Exam 3: Vectors in Physics

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A vector A vector   and an anti parallel vector   when added together give a resultant vector   that has a magnitude of 1.0 m. If vector   has a magnitude of 7.0 m, which of the following is a possible magnitude of vector   ? and an anti parallel vector A vector   and an anti parallel vector   when added together give a resultant vector   that has a magnitude of 1.0 m. If vector   has a magnitude of 7.0 m, which of the following is a possible magnitude of vector   ? when added together give a resultant vector A vector   and an anti parallel vector   when added together give a resultant vector   that has a magnitude of 1.0 m. If vector   has a magnitude of 7.0 m, which of the following is a possible magnitude of vector   ? that has a magnitude of 1.0 m. If vector A vector   and an anti parallel vector   when added together give a resultant vector   that has a magnitude of 1.0 m. If vector   has a magnitude of 7.0 m, which of the following is a possible magnitude of vector   ? has a magnitude of 7.0 m, which of the following is a possible magnitude of vector A vector   and an anti parallel vector   when added together give a resultant vector   that has a magnitude of 1.0 m. If vector   has a magnitude of 7.0 m, which of the following is a possible magnitude of vector   ? ?

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A vector A vector   has components A<sub>x</sub> = 12.0 m and A<sub>y</sub>= 5.00 m. What is the angle that vector   makes with the x-axis? has components Ax = 12.0 m and Ay= 5.00 m. What is the angle that vector A vector   has components A<sub>x</sub> = 12.0 m and A<sub>y</sub>= 5.00 m. What is the angle that vector   makes with the x-axis? makes with the x-axis?

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A swimmer heading directly across a river 200 m wide reaches the opposite bank in 6 min 40 s. She is swept downstream 480 m. What is the speed of the current?

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A car moves from a point located 26.0 m from the origin and at an angle of 35.0° from the x-axis to a point located 56.0 m from the origin and at an angle of 60.0° from the x-axis in 2.50 s. What is the magnitude of the average velocity of the car?

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

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The eastward component of vector The eastward component of vector   is equal to the westward component of vector   and their northward components are equal. Which one of the following statements is correct for these two vectors? is equal to the westward component of vector The eastward component of vector   is equal to the westward component of vector   and their northward components are equal. Which one of the following statements is correct for these two vectors? and their northward components are equal. Which one of the following statements is correct for these two vectors?

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Vectors Vectors   and   satisfy the equation   +   = 0. These vectors satisfy one of the following statements. and Vectors   and   satisfy the equation   +   = 0. These vectors satisfy one of the following statements. satisfy the equation Vectors   and   satisfy the equation   +   = 0. These vectors satisfy one of the following statements. + Vectors   and   satisfy the equation   +   = 0. These vectors satisfy one of the following statements. = 0. These vectors satisfy one of the following statements.

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Vector quantities are represented in terms of their magnitude and direction.

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Vector Vector   has a magnitude of 16.0 m and is pointing eastward. It is rotated counterclockwise by an angle of 110.0°. The component of this vector along west is has a magnitude of 16.0 m and is pointing eastward. It is rotated counterclockwise by an angle of 110.0°. The component of this vector along west is

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When vectors When vectors   and   are added together they form vector   and these vectors satisfy the relationship A<sup>2</sup> + B<sup>2</sup> = C<sup>2</sup>. Which statement is true for these vectors? and When vectors   and   are added together they form vector   and these vectors satisfy the relationship A<sup>2</sup> + B<sup>2</sup> = C<sup>2</sup>. Which statement is true for these vectors? are added together they form vector When vectors   and   are added together they form vector   and these vectors satisfy the relationship A<sup>2</sup> + B<sup>2</sup> = C<sup>2</sup>. Which statement is true for these vectors? and these vectors satisfy the relationship A2 + B2 = C2. Which statement is true for these vectors?

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FIGURE 3-2 FIGURE 3-2   -Refer to Figure 3-2. Vector   as expressed in terms of vectors   and   is given by -Refer to Figure 3-2. Vector FIGURE 3-2   -Refer to Figure 3-2. Vector   as expressed in terms of vectors   and   is given by as expressed in terms of vectors FIGURE 3-2   -Refer to Figure 3-2. Vector   as expressed in terms of vectors   and   is given by and FIGURE 3-2   -Refer to Figure 3-2. Vector   as expressed in terms of vectors   and   is given by is given by

