A particle moves in the xy plane in a circle centered on the origin. At a certain instant the velocity and acceleration of the particle are 7j m/s and (-3.0i - 2.0 j) m/s'. What are the x and y coordinates (x.y) of the particle at this moment (in m)? O a. (2.3, 0) O b. (16.3, 0) O c. (1.7, 0) O d. (8.3, 0)

A particle moves in the xy plane in a circle centered on the origin. At a certain instant the velocity and acceleration of the particle are 7j m/s and (-3.0i - 2.0 j) m/s'. What are the x and y coordinates (x.y) of the particle at this moment (in m)? O a. (2.3, 0) O b. (16.3, 0) O c. (1.7, 0) O d. (8.3, 0)

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter4: Two-and-three Dimensional Motion

Section: Chapter Questions

Problem 9PQ

See similar textbooks

Similar questions

A 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 P7.15
NASA’s Cassini mission to Saturn released aprobe on December 25, 2004, that landed on the Saturnian moonTitan on January 14, 2005. The probe, which was named Huygens,was released with a gentle relative speed of 31 cm>s. As Huygensmoved away from the main spacecraft, it rotated at a rate of sevenrevolutions per minute. (a) How many revolutions had Huygenscompleted when it was 150 yards from the mother ship? (b) Howfar did Huygens move away from the mother ship during each revolution? Give your answer in feet
You drive down the road at 31 m>s (70 mi>h) in a car whosetires have a radius of 34 cm. (a) What is the period of rotation ofthe tires? (b) Through what angle does a tire rotate in one second?
Our Sun is 2.3 * 104 ly (light-years) from the center of our Milky Way galaxy and is moving in a circle around that center at a speed of 250 km/s. (a) How long does it take the Sun to make one revolution about the galactic center? (b) How many revolutions has the Sun completed since it was formed about 4.5 *109 years ago?
The earth has a radius of 6380 km and turns around once on its axis in 24 h. (a) What is the radial acceleration of an object at the earth’s equator? Give your answer in and as a fraction of g. (b) If at the equator is greater than g, objects will fly off the earth’s surface and into space. What would the period of the earth’s rotation have to be for this to occur?
A particle moves on the xy plane in a circle centered at the origin. At some point the particle speed and acceleration are 6.0i m/s and (3.0i + 4.0j) m/s2 respectively. What are the x and y coordinates of the particle at this time?
A rotating fan completes 1160 revolutions every minute. Consider the tip of a blade, at a radius of 18.0 cm. (a) Through what distance does the tip move in one revolution? What are (b) the tip's speed and (c) the magnitude of its acceleration? (d) What is the period of the motion?
A race car is traveling on a circular track with a radius of 100m at a constant speed of 55m/s.(a) What is the race car’s period, T?(b) What is the race car’s angular frequency, ω?(c) What is the race car’s centripetal acceleration, Ac?
A particle travels in a circular orbit of radius r = 127.9 meters. Where it's speed is changing at a rate of at=11.8 at an instant when it's speed is at v = 33.6 m/s. What is the expression for the magnitude a of the total acceleration of the particle in terms of the variables from the problem statement? a = ?
A rotating fan completes 1200 revolutions every minute. Consider the tip of a blade, at a radius of 0.15 m. (a) Through what distance does the tip move in one revolution? What are (b) the tip’s speed and (c) the magnitude of its acceleration? (d) What is the period of the motion?
A particle is in uniform circular motion about the origin of an xy coordinate system, moving clockwise with a period of 7.00 s. At one instant, its position vector (measured from the origin) is r: = (2.00 m)iˆ - (3.00 m). At that instant, what is its velocity in unit-vector notation?
A particle is in uniform circular motion about a horizontal circle of radius R = 5 meters with a center at (0,0). The particle's initial position at t = 0 is point A, (5,0). The particle moves along the circle to point B through an angle of 1 radian. What distance was traveled along the circular arc AB?