PHYS 212 FOR SCI+ENG W/MAST PHYS >ICP<
1st Edition
ISBN: 9781323834831
Author: Knight
Publisher: PEARSON C
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Chapter 8, Problem 11EAP
It is proposed that future space stations create an artificial gravity by rotating. Suppose a space station is constructed as a 1000-m-diameter cylinder that rotates about its axis. The inside surface is the deck of the space station. What rotation period will provide "normal" gravity?
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Chapter 8 Solutions
PHYS 212 FOR SCI+ENG W/MAST PHYS >ICP<
Ch. 8 - In uniform circular motion, which of the following...Ch. 8 - A car runs out of gas while driving down a hill....Ch. 8 - FIGURE Q8.3 is a bird's-eye view of particles on...Ch. 8 - Tarzan swings through the jungle on a massless...Ch. 8 - FIGURE Q8.5 shows two balls of equal mass moving...Ch. 8 - Ramon and Sally are observing a toy car speed up...Ch. 8 - A jet plane is flying on a level course at...Ch. 8 - A small projectile is launched parallel to the...Ch. 8 - 9. You can swing a ball on a string in a vertical...Ch. 8 - A golfer starts with the club over her head and...
Ch. 8 - As a science fair project, you want to launch an...Ch. 8 - A 500 g model rocket is on a cart that is rolling...Ch. 8 - A 4.0 × 1010 kg asteroid is heading directly...Ch. 8 - A 55 kg astronaut who weighs 180 N on a distant...Ch. 8 - A 1500 kg car drives around a flat 200-m-diameter...Ch. 8 - A 1500 kg car takes a 50-m-radius unbanked curve...Ch. 8 - A 200 g block on a 50-cm-long string swings in a...Ch. 8 - In the Bohr model of the hydrogen atom, an...Ch. 8 - Suppose the moon were held in its orbit not by...Ch. 8 - 10. A highway curve of radius 500 m is designed...Ch. 8 - It is proposed that future space stations create...Ch. 8 - A 5.0 g coin is placed 15 cm from the center of a...Ch. 8 - Mass m1on the frictionless table of FIGURE EX8.13...Ch. 8 - A satellite orbiting the moon very near the...Ch. 8 - What is free-fall acceleration toward the sun at...Ch. 8 - 16. A 9.4 × 1021 kg moon orbits a distant planet...Ch. 8 - Communications satellites are placed in circular...Ch. 8 - A car drives over the top of a hill that has a...Ch. 8 - The weight of passengers on a roller coaster...Ch. 8 - A roller coaster car crosses the top of a circular...Ch. 8 - The normal force equals the magnitude of the...Ch. 8 - A student has 65-cm-long arms. What is the minimum...Ch. 8 - While at the county fair, you decide to ride the...Ch. 8 - A 500 g ball swings in a vertical circle at the...Ch. 8 - A 500 g ball moves in a vertical circle on a...Ch. 8 - A heavy ball with a weight of 100 N (m = 10.2 kg)...Ch. 8 - A toy train rolls around a horizontal...Ch. 8 - 28. A new car is tested on a 200-m-diameter track....Ch. 8 - An 85,000 kg stunt plane performs a loop-the-loop,...Ch. 8 - Three cars are driving at 25 m/s along the road...Ch. 8 - Derive Equations 8.3 for the acceleration of a...Ch. 8 - 32. A 100 g bead slides along a frictionless wire...Ch. 8 - 33. Space scientists have a large test chamber...Ch. 8 - 34. A 5000 kg interceptor rocket is launched at an...Ch. 8 - Prob. 35EAPCh. 8 - 36. A rocket- powered hockey puck has a thrust of...Ch. 8 - Prob. 37EAPCh. 8 - A 2.0 kg projectile with initial velocity m/s...Ch. 8 - A 75 kg man weighs himself at the north pole and...Ch. 8 - A concrete highway curve of radius 70 m banked at...Ch. 8 - a. an object of mass m swings in horizontal circle...Ch. 8 -
42. You’ve taken your neighbor’s young child to...Ch. 8 - A 4.4-cm-diameter, 24 g plastic ball is attached...Ch. 8 - A charged particle of mass m moving with speed v...Ch. 8 - Two wires are tied to the 2.0 kg sphere shown in...Ch. 8 - Two wires are tied to the 300 g sphere shown in...Ch. 8 - A conical pendulum is formed by attaching a ball...Ch. 8 - The 10 mg bead in FIGURE P8.48 is free to slide on...Ch. 8 - In an old-fashioned amusement park ride,...Ch. 8 - The ultracentrifuge is an important tool for...Ch. 8 - In an amusement park ride called The Roundup,...Ch. 8 - 52. Suppose you swing a ball of mass m in a...Ch. 8 - A 30 g ball rolls around a 40-cm-diameter L-shaped...Ch. 8 - FIGURE P8.54 shows a small block of mass m sliding...Ch. 8 - The physics of circular motion sets an upper limit...Ch. 8 - A 100 g ball on a 60-cm-long string is swung in a...Ch. 8 - A 60 g ball is tied to the end of a 50-cm-long...Ch. 8 - Elm Street has a pronounced dip at the bottom of a...Ch. 8 - 59. A 100 g ball on a 60-cm-long string is swung...Ch. 8 - Scientists design a new particle accelerator in...Ch. 8 - 61. A 1500 kg car starts from rest and drives...Ch. 8 - Prob. 62EAPCh. 8 - 63. A 2.0 kg ball swings in a vertical circle on...Ch. 8 - In Problems 64 and 65 you are given the equation...Ch. 8 - In Problems 64 and 65 you are given the equation...Ch. 8 - Sam (75 kg) takes off up a 50-m-high, 10°...Ch. 8 - In the absence of air resistance, a projectile...Ch. 8 - The father of Example 8.2 stands at the summit of...Ch. 8 - A small bead slides around a horizontal circle at...Ch. 8 - A 500 g steel block rotates on a steel table while...Ch. 8 - If a vertical cylinder of water (or any other...
