PH. Ch 3

92 m
A string attached to an airborne kite is maintained at an angle of 40 degrees with the horizontal. If a total of 120 m of string is reeled in while bringing the kite back to the ground, what is the magnitude of the horizontal displacement of the kite in the process? (assume the kite string doesnt sag)
95 N, 55 N
Jack pulls a sled acreoss a level field by exerting a force of 110 N at an angle of 30 degrees with the ground. What are the parallel and perpendicular components, respectively, of this force with respect to the ground?
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2.1
Vector A is 3.0 units in length and points along the positive x-axis; vector B is 4.0 units in length and points along a direction 150 degrees from the positive x-axis. What is the magnitude of the resultant when vectors A and B are added?
103 degrees
Vector A is 3.0 units in length and points along the positive x-axis; vector B is 4.0 units in length and points along a direction of 150 degrees from the positive x-axis. When vectors A and B are added, what is the direction of the resultant with respect to the positive x-axis?
71 degrees
I walk six miles in a straight in a straight line in a direction of north of east, and I end up two miles east and several miles north. How many degrees north of east have I walked?
24.1 N
Five boys are pushing on a snowball, and each is pushing with a force of 10.0 N. However, each boy is pushing in a different direction. The are pushing north, northeast, east, southeast, and south. ( Each boy is pushing at an angle of 45 degrees relative to his neighbor.) What is the magnitude of the total force on the ball?
120 m, 188 m
A jogger runs halfway around a circular path with a radius of 60 m. What, respectively, are the magnitude of the displacement and the distance jogged?
.25 m/s^2, south
A runner circles a track of radius 100 m in 100 s moving at a constant rate. If the runner was initially moving north, what has been the runner’s avg acceleration when halfway around the track?
76.4 m
John throws a baseball from the outfield from shoulder height, at an initial velocity of 29.4 m/s at an initial angle of 30 degrees with respect to the horizontal. The ball is in its trajectory for a total interval of 3.00 s before the third baseball catches it an an equal shoulder height level. (assume air resistance negligible.) What is the ball’s horizontal displacement?
zero
A baseball thrown from the outfield is released from shoulder height at an initial velocity of 29.4 m/s at an initial angle of 30 degrees with respect to the horizontal. If it is in its trajectory for a total of 3.00 s before being caught by the third baseman at an equal shoulder-height leverl, what is the ball’s vertical displacement?
11.0 m
A baseball thrown from the outfield is released from shoulder height at an initial velocity of 29.4 m/s at an initial angle of 30 degrees with respect to the horizontal. What is the max vertial displacement that the ball reaches during its trajectory?
at the top of the trajectory
A baseball is thrown by the center fielder ( from shoulder level) to home plate where it is caught (on the fly at shoulder level) by the catcher. At what point is the ball’s speed at a min? (air resistance is negligible)
acceleration is constant during entire trajectory
A baseball is thrown by the center fielder ( from shoulder level) to home plate where it is caught (on the fly at shoulder level) by the catcher. At what point is the magnitude of the acceleration at a min? (air resistance is negligible)
at the top of its trajectory
A baseball is thrown by the center fielder ( from shoulder level) to home plate where it is caught (on the fly at shoulder level) by the catcher. At what point does the magnitude of the vertical component of velocity have its min value? (air resistance is negligible)
60 m/s
A helicopter is traveling at 40 m/s at a constant altitude of 100 m over a level field. If a wheel falls off the helicopter, with what speed will it hit the ground? (g= 9.8 m/s^2 and air resistance negligible)
A ball is rolled horizontally off a table with an initial speed of .24 m/s. A stopwatch measures the ball’s trajectory time from table to the floor to be .30 s. What is the height of the table? (g= 9.8 m/s^2 and air resistance is negligible)
0.072 m
A ball is rolled horizontally off a table with an initial speed of .24 m/s. A stop watch measures the ball’s trajectory time from table tot he floor to be .30 s. How far awaay from the table does the ball land? (g= 9.8 m/s^2 and air resistance is negligible)
a. 58 m
b. 154 m
c. 120 m
d. 197 m
A stone is thrown at an angle of 30 degrees above the horizontal from the top of edge of a cliff with an initial speed of 12 m/s. A stop watch measures the stone’s trajectory time from top of cliff to bottome to be 5.6 s. What is the height of the cliff? (g= 9.8 m/s^2 and air resistance is negligible)
a. 58 m
b. 154 m
c. 120 m
d. 197 m
A stone is thrown at an angle of 30 degrees above the horizontal fromt he top edge of a cliff with an initial speed of 12 m/s. A stop watch measures the stone’s trajectory time from top of cliff to bottom to be 5.6 s. How far out from the cliff’s edge does the stone travel horizontally? (g= 9.8 m/s^2 and air resistance is negligible)
vector
Which type of quantity is characterized by both magnitude and direction?
