Vectors: Using the head-to-tail method of addition, find the resultant of the vectors 2 m/s2 [0degrees] and 6?

Question

1.) The sum of two or more vectors is called

-the magnitude.

-a scalar.

-the resultant.

- the zero vector.

2.) Using the head-to-tail method of addition, find the resultant of the vectors 2 m/s2 [0degrees] and 6 m/s2 [130degrees].

~8 m/s2 [100degrees]

~8 m/s2 [111degrees]

~5 m/s2 [111degrees]

~5 m/s2 [60degrees]

3.) A ship travels 3 km on a bearing of 105degrees. It then changes direction and travels 3.5 km on a bearing of 320degrees. How far, and with what bearing, must the ship travel to return directly to its starting point?

~ 2 km [200degrees]

~4 km [105degrees]

~2 km [105degrees]

~4 km [200degrees]

4.) An object with a weight of 500 N is suspended by two ropes. The

force exerted by one rope is 300 N, directed to the left at an angle of

60degrees above the horizontal. What force must be exerted by the other

rope to keep the object from moving?

~400 N at 57degrees to the horizontal

~400 N at 107degrees to the horizontal

~290 N at 57degrees to the horizontal

~290 N at 177degrees to the horizontal

5.) A plane travelling due south at a speed of 300 km/h encounters a wind with a velocity of 50 km/h toward the east. Determine the resultant velocity of the plane.

~350 km/h [130degrees]

~275 km/h [80degrees]

~310 km/h [10degrees]

sheen · Accepted Answer

1) The sum of two or more vectors is called the resultant.

2) 5 m/s^2 [111 degrees]

3) 2 km [200 degrees].

4) 290 N at 57 degrees to the horizontal

5) The answer is 310 km/h [10 degrees]. Note that the answer is relative to the original course of the plane. The angle disposition is counted 10 degrees counter clockwise.

dottie · Answer

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Vectors: Using the head-to-tail method of addition, find the resultant of the vectors 2 m/s2 [0degrees] and 6?

2 Answers