NB rA= 90m TB = 85m 70% 65° At the instant, car A is travelling at speeds of 15 m/s and car B travels at the speed of 10 m/s. It is noted that both cars A and B are travelling with constant speed through the circular path. By using vector method: a) Find the velocity vector for car A and car B. b) Determine the magnitude and direction of the velocity of car B relative to car A. c) Find the acceleration vector for car A and car B d) Find the magnitude and direction of the acceleration of car A relative to B.

NB rA= 90m TB = 85m 70% 65° At the instant, car A is travelling at speeds of 15 m/s and car B travels at the speed of 10 m/s. It is noted that both cars A and B are travelling with constant speed through the circular path. By using vector method: a) Find the velocity vector for car A and car B. b) Determine the magnitude and direction of the velocity of car B relative to car A. c) Find the acceleration vector for car A and car B d) Find the magnitude and direction of the acceleration of car A relative to B.

Name: Br= 90mTB 85m65°70%At the instant, car A is travelling at speeds of 1
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Description: Br= 90mTB 85m65°70%At the instant, car A is travelling at speeds of 15 m/s and car B travels at the speed of 10 m/s. It is noted that both cars A and B aretravelling with constant speed through the circular path. By using vector method:a) Find the v

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter3: Motion In Two Dimensions

Section: Chapter Questions

Problem 31P: Figure P3.31 represents the total acceleration of a particle moving clockwise in a circle of radius...

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Which of the following correctly describes the centripetal acceleration vector for a particle moving in a circular path? (a) constant and always perpendicular to the velocity vector for the particle (b) constant and always parallel to the velocity vector for the particle (c) of constant magnitude and always perpendicular to the velocity vector for the particle (d) of constant magnitude and always parallel to the velocity vector for the particle
Two birds begin next to each other and then fly through the air at the same elevation above level ground at 22.5 m/s. One flies northeast, and the other flies northwest. After flying for 10.5 s, what is the distance between them? Ignore the curvature of the Earth.
A golfer tees off from a location precisely at i = 35.0 north latitude. He hits the ball due south, with range 285 m. The balls initial velocity is at 48.0 above the horizontal. Suppose air resistance is negligible for the golf ball. (a) For how long is the ball in flight? The cup is due south of the golfers location, and the golfer would have a hole-in-one if the Earth were not rotating. The Earths rotation makes the tee move in a circle of radius RE cos i = (6.37 106 m) cos 35.0 as shown in Figure P6.47. The tee completes one revolution each day. (b) Find the eastward speed of the tee relative to the stars. The hole is also moving cast, but it is 285 m farther south and thus at a slightly lower latitude f. Because the hole moves in a slightly larger circle, its speed must he greater than that of the tee. (c) By how much does the holes speed exceed that of the tee? During the time interval the ball is in flight, it moves upward and downward as well as southward with the projectile motion you studied in Chapter 4, but it also moves eastward with the speed you found in part (b). The hole moves to the east at a faster speed, however, pulling ahead of the ball with the relative speed you found in part (c). (d) How far to the west of the hole does the ball land? Figure P6.47
Peter throws a baseball through a houses window. He stands 3.4 m from the window. The ball starts in his hand 1.1m above the ground and goes through the window at a point 2.4 m off the ground. a. Sketch the problem, including an xy coordinate system with the origin on the ground directly below the initial position of the ball, the y axis pointing upward, and the x axis pointing toward the house. b. What are the initial and final coordinates of the ball?
A commuter airplane starts from ar. airport and takes the route shown in Figure P3.19. The plane first flies to city A, located 175 km away in a direction 30.0 north of east. Next, it flies for 150 km 20.0 west of north, to city B. Finally, the plane flies 190 km due west, to city C. Find the location of city C relative to the location of the starling point. Figure P3.19
Figure P3.31 represents the total acceleration of a particle moving clockwise in a circle of radius 2.50 m at a certain instant of time. For that instant, find (a) the radial acceleration of the particle, (b) the speed of the particle, and (c) its tangential acceleration.
The earth has a radius of 6380 km and turns around once on its axis in 24h. a) What is the radial acceleration of an object on the ground at the earth’s equator? Give your answer in units of m/s and compare your result with the gravitational acceleration g. b) What is the radial acceleration of an object on the ground at the earth’s geographic North pole?
For an object moving in a uniform circular motion, the direction of the instantaneous acceleration vector is:A) tangent to the path of motionB) directed radially inwardC) directed radially outwardD) equal to zero
An object rolls off a tabletop with a horizontal velocity v0x = 18 m/s. The table is at a height y0 = 0.75 m, above the floor. Use a coordinate system with its origin on the floor directly beneath the point where the object rolls off the table, its horizontal x-axis lying directly beneath the object’s trajectory, and its vertical y-axis pointing up. What is the vertical component of velocity, in meters per second, when the object hits the ground?
Olympus Mons on Mars is the largest volcano in the solar system, at a height of 25 km and with a radius of 312 km. If you are standing on the summit, with what initial velocity (in m/s) would you have to fire a projectile from a cannon horizontally to clear the volcano and land on the surface of Mars? Note that Mars has an acceleration of gravity of 3.7 m/s2. (Assume the volcano is radially symmetric and the summit is at its center. Enter the magnitude.)
The Ferris wheel in the figure, which rotates counterclockwise, is just starting up. At a given instant, a passenger on the rim of the wheel and passing through the lowest point of his circular motion is moving at 3.00 m/sm/s and is gaining speed at a rate of 0.500 m/s2m/s2. 1.Find the magnitude of the passenger's acceleration at this instant in m/s^2 2.Find the direction of the passenger's acceleration at this instant. θ=___∘ to the right of vertical
A woman rides a carnival Ferris wheel at radius 15 m, completing five turns about its horizontal axis every minute.What are (a) the period of the motion, the (b) magnitude and (c) direction of her centripetal acceleration at the highest point, and the (d) magnitude and (e) direction of her centripetal acceleration at the lowest point?