College Physics: A Strategic Approach (3rd Edition)
3rd Edition
ISBN: 9780321879721
Author: Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher: PEARSON
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Chapter 6, Problem 63GP
To determine
The tension in two strings.
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. You are working during your summer break as an amusement park ride operator. The ride you are controlling consists of a large vertical cylinder that spins about its axis fast enough that any person inside is held up against the wall when the floor drops away (Fig. P6.7). The coefficient of static friction between a person of mass m and the wall is ms, and the radius of the cylinder is R. You are rotating the ride with an angular speed v suggested by your supervisor. (a) Suppose a very heavy person enters the ride. Do you need to increase the angular speed so that this person will not slide down the wall? (b) Suppose someone enters the ride wearing a very slip-pery satin workout outfit. In this case, do you need to increase the angular speed so that this person will not slide down the wall?
You are working during your summer break as an amusement park ride operator. The ride you are controlling consists of a large vertical cylinder that spins about its axis fast enough that any person inside is held up against the wall when the floor drops away (Fig. P6.7). The coefficient of static friction between a person of mass mand the wall is us, and the radius of the cylinder is R. You are rotating the ride with an angular speed w suggested by your supervisor. (a) Suppose a very heavy person enters the ride. Do you need to increase the angular speed so that this person will not slide down the wall? (b) Suppose someone enters the ride wearing a very slippery satin workout outfit. In this case, do you need to increase the angular speed so that this person will not slide down the wall?
At an amusement park there is a ride in which cylindrically shaped chambers spin around a central axis. People sit in seats facing the axis, their backs against the outer wall. At one instant the outer wall moves at a speed of 3.16 m/s, and an 85.3-kg person feels a 546-N force pressing against his back. What is the radius of a chamber?
Chapter 6 Solutions
College Physics: A Strategic Approach (3rd Edition)
Ch. 6 - A cyclist goes around a level, circular track at...Ch. 6 - In uniform circular motion, which of the following...Ch. 6 - A particle moving along a straight line can have...Ch. 6 - Would having four-wheel drive on a car make it...Ch. 6 - Large birds like pheasants often walk short...Ch. 6 - When you drive fast on the highway with muddy...Ch. 6 - A ball on a string moves in a vertical circle as...Ch. 6 - Give an everyday example of circular motion for...Ch. 6 - Give an everyday example of circular motion for...Ch. 6 - Its been proposed that future space stations...
Ch. 6 - A car coasts at a constant speed over a circular...Ch. 6 - In Figure Q6.11, at the instant shown, is the...Ch. 6 - Riding in the back of a pickup truck can be very...Ch. 6 - Playground swings move through an arc of a circle....Ch. 6 - Variation in your apparent weight is desirable...Ch. 6 - A small projectile is launched parallel to the...Ch. 6 - Why is it impossible for an astronaut inside an...Ch. 6 - If every object in the universe feels an...Ch. 6 - A mountain climbers weight is slightly less on the...Ch. 6 - Is the earths gravitational force on the sun...Ch. 6 - A ball on a string moves around a complete circle,...Ch. 6 - As seen from above, a car rounds the curved path...Ch. 6 - As we saw in the chapter, wings on race cars push...Ch. 6 - Suppose you and a friend, each of mass 60 kg, go...Ch. 6 - The cylindrical space station in Figure Q6.25, 200...Ch. 6 - Two cylindrical space stations, the second four...Ch. 6 - The radius of Jupiter is 11 times that of earth,...Ch. 6 - A newly discovered planet has twice the mass and...Ch. 6 - Suppose one night the radius of the earth doubled...Ch. 6 - Currently, the moon goes around the earth once...Ch. 6 - Two planets orbit a star. You can ignore the...Ch. 6 - A 5.0-m-diameter merry-go-round is turning with a...Ch. 6 - The blade on a table saw spins at 3450 rpm. Its...Ch. 6 - An old-fashioned LP record rotates at 3313rpm. a....Ch. 6 - A typical hard disk in a computer spins at 5400...Ch. 6 - A CD-ROM drive in a computer spins the...Ch. 6 - The horse on a carousel is 4.0 m from the central...Ch. 6 - The radius of the earths very nearly circular...Ch. 6 - Modern wind turbines are larger than they appear,...Ch. 6 - Your roommate is working on his bicycle and has...Ch. 6 - Wind turbines designed for offshore installations...Ch. 6 - To withstand g-forces of up to 10g, caused by...Ch. 6 - A typical running track is an oval with...Ch. 6 - Figure P6.13 is a birds-eye view of particles on a...Ch. 6 - In short-track speed skating, the track has...Ch. 6 - A 200 g block on a 50-cm-long string swings in a...Ch. 6 - A cyclist is rounding a 20-m-radius curve at 12...Ch. 6 - A 1500 kg car drives around a flat 200-m-diameter...Ch. 6 - A fast pitch softball player does a windmill...Ch. 6 - A baseball pitching machine works by rotating a...Ch. 6 - A wind turbine has 12,000 kg blades that are 38 m...Ch. 6 - Youre driving your pickup truck around a curve...Ch. 6 - You have seen dogs shake to shed water from their...Ch. 6 - Gibbons, small Asian apes, move by brachiation,...Ch. 6 - The passengers in a roller coaster car feel 50%...Ch. 6 - You hold a bucket in one hand. In the bucket is a...Ch. 6 - A roller coaster car is going over the top of a...Ch. 6 - As a roller coaster car crosses the top of a...Ch. 6 - An 80-ft-diameter Ferris wheel rotates once every...Ch. 6 - A typical laboratory centrifuge rotates at 4000...Ch. 6 - A satellite orbiting the moon very near