Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)
4th Edition
ISBN: 9780133942651
Author: Randall D. Knight (Professor Emeritus)
Publisher: PEARSON
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Chapter 8, Problem 44EAP
A charged particle of mass m moving with speed v in a plane perpendicular to a magnetic field experiences a force
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Please answer both the questions.
Consider the velocity field, V = (x² + y² − 4)i + (xy — y)j, where x and y are in m and V is in m/s. What is the magnitude of the y-component of the acceleration, ay in m/s², at point (2,1) in the velocity field?
Consider the velocity field, V = (x − 2y)i — (2x + y)j. What is the value of the velocity potential function at the point (2,3)?
A particle travels along a helical path with arc length given as (cos2t, sin2t, √5 t), where t ∈ [0,4π] Find:
a. The velocity of the particle.
b. What is the distance traveled by the particle?
The figure below shows a particle initially at point A traveling in the +x-direction. It turns in a circular path at constant speed until it is traveling in the +y-direction at point C. The quarter-circle arc
from A to C is 207 m in length, and the particle moves from A to C in 35.0 s. Point B on the path is 35.0° below the x-axis.
0
A
35.0⁰
C
B
x
(a) What is the speed of the particle (in m/s)?
m/s
(b) What is the magnitude and direction of the acceleration when the particle is at point B? (Enter the magnitude in m/s2 and the direction in degrees counterclockwise from the +x-axis.)
magnitude
m/s²
direction
° counterclockwise from the +x-axis
Chapter 8 Solutions
Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)
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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- Often, we model the Moon as a particle in a circular orbit around the Earth. The same side of the Moon always faces the Earth. Sketch the Moon in its orbit. Explain in what way the particle model is insufficient.arrow_forwardA car initially traveling eastward turns north by traveling in a circular path at uniform speed as shown in Figure P7.15. The length of the arc ABC is 235 m, and the car completes the turn in 36.0 s. (a) Determine the cars speed. (b) What is the magnitude and direction of the acceleration when the car is at point B? Figure P7.15arrow_forwardA proton in a synchrotron is moving in a circle of radius 1 km and increasing its speed by v(t) = c1 + c2 t2, where c1 = 2.0 × 105 m/s, c2 = 105 m/s3. (a) What is the proton’s total acceleration at t = 5.0 s? (b) At what time does the expression for the velocity become unphysical?arrow_forward
- 5. A particle travels in a circle of radius 12 m at a constant speed of 21 m/s. What is the magnitude of the acceleration? 6. The velocity of a particle in reference frame A is (4.0 î+ 5.0ĵ) m/s. The velocity of reference frame A with respect to reference frame B is 6.0 k m/s, and the velocity of reference frame B with respect to C is 2.0 j m/s. What is the velocity of the particle in reference frame C?arrow_forwardA car initially traveling eastward turns north by traveling in a circular path at uniform speed as in the figure below. The length of the arc ABC is 236 m, and the car completes the turn in 35.0 s. 35.0° В (a) What is the acceleration when the car is at B located at an angle of 35.0°? Express your answer in terms of the unit vectors î and î m/s? î + m/s? j (b) Determine the car's average speed. m/s (c) Determine its average acceleratiorr during the 35.0-s interval. m/s² î m/s² î +arrow_forwardat an instant in time a particles velocity is v = (2.00i + 1.00j) m/s, while it’s acceleration is a = -1.00i m/s^2. at what rate is the particle speeding up / slowing down and what’s the radius of the curve on the particles trajectoryarrow_forward
- The figure below shows an object initially at point A traveling in the +x-direction. It turns in a circular path at constant speed until it is traveling in the +y-direction at point C. The quarter-circle arc from A to C is 239 m in length, and the particle moves from A to C in 33.0 s. Point B on the path is 35.0° below the x-axis. O 35.0⁰ magnitude direction C B x (a) What is the speed of the object (in m/s)? m/s (b) What is the magnitude and direction of the acceleration when the object is at point B? (Enter the magnitude in m/s² and the direction in degrees counterclockwise from the +x-axis.) m/s² ° counterclockwise from the +x-axisarrow_forwardI need help with problem 2 please.arrow_forwardYou have been asked to determine if a proposed apparatus to implant ions in silicon to make better semiconductors will work. The apparatus slows down positive He ions that have a charge twice that of an electron (He++). It consists of a circular wire that is connected to a power supply so that it becomes a negatively charged circle. An ion with a velocity of 200 m/s on a trajectory perpendicular to the plane of the circle is shot out from the center of the circle. The wire circle has a radius of 3.0 cm and can have a charge up to 8.0 C. The sample into which the ion is to be implanted is to be placed 2.5 mm from the charged circle. You look up the charge of an electron and mass of the helium and find them to be 1.6 × 10-19 C and 6.7 x 10-27 kg. [Hint: You want the ion to come to rest just as it reaches the sample. Use the potential along the axis of a charged ring and conservation of energy.]arrow_forward
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