conical pendulum (Fig. P6.8) with a bob...Ch. 6 - A coin placed 30.0 cm from the center of a...Ch. 6 - Why is the following situation impossible? The...Ch. 6 - A crate of eggs is located in the middle of the...Ch. 6 - A pail of water is rotated in a vertical circle of...Ch. 6 - A hawk flies in a horizontal arc of radius 12.0 m...Ch. 6 - A 40.0-kg child swings in a swing supported by two...Ch. 6 - A child of mass m swings in a swing supported by...Ch. 6 - A roller-coaster car (Fig. P6.16) has a mass of...Ch. 6 - A roller coaster at the Six Flags Great America...Ch. 6 - One end of a cord is fixed and a small 0.500-kg...Ch. 6 - Prob. 6.19PCh. 6 - An object of mass m = 5.00 kg, attached to a...Ch. 6 - All object of mass m = 500 kg is suspended from...Ch. 6 - A child lying on her back experiences 55.0 N...Ch. 6 - A person stands on a scale in an elevator. As the...Ch. 6 - Review. A student, along with her backpack on the...Ch. 6 - A small container of water is placed on a...Ch. 6 - Review. (a) Estimate the terminal speed of a...Ch. 6 - The mass of a sports car is 1 200 kg. The shape of...Ch. 6 - A skydiver of mass 80.0 kg jumps from a...Ch. 6 - Calculate the force required to pull a copper ball...Ch. 6 - A small piece of Styrofoam packing material is...Ch. 6 - Prob. 6.31PCh. 6 - Prob. 6.32PCh. 6 - Assume the resistive force acting on a speed...Ch. 6 - Review. A window washer pulls a rubber squeegee...Ch. 6 - A motorboat cuts its engine when its speed is 10.0...Ch. 6 - You can feel a force of air drag on your hand if...Ch. 6 - A car travels clockwise at constant speed around a...Ch. 6 - The mass of a roller-coaster car, including its...Ch. 6 - A string under a tension of 50.0 N is used to...Ch. 6 - Disturbed by speeding cars outside his workplace,...Ch. 6 - A car of mass m passes over a hump in a road that...Ch. 6 - A childs toy consists of a small wedge that has an...Ch. 6 - A seaplane of total mass m lands on a lake with...Ch. 6 - An object of mass m1 = 4.00 kg is tied to an...Ch. 6 - A ball of mass m = 0.275 kg swings in a vertical...Ch. 6 - Why is the following situation impossible? A...Ch. 6 - (a) A luggage carousel at an airport has the form...Ch. 6 - In a home laundry dryer, a cylindrical tub...Ch. 6 - Prob. 6.49APCh. 6 - A basin surrounding a drain has the shape of a...Ch. 6 - A truck is moving with constant acceleration a up...Ch. 6 - The pilot of an airplane executes a loop-the-loop...Ch. 6 - Review. While learning to drive, you arc in a 1...Ch. 6 - A puck of mass m1 is tied to a string and allowed...Ch. 6 - Because the Earth rotates about its axis, a point...Ch. 6 - Galileo thought about whether acceleration should...Ch. 6 - Figure P6.57 shows a photo of a swing a ride at an...Ch. 6 - Review. A piece of putty is initially located at...Ch. 6 - An amusement park ride consists of a large...Ch. 6 - Members of a skydiving club were given the...Ch. 6 - A car rounds a banked curve as discussed in...Ch. 6 - In Example 6.5, we investigated the forces a child...Ch. 6 - A model airplane of mass 0.750 kg flies with a...Ch. 6 - A student builds and calibrates an accelerometer...Ch. 6 - A 9.00-kg object starting from rest falls through...Ch. 6 - For t 0, an object of mass m experiences no force...Ch. 6 - A golfer tees off from a location precisely at i =...Ch. 6 - A single bead can slide with negligible friction...Ch. 6 - Prob. 6.69CPCh. 6 - Because of the Earths rotation, a plumb bob does...
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