velocity
Which of the following is an example of a vector quantity?
another velocity
When we subtract a velocity vector from another velocity vector, the result is:
another displacement
When we add a displacement vector to another displacement vector, the result is:
200
A student adds two vectors with magnitudes of 200 and 40. Which one of the following is the only possible choice for the magnitude of the resultant?
south of east
Vector A points north and vector B points east. if vector= vector B – vector A, then vector C points:
2m
The first displacement is 6 m and the second is 3 m. They cannot add together to give a total of displacement of:
some valur from 1m to 7m
Vector A is 3 m long and vector B is 4m long. The length of the sum of the vecotrs must be:
180 degrees.
When three vectors are added graphically and forma a closed triangle, the largest enclosed angle between any two of the vectors cannot be greater than:
occurs one-half of the way around the track.
A runner circles a track of radius 100 m one time in 100 s at a constant rate. The greatest change is his velocity from his starting velocity:
second
An object, initially moving in the negative x-direction, is subected to a change in velocity in the positive y-direction. If the resulting velocity vector is drawn from the origin, into which quadrant does the vector point?
north of west
A car is initially moving at 20 m/s east and a little while later it is moving at 10 m/s north. Which of the following best describes the orientation of the avg acceleration during this time interval
a. north
b. west
c. northwest
d. none
A hiker walks 200 m west and then walks 100 m north. In what direction is her resulting displacement?
11 m/s
An object moves at a constant velocity of 11 m/s to the southwest for an interval of 20 s. Halfway through this interval, what is the magnitude of its instantaneous velocity?
cosine
In a 2-dimensional Cartesian coordinate system the x-component of a given vector is equal to that vector’s magnitude multiplied by which trigonometric function, with respect to the angle between vector and x-axis?
cosine
In a 2-dimensional Cartesian coordinate system the y-component of a given vector is equal to that vector’s magnitude multiplied by which trigonometric function, with respect to the angle between vector and y-axis?
dividing by cosine
In a 2 dimensional Cartesian coordinate system, the x-component of a vector is known, and the angle between vector and x-axis is known. Which operation is used to calculate the magnitude of the vector? (taken with respect to the x-component)
8.6 blocks
A taxicab moves five blockes due north, five blocks due east, and another two blocks due. Assume all blocks are of equal size. What is the magnitude of the taxi’s displacement, start to finish?
61.4 N 21.8 degrees
The following force vectors act on an object: i) 50.0 N at 45 degrees north of east and ii)25.0 N at 30 degrees south of east. Which of the following represents the magnitude of the resultant and its angle relative to the easterly direction?
62 units 54 degrees north of west
Find the resultant of the following two vectors: i) 50 units due east and ii)100 units 30 degrees north of west
29 cm
Arvin the Ant is on a picnic table. He travels 30 cm eastward, then 25 cm northward, and finally 15 cm westward. What is the magnitude of Arvin’s net displacement?
59 degrees N of E
Arvin the Ant is on a picnic table. He travels 30 cm eastward, then 25 cm northward, and finally 15 cm westward. What is Arvin’s direction of displacement with respect to his original position?
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