Add vectors and split them into parts

Grade 11 Science Worksheet

NameDate

Circle the best answer, or write your answer on the line.

  1. Ari pulls a cart's handle with 10 N at 60° above the ground. What is the horizontal part of the pull, to the nearest 0.1 N?

  2. Bo pulls a cart's handle with 20 N at 30° above the ground. What is the horizontal part of the pull, to the nearest 0.1 N?

  3. Esme pulls a cart's handle with 40 N at 37° above the ground. What is the horizontal part of the pull, to the nearest 0.1 N?

  4. In the arrow grid, what are the components of arrow F, Jun?

    • 8 N along x, 6 N along y
    • 6 N along x, 8 N along y
    • 14 N together
    • 10 N along x, 0 along y
  5. In the arrow grid, what is the magnitude of arrow F, Kira?

    Use the picture in question 4.

    • 10 N
    • 2 N
    • 14 N
    • 48 N
  6. In the arrow grid, what is tan θ for arrow F's angle above the x-axis, Luz?

    Use the picture in question 4.

    • 8 ÷ 6
    • 6 ÷ 8 = 0.75
    • 6 ÷ 10
    • 10 ÷ 8
  7. A = (3, 4) N and B = (5, −1) N. What is A + B, Milo?

    • (8, 3) N
    • (8, 5) N
    • (2, 5) N
    • (15, −4) N
  8. A = (6, 2) m and B = (−6, 3) m. What is A + B, Noah?

    • (0, 1) m
    • (0, 5) m
    • (12, 5) m
    • (−36, 6) m
  9. A boat points straight across a river while the current flows downstream. Where does it land, Ren?

    • Upstream of the point straight across
    • Back where it started
    • Downstream of the point straight across
    • At the point straight across
  10. A boat points straight across a river. Does a faster current change the crossing time, Tala?

    • No; only the across-speed sets it
    • Yes; a faster current makes it shorter
    • Yes; a faster current makes it longer
    • Yes; the boat must fight the current
PencilGopencilgo.com

Add vectors and split them into parts

Answer Key - Grade 11 Science Worksheet

Circle the best answer, or write your answer on the line.

  1. Ari pulls a cart's handle with 10 N at 60° above the ground. What is the horizontal part of the pull, to the nearest 0.1 N?

    5 N
  2. Bo pulls a cart's handle with 20 N at 30° above the ground. What is the horizontal part of the pull, to the nearest 0.1 N?

    17.3 N
  3. Esme pulls a cart's handle with 40 N at 37° above the ground. What is the horizontal part of the pull, to the nearest 0.1 N?

    31.9 N
  4. In the arrow grid, what are the components of arrow F, Jun?

    • 8 N along x, 6 N along y
    • 6 N along x, 8 N along y
    • 14 N together
    • 10 N along x, 0 along y
  5. In the arrow grid, what is the magnitude of arrow F, Kira?

    Use the picture in question 4.

    • 10 N
    • 2 N
    • 14 N
    • 48 N
  6. In the arrow grid, what is tan θ for arrow F's angle above the x-axis, Luz?

    Use the picture in question 4.

    • 8 ÷ 6
    • 6 ÷ 8 = 0.75
    • 6 ÷ 10
    • 10 ÷ 8
  7. A = (3, 4) N and B = (5, −1) N. What is A + B, Milo?

    • (8, 3) N
    • (8, 5) N
    • (2, 5) N
    • (15, −4) N
  8. A = (6, 2) m and B = (−6, 3) m. What is A + B, Noah?

    • (0, 1) m
    • (0, 5) m
    • (12, 5) m
    • (−36, 6) m
  9. A boat points straight across a river while the current flows downstream. Where does it land, Ren?

    • Upstream of the point straight across
    • Back where it started
    • Downstream of the point straight across
    • At the point straight across
  10. A boat points straight across a river. Does a faster current change the crossing time, Tala?

    • No; only the across-speed sets it
    • Yes; a faster current makes it shorter
    • Yes; a faster current makes it longer
    • Yes; the boat must fight the current