FUND.OF PHYSICS
11th Edition
ISBN: 9781119306887
Author: Halliday
Publisher: WILEY
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Chapter 11, Problem 34P
A particle is to move in an xy plane, clockwise around the origin as seen from the positive side of the z axis. In unit-vector notation, what torque acts on the particle if the magnitude of its
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1)
Consider two positively charged particles, one of charge q0 (particle 0) fixed at the origin, and another of charge q1 (particle 1) fixed on the y-axis at (0,d1,0). What is the net force F→ on particle 0 due to particle 1?
Express your answer (a vector) using any or all of k, q0, q1, d1, i^, j^, and k^.
2)
Now add a third, negatively charged, particle, whose charge is −q2− (particle 2). Particle 2 fixed on the y-axis at position (0,d2,0). What is the new net force on particle 0, from particle 1 and particle 2?
Express your answer (a vector) using any or all of k, q0, q1, q2, d1, d2, i^, j^, and k^.
3)
Particle 0 experiences a repulsion from particle 1 and an attraction toward particle 2. For certain values of d1 and d2, the repulsion and attraction should balance each other, resulting in no net force. For what ratio d1/d2 is there no net force on particle 0?
Express your answer in terms of any or all of the following variables: k, q0, q1, q2.
A 85 turn, 10.0 cm diameter coil rotates at an angular velocity of 8.00 rad/s in a 1.35 T field, starting with the normal of the plane of the coil perpendicular to the field. Assume that the positive max emf is reached first.
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A bobsled starts at the top of a track as human runners sprint from rest and then jump into the sled. Assume they reach 40 km/h from rest after covering a distance of 50 m over flat ice. a. How much work do they do on themselves and the sled which they are pushing given the fact that there are two men of combined mass 185 kg and the sled with a mass of 200 kg? (If you haven't seen bobsledding, watch youtube to understand better what's going on.) b. After this start, the team races down the track and descends vertically by 200 m. At the finish line the sled crosses with a speed of 55 m/s. How much energy was lost to drag and friction along the way down after the men were in the sled?
Chapter 11 Solutions
FUND.OF PHYSICS
Ch. 11 - Figure 11-23 shows three particles of the same...Ch. 11 - Figure 11-24 shows two particles A and B at xyz...Ch. 11 - Prob. 3QCh. 11 - The position vector r of a particle relative to a...Ch. 11 - In Fig. 11-26, three forces of the same magnitude...Ch. 11 - The angular momenta t of a particle in four...Ch. 11 - A rhinoceros beetle rides the rim of a horizontal...Ch. 11 - Figure 11-27 shows an overhead view of a...Ch. 11 - Figure 11-38 gives the angular momentum magnitude...Ch. 11 - Figure 11-29 shows a particle moving at constant...
Ch. 11 - A cannonball and a marble roll smoothly from rest...Ch. 11 - Prob. 12QCh. 11 - A car travels at 80 km/h on a level road in the...Ch. 11 - An automobile traveling at 80.0 km/h has tires of...Ch. 11 - Prob. 3PCh. 11 - A uniform solid sphere rolls down an incline. a...Ch. 11 - ILW A 1000 kg car has four 10 kg wheels. When the...Ch. 11 - Figure 11-30 gives the speed v versus time t for a...Ch. 11 - ILW In Fig. 11-31, a solid cylinder of radius 10cm...Ch. 11 - Figure 11-32 shows the potential energy Ux of a...Ch. 11 - GO In Fig. 11-33, a solid ball rolls smoothly from...Ch. 11 - A hollow sphere of radius 0.15 m, with rotational...Ch. 11 - In Fig. 11-34, a constant horizontal force Fapp of...Ch. 11 - GO In Fig. 11-35, a solid brass ball of mass 0.280...Ch. 11 - GO Nonuniform ball. In Fig. 11-36, a ball of mass...Ch. 11 - In Fig. 11-37, a small, solid, uniform