the...Ch. 6 - Spacecraft have been sent to Mars in recent years....Ch. 6 - The centers of a 10 kg lead ball and a 100 g lead...Ch. 6 - The gravitational force of a star on an orbiting...Ch. 6 - The free-fall acceleration at the surface of...Ch. 6 - What is the ratio of the suns gravitational force...Ch. 6 - Suppose the free-fall acceleration at some...Ch. 6 - In recent years, astronomers have found planets...Ch. 6 - In recent years, astronomers have found planets...Ch. 6 - a. What is the gravitational force of the sun on...Ch. 6 - What is the value of g on the surface of Saturn?...Ch. 6 - What is the free-fall acceleration at the surface...Ch. 6 - Planet X orbits the star Omega with a year that is...Ch. 6 - Prob. 43PCh. 6 - The International Space Station is in a...Ch. 6 - The asteroid belt circles the sun between the...Ch. 6 - An earth satellite moves in a circular orbit at a...Ch. 6 - In recent years, scientists have discovered...Ch. 6 - In recent years, scientists have discovered...Ch. 6 - In recent years, scientists have discovered...Ch. 6 - How fast must a plane fly along the earths equator...Ch. 6 - The car in Figure P6.51 travels at a constant...Ch. 6 - In the Bohr model of the hydrogen atom, an...Ch. 6 - A 75 kg man weighs himself at the north pole and...Ch. 6 - A 1500 kg car takes a 50-m-radius unbanked curve...Ch. 6 - A 500 g ball swings in a vertical circle at the...Ch. 6 - A 5.0 g coin is placed 15 cm from the center of a...Ch. 6 - A conical pendulum is formed by attaching a 500 g...Ch. 6 - In an old-fashioned amusement park ride,...Ch. 6 - The 0.20 kg puck on the frictionless, horizontal...Ch. 6 - While at the county fair, you decide to ride the...Ch. 6 - A car drives over the top of a hill that has a...Ch. 6 - A 100 g ball on a 60-cm-long string is swung in a...Ch. 6 - Prob. 63GPCh. 6 - The ultracentrifuge is an important tool for...Ch. 6 - A sensitive gravimeter at a mountain observatory...Ch. 6 - Suppose we could shrink the earth without changing...Ch. 6 - Planet Z is 10,000 km in diameter. The free-fall...Ch. 6 - Prob. 68GPCh. 6 - Prob. 69GPCh. 6 - How long will it take a rock dropped from 2.0 m...Ch. 6 - A 20 kg sphere is at the origin and a 10 kg sphere...Ch. 6 - a. At what height above the earth is the free-fall...Ch. 6 - Mars has a small moon, Phobos, that orbits with a...Ch. 6 - You are the science officer on a visit to a...Ch. 6 - Europa, a satellite of Jupiter, is believed to...Ch. 6 - The direction of the net force on the craft is A....Ch. 6 - Suppose a spacecraft orbits the moon in a very...Ch. 6 - How much time does it take for the spacecraft to...Ch. 6 - The material that comprises the side of the moon...
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- A truck is moving with constant acceleration a up a hill that makes an angle ϕ with the horizontal as in Figure P6.51. A small sphere of mass m is suspended from the ceiling of the truck by a light cord. If the pendulum makes a constant angle theta with the perpendicular to the ceiling, what is a?arrow_forwardA 5.0 g coin is placed 15 cm from the center of a turntable. The coin has static and kinetic coefficients of friction with the turntable surface of μs = 0.80 and μk = 0.50. The turntable very slowly speeds up to 60 rpm. Does the coin slide off?arrow_forwardA 5.0 g coin is placed 15 cm from the center of a turntable. The coin has static and kinetic coefficients of friction with the turntable surface of μs=0.80 and μk=0.50. The turntable very slowly speeds up to 60 rpm.Does the coin slide off?arrow_forward
- #13arrow_forwardOn the International Space Station an object with mass m = 440 g is attached to a massless string of length L = 0.61 m. The string can handle a tension of T = 5.8 N before breaking. The object undergoes uniform circular motion, being spun around by the string horizontally.What is the maximum speed v the mass can have before the string breaks? Give your answer in units of m/s.arrow_forwardWhy is the following situation impossible? The object of mass m = 4.00 kg in Figure P5.18 is attached to a vertical rod by two strings of length = 2.00 m. The strings are attached to the rod at points a distance d = 3.00 m apart. The object rotates in a horizontal circle at a constant speed of v = 3.00 m/s, and the strings remain taut. The rod rotates along with the object so that the strings do not wrap on to the rod. What If? Could this situation be possible on another planet?arrow_forward
- Instead of moving back and forth, a conical pendulum moves in a circle at constant speed as its string traces out a cone (Fig. P6.68). One such pendulum is constructed with a string of length L = 12.0cm and bob of mass 0.210 kg. The string makes an angle = 7.00 with the vertical, a. What is the radial acceleration of the bob? b. What are the horizontal and vertical components of the tension force exerted by the string on the bob?arrow_forwardAn object of mass m1 = 4.00 kg is tied to an object of mass m2 = 3.00 kg with String 1 of length ( = 0.500 m. The combination is swung in a vertical circular path on a second string, String 2, of length = 0.500 m. During the motion, the two strings are collinear at all times as shown in Figure P6.30. At the top of its motion, m2 is traveling at v = 4.00 m/s. (a) What is the tension in String 1 at this instant? (b) What is the tension in String 2 at this instant? (c) Which string will break first if the combination is rotated faster and faster? Figure P6.30arrow_forwardIn 1956, Frank Lloyd Wright proposed the construction of a mile-high building in Chicago. Suppose the building had been constructed. Ignoring Earth's rotation, find the change in your weight if you were to ride an elevator from the street level, where you weigh 746 N, to the top of the building. Number 0.3802 Units N.arrow_forward
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