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The components of vectors The components of vectors   and   are as follows:   = (1, -1) and   = (2, 4). The components of the resultant vector   +   are given by and The components of vectors   and   are as follows:   = (1, -1) and   = (2, 4). The components of the resultant vector   +   are given by are as follows: The components of vectors   and   are as follows:   = (1, -1) and   = (2, 4). The components of the resultant vector   +   are given by = (1, -1) and The components of vectors   and   are as follows:   = (1, -1) and   = (2, 4). The components of the resultant vector   +   are given by = (2, 4). The components of the resultant vector The components of vectors   and   are as follows:   = (1, -1) and   = (2, 4). The components of the resultant vector   +   are given by + The components of vectors   and   are as follows:   = (1, -1) and   = (2, 4). The components of the resultant vector   +   are given by are given by

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FIGURE 3-3 FIGURE 3-3   -Refer to Figure 3-3. Three forces   <sub>1</sub> =   <sub>2</sub>=   <sub>3</sub>= 70 N are acting on an object O as shown in the figure. Which one of the following statements is true regarding the resultant force acting over the object O? -Refer to Figure 3-3. Three forces FIGURE 3-3   -Refer to Figure 3-3. Three forces   <sub>1</sub> =   <sub>2</sub>=   <sub>3</sub>= 70 N are acting on an object O as shown in the figure. Which one of the following statements is true regarding the resultant force acting over the object O? 1 = FIGURE 3-3   -Refer to Figure 3-3. Three forces   <sub>1</sub> =   <sub>2</sub>=   <sub>3</sub>= 70 N are acting on an object O as shown in the figure. Which one of the following statements is true regarding the resultant force acting over the object O? 2= FIGURE 3-3   -Refer to Figure 3-3. Three forces   <sub>1</sub> =   <sub>2</sub>=   <sub>3</sub>= 70 N are acting on an object O as shown in the figure. Which one of the following statements is true regarding the resultant force acting over the object O? 3= 70 N are acting on an object O as shown in the figure. Which one of the following statements is true regarding the resultant force acting over the object O?

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If the acceleration vector of an object is directed anti-parallel to the velocity vector, then

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Vector Vector   = 6.0 m and points 30° east of north. Vector   = 4.0 m and points 30° west of south. The resultant vector   +   is given by = 6.0 m and points 30° east of north. Vector Vector   = 6.0 m and points 30° east of north. Vector   = 4.0 m and points 30° west of south. The resultant vector   +   is given by = 4.0 m and points 30° west of south. The resultant vector Vector   = 6.0 m and points 30° east of north. Vector   = 4.0 m and points 30° west of south. The resultant vector   +   is given by + Vector   = 6.0 m and points 30° east of north. Vector   = 4.0 m and points 30° west of south. The resultant vector   +   is given by is given by

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Vector Vector   = 6.0 m and points 30° north of east. Vector   = 4.0 m and points 30° west of north. The resultant vector   +   is given by = 6.0 m and points 30° north of east. Vector Vector   = 6.0 m and points 30° north of east. Vector   = 4.0 m and points 30° west of north. The resultant vector   +   is given by = 4.0 m and points 30° west of north. The resultant vector Vector   = 6.0 m and points 30° north of east. Vector   = 4.0 m and points 30° west of north. The resultant vector   +   is given by + Vector   = 6.0 m and points 30° north of east. Vector   = 4.0 m and points 30° west of north. The resultant vector   +   is given by is given by

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FIGURE 3-1 FIGURE 3-1   -Refer to Figure 3-1. The components of vectors   and   are -Refer to Figure 3-1. The components of vectors FIGURE 3-1   -Refer to Figure 3-1. The components of vectors   and   are and FIGURE 3-1   -Refer to Figure 3-1. The components of vectors   and   are are

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If the magnitude of vector If the magnitude of vector   is less than the magnitude of vector   , then the x-component of   is less than the x-component of   . is less than the magnitude of vector If the magnitude of vector   is less than the magnitude of vector   , then the x-component of   is less than the x-component of   . , then the x-component of If the magnitude of vector   is less than the magnitude of vector   , then the x-component of   is less than the x-component of   . is less than the x-component of If the magnitude of vector   is less than the magnitude of vector   , then the x-component of   is less than the x-component of   . .

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Vector Vector   = 6.0 m and points 30° east of south. Vector   = 4.0 m and points 30° west of north. The resultant vector   +   is given by = 6.0 m and points 30° east of south. Vector Vector   = 6.0 m and points 30° east of south. Vector   = 4.0 m and points 30° west of north. The resultant vector   +   is given by = 4.0 m and points 30° west of north. The resultant vector Vector   = 6.0 m and points 30° east of south. Vector   = 4.0 m and points 30° west of north. The resultant vector   +   is given by + Vector   = 6.0 m and points 30° east of south. Vector   = 4.0 m and points 30° west of north. The resultant vector   +   is given by is given by

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FIGURE 3-5 FIGURE 3-5   -Refer to Figure 3-5. The sum of these vectors is given by -Refer to Figure 3-5. The sum of these vectors is given by

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