ball is to...Ch. 11 - GO A bowler throws a bowling ball of radius R = 11...Ch. 11 - GO Nonuniform cylindrical object. In Fig. 11-39, a...Ch. 11 - SSM A yo-yo has a rotational inertia of 950 gcm2...Ch. 11 - Prob. 18PCh. 11 - In unit-vector notation, what is the net torque...Ch. 11 - A plum is located at coordinates 2.0 m, 0, 4.0 m....Ch. 11 - In unit-vector notation, what is the torque about...Ch. 11 - A particle moves through an xyz coordinate system...Ch. 11 - Force F=(2.0N)i(3.0N)k acts on a pebble with...Ch. 11 - In unit-vector notation, what is the torque about...Ch. 11 - SSM Force F=(8.0N)i+(6.0N)j acts on a particle...Ch. 11 - At the instant of Fig. 11-40, a 2.0 kg particle P...Ch. 11 - SSM At one instant, force F=4.0N acts on a 0.25 kg...Ch. 11 - A 2.0 kg particle-like object moves in a plant...Ch. 11 - ILW In the instant of Fig, 11-41, two particles...Ch. 11 - At the instant the displacement of a 2.00 kg...Ch. 11 - In Fig. 11-42, a 0.400 kg ball is shot directly...Ch. 11 - A particle is acted on by two torques about the...Ch. 11 - Prob. 33PCh. 11 - A particle is to move in an xy plane, clockwise...Ch. 11 - Prob. 35PCh. 11 - Prob. 36PCh. 11 - GO In Fig. 11-44, three particles of mass m = 23 g...Ch. 11 - A sanding disk with rotational inertia 1.2 103...Ch. 11 - SSM The angular momentum of a flywheel having a...Ch. 11 - A disk with a rotational inertia of 7.00 kgm2...Ch. 11 - GO Figure 11-45 shows a rigid structure consisting...Ch. 11 - Figure 11-46 gives the torque that acts on an...Ch. 11 - Prob. 43PCh. 11 - A Texas cockroach of mass 0.17 kg runs...Ch. 11 - SSM WWW A man stands on a platform that is...Ch. 11 - The rotational inertia of a collapsing spinning...Ch. 11 - SSM A track is mounted on a large wheel that is...Ch. 11 - A Texas cockroach walks from the center of a...Ch. 11 - Two disks are mounted like a merry-go-round on...Ch. 11 - The rotor of an electric motor has rotational...Ch. 11 - SSM ILW A wheel is rotating freely at angular...Ch. 11 - GO A cockroach of mass m lies on the rim of a...Ch. 11 - GO In Fig. 11-50 an overhead view, a uniform thin...Ch. 11 - GO Figure 11-51 shows an overhead view of a ring...Ch. 11 - A horizontal vinyl record of mass 0.10 kg and...Ch. 11 - In a long jump, an athlete leaves the ground with...Ch. 11 - A uniform disk of mass 10m and radius 3.0r can...Ch. 11 - A horizontal platform in the shape of a circular...Ch. 11 - Figure 11-52 is an overhead view of a thin uniform...Ch. 11 - In Fig. 11-53, a 1.0 g bullet is tired into a 0.50...Ch. 11 - The uniform rod length 0.60 m, mass 1.0 kg in Fig....Ch. 11 - GO During a jump to his partner, an aerialist is...Ch. 11 - GO In Fig. 11-56, a 30 kg child stands on the edge...Ch. 11 - A ballerina begins a tour jet Fig. 11-19a with...Ch. 11 - SSM WWW Two 2.00 kg balls are attached to the ends...Ch. 11 - Prob. 66PCh. 11 - Prob. 67PCh. 11 - Prob. 68PCh. 11 - A certain gyroscope consists of a uniform disk...Ch. 11 - A uniform solid ball rolls smoothly along a floor,...Ch. 11 - SSM In Fig. 11-60, a constant horizontal force...Ch. 11 - A thin-walled pipe rolls along the floor. What is...Ch. 11 - Prob. 73PCh. 11 - Prob. 74PCh. 11 - Prob. 75PCh. 11 - A uniform block of granite in the shape of a book...Ch. 11 - SSM Two particles, each of mass 2.90 104 kg and...Ch. 11 - A wheel of radius 0.250 m, moving initially al...Ch. 11 - Wheels A and B in Fig. 11-61 are connected by a...Ch. 11 - Prob. 80PCh. 11 - SSM A uniform wheel of mass 10.0 kg and radius...Ch. 11 - A uniform rod rotates in a horizontal plane about...Ch. 11 - A solid sphere of weight 36.0 N rolls up an...Ch. 11 - Suppose that the yo-yo in Problem 17, instead of...Ch. 11 - A girl of mass M stands on the rim of a...Ch. 11 - Prob. 86P
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