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Chapter 3: Vectors

Physics For Scientists & Engineers
Pages: 59 - 77

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53 Questions for Chapter 3: Vectors

  1. Is it possible to add a vector quantity to a scalar quantity? Explain.

    Found on Page 71
  2. A girl delivering newspapers covers her route by traveling 3.00blocks west, 6.00 blocks north, and then 6.00blocks east.

    Found on Page 59
  3. While exploring a cave, a spelunker starts at the entrance and moves the following distances in a horizontal plane. She goes 75.0mnorth,250m east, 125mat an angle θ=30.0°north of east, and south. Find her resultant displacement from the cave entrance. Figure P3.21 suggests the situation but is not drawn to scale.

    Found on Page 73
  4. Use the component method to add the A→ vectors and B→ shown in Figure P3.11. Both vectors have magnitudes of3.00mand vector A→ makes an angle of with the x axis. Express the resultant A→+B→ in unit-vector notation.

    Found on Page 73
  5. Consider the two vectors A→=3i^-2j^andB→=-i^-4j^ calculate (a)A→+B→ (b) A→-B→(c) A→+B→(d) A→-B→and (e) the directions of A→+B→and A→-B→.

    Found on Page 73
  6. Your dog is running around the grass in your back yard. He undergoes successive displacements3.50msouth, 8.20 m northeast, and 15.0 m west. What is the resultant displacement?

    Found on Page 73
  7. Given the vectorsA→=2.00i^+6.00j^andB→=3.00i^-2.00j^, (a) draw the vector sumC→=A→+B→ and the vector difference D→=A→-B→.(b) CalculateC→and D→ , in terms of unit vectors. (c) Calculate C→ and D→ in terms of polar coordinates, with angles measured with respect to the positive x axi

    Found on Page 73
  8. Find a vector that points in the same direction as the vector (ı^+ȷ^) and whose magnitude is 1.

    Found on Page 77
  9. A snow-covered ski slope makes an angle of 35.0°with the horizontal. When a ski jumper plummets onto the hill, a parcel of splashed snow is thrown up to a maximum displacement of 1.50mat16.0°from the vertical in the uphill direction as shown in Figure P3.28. Find the components of its maximum displacement (a) parallel to the surface and (b) perpendicular to the surface.

    Found on Page 73
  10. The helicopter view in Fig. P3.29 (page 74) shows two W people pulling on a stubborn mule. The person on the right pulls with a forceF→1 of magnitude 120Nand direction of θ1=60.0° .

    Found on Page 73

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