Mastering Physics: Quiz 3

The sum of two vectors of fixed magnitudes has the greatest magnitude when the angle between these two vectors is

0°

The figure shows three vectors and their magnitudes and relative directions. The magnitude of the resultant of the three vectors is closest to

13

If a vector A has components Ax < 0, and Ay < 0, then the angle that this vector makes with the positive x-axis must be in the range

180° to 270°

Vector A has a magnitude of 7.0 m and points 30° east of north. Vector B has a magnitude of 5.0 m and points 30° west of south. The resultant vector A +B is given by

2.0 m at an angle 60° north of east.

Three vectors, S , T , and U have the components shown in the table. What is the magnitude of the resultant of these three vectors? x component y component S 3.50 m -4.50 m T 2.00 m 0.00 m U -5.50 m 2.50 m

2.00 m

If a vector A has components Ax > 0, and Ay < 0, then the angle that this vector makes with the positive x-axis must be in the range

270° to 360°

A car travels 20 km west and then 20 km south. What is the magnitude of its displacement vector?

28 km

Vector A has a magnitude of 6.0 m and points 30° north of east. Vector B has a magnitude of 4.0 m and points 30° west of south. The resultant vector A +B is given by

3.2 m at an angle of 8.3° south of east.

The x component of vector A is 5.3 units, and its y component is -2.3 units. The angle that vector A makes with the +x-axis is closest to

340°

The figure shows four vectors, A , B , C , and D . Vectors A and B both have a magnitude of 7.0 cm, and vectors C and D both have a magnitude of 4.0 cm. Find the magnitude of the sum of these four vectors.

4.2 cm

When Jeff ran up a hill at 7.0 m/s, the horizontal component of his velocity vector was 5.1 m/s. What was the vertical component of Jeff's velocity?

4.8 m/s

A velocity vector has components 36 m/s westward and 22 m/s northward. What are the magnitude and direction of this vector?

42 m/s at 31∘ north of west

Vector M = 4.00 m points eastward and vector N = 3.00 m points southward. The resultant vector M + N is given by

5.00 m at an angle of 36.9° south of east

Vector A has a magnitude of 8.0 m and points east, vector B has a magnitude of 6.0 m and points north, and vector C has a magnitude of 5.0 m and points west. The resultant vector A + B +C is given by

6.7 m at an angle 63° north of east

An airplane undergoes the following displacements, all at the same altitude: First, it flies 59.0 km in a direction 30.0° east of north. Next, it flies 58.0 km due south. Finally, it flies 100 km 30.0° north of west. Use components to determine how far the airplane ends up from its starting point.

71.5 km

If a vector A has components Ax < 0, and Ay > 0, then the angle that this vector makes with the positive x-axis must be in the range

90° to 180°

The magnitude of A is 5.5 m, and this vector lies in the second quadrant and makes an angle of 34 ° with the +y-axis. The components of A are closest to:

A x = -3.1 m, A y = 4.6 m.

The magnitude of the resultant of two vectors cannot be less than the magnitude of either of those two vectors.

False

Three forces, F 1, F 2, and F 3, each of magnitude 70 N, all act on an object as shown in the figure. The magnitude of the resultant force acting on the object is

0 N.

Find the direction of the sum of these four vectors

along the +y-axis

A pilot drops a package from a plane flying horizontally at a constant speed. Neglecting air resistance, when the package hits the ground the horizontal location of the plane will

be directly over the package.

A student adds two displacement vectors that have the magnitudes of 12.0 m and 5.0 m. What is the range of possible answers for the magnitude of the resultant vector?

between 7.0 m and 17.0 m

A displacement vector is 34.0 m in length and is directed 60.0° east of north. Selecting from the choices in the table below, what are the components of this vector? Choice Northward Compo Eastern Compo. 1 29.4 m 17.0 m 2 18.2 m 28.1 m 3 22.4 m 11.5 m 4 17.0 m 29.4 m 5 25.2 m 18.2 m

choice 4

Two perpendicular vectors, A and B , are added together giving vector C . If the magnitudes of both vectors A and B are doubled without changing their directions, the magnitude of vector C will

increase by a factor of 2.

If A +B =C and their magnitudes are given by A + B = C, then the vectors A and B are oriented

parallel to each other (in the same direction).