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- Suppose the gravitational acceleration at the surface of a certain moon A of Jupiter is 2 m/s2. Moon B has twice the mass and twice the radius of moon A. What is the gravitational acceleration at its surface? Neglect the gravitational acceleration due to Jupiter, (a) 8 m/s2 (b) 4 m/s2 (c) 2 m/s2 (d) 1 m/s2 (e) 0.5 m/s2arrow_forwardModel the Moons orbit around the Earth as an ellipse with the Earth at one focus. The Moons farthest distance (apogee) from the center of the Earth is rA = 4.05 108 m, and its closest distance (perigee) is rP = 3.63 108 m. a. Calculate the semimajor axis of the Moons orbit. b. How far is the Earth from the center of the Moons elliptical orbit? c. Use a scale such as 1 cm 108 m to sketch the EarthMoon system at apogee and at perigee and the Moons orbit. (The semiminor axis of the Moons orbit is roughly b = 3.84 108 m.)arrow_forwardSpacecraft could create a type of artificial gravity by spinning fast enough to create a radial acceleration equal to 9.8 m/s2. If a giant space station with a mass of 2.8 x 1017 kg and a radius of 5.05 x 106 m wanted to create that type of artificial gravity, what angular velocity would be required? O 1.39 x 103 rad/s 7030 rad/s 4.95 x 107 rad/s O 1.94 x 10-6 rad/sarrow_forward
- A submarine of mass 200 kg is sent into a newly discovered "liquid" planet , i.e. the planet is a spherical mass of liquid with a mass M = 8.00 x1024 kg and a radius of R=1.17 x10' m. Assume that the liquid has uniform density throughout the planet. What is the gravitational force on the submarine when its distance from the center of the planet is r=0.4R (in Newtons)? G = 6.67 x 10-11 N. m2/kg²arrow_forwardIf a space station is 220 m in diameter, what angular velocity would produce an “artificial gravity” of 9.80 m/s2 at the rim? Give your answer in rad/s.arrow_forward16arrow_forward
- A rack of seven spherical bolwing balls (each 7.30 kg, radius of 9.30 cm) is positioned along a line located a distance d = 0.840 m from a point P, as shown in the figure. Calculate the gravitational force F the bowling balls exert on a ping-pong ball of mass 2.70 g, centered at point P. F = N 0000000arrow_forwardTwo uniform spheres are positioned as shown. Determine the gravitational force F which the titanium sphere exerts on the copper sphere. The value of R is 30 mm. Assume a = 5.0, b = 2.9, θ=30°. Calculate the mass of each sphere.arrow_forwardThe figure below shows a spherical hollow inside a lead sphere of radius R = 4.00 cm. The surface of the hollow passes through the center of the sphere and "touches" the right side of the sphere. The mass of the sphere before hollowing was M = 3.40 kg. With what gravitational force does the hollowed-out lead sphere attract a small sphere of mass m = 0.423 kg that lies at a distance d = 9.00 cm from the center of the lead sphere, on the straight line connecting the centers of the spheres and of the hollow?arrow_forward
- A space exploration program proposes to make artificial gravity on a space station that looks like a circular ring with a 500 m diameter by having the space station rotate. At what angular frequency would the space station have to rotate so that someone standing on a scale in the outer ring of the space station would have an apparent weight the same as they would on Earth?arrow_forward51. In Larry Niven's science-fiction novel Ringworld, a rigid ring of material rotates about a star (Fig. P13.51). The tangential speed of the ring is 1.25×10€ m/s, and its radius is 1.53×10" m. (a) Show that the centripetal acceleration of the inhabitants is 10.2 m/s?. (b) The inhabitants of this ring world live on the starlit inner surface of the ring. Each person experiences a normal contact force ñ. Acting alone, this normal force would produce an inward acceleration of 9.90 m/s2. Additionally, the star at the center of the ring exerts a gravitational force on the ring and its inhabitants. The difference between the total acceleration and the acceleration provided by the normal force is due to the gravitational attraction of the central star. Show that the mass of the star is approximately 1032 kg. Star F Figure P13.51arrow_forwardFuture space stations will create an artificial gravity by rotating. Consider a cylindrical space station 311 m diameter rotating about its central axis. Astronauts walk on the inside surface of the space station. What rotation period will provide "normal" gravity? (Give answer to the nearest 0.1 second)arrow_forward
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