Scalars and vectors

Grade 11 Science Worksheet - Building Confidence

NameDate

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

  1. Two tugboats pull a barge with forces of 300 N and 400 N at right angles to each other. What is the size of the net force, Ari?

  2. Two tugboats pull a barge with forces of 50 N and 120 N at right angles to each other. What is the size of the net force, Bo?

  3. Two tugboats pull a barge with forces of 200 N and 210 N at right angles to each other. What is the size of the net force, Esme?

  4. A cart rolling east at 5 m/s slows to 2 m/s, still rolling east. What is the change in its velocity, Kira?

    • 7 m/s west
    • 7 m/s east
    • 3 m/s east
    • 3 m/s west
  5. A skater moving north at 4 m/s turns and moves east at 3 m/s. What is the size of the change in velocity, Luz?

    • 3 m/s
    • 7 m/s
    • 1 m/s
    • 5 m/s
  6. Noah runs half a lap round a circular track 100 m across. The track is 314 m round. What are the distance and the displacement?

    • 314 m and 0 m
    • 100 m and 157 m
    • 157 m and 157 m
    • 157 m and 100 m
  7. Pia rides in a car that drives 60 km north in 1 h, then 80 km east in 1 h. What are its average speed and average velocity?

    • 70 km/h and 50 km/h
    • 35 km/h and 25 km/h
    • 70 km/h and 70 km/h
    • 50 km/h and 50 km/h
  8. Read this first

    Use this

    Arrow grid (example data).

  9. In the arrow grid, what speed does arrow A show, Ren?

    • 10 m/s
    • 7 m/s
    • 14 m/s
    • 5 m/s
  10. Which statement about arrows A and B is right, Tala?

    Use the picture in question 8.

    • They are equal vectors, since both are 10 m/s long
    • A + B is 20 m/s, since both are 10 m/s
    • They are opposite vectors: the same size and opposite directions, so A + B = 0
    • They have different sizes, since B points south and west
  11. How does arrow C compare with arrow A, Zee?

    Use the picture in question 8.

    • The same size as A, but a different direction
    • A different direction from A, and 20 m/s long
    • Same direction as A and twice the size, 20 m/s
    • The same direction as A, but 28 m/s long
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Scalars and vectors

Answer Key - Grade 11 Science Worksheet - Building Confidence

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

  1. Two tugboats pull a barge with forces of 300 N and 400 N at right angles to each other. What is the size of the net force, Ari?

    500 N
  2. Two tugboats pull a barge with forces of 50 N and 120 N at right angles to each other. What is the size of the net force, Bo?

    130 N
  3. Two tugboats pull a barge with forces of 200 N and 210 N at right angles to each other. What is the size of the net force, Esme?

    290 N
  4. A cart rolling east at 5 m/s slows to 2 m/s, still rolling east. What is the change in its velocity, Kira?

    • 7 m/s west
    • 7 m/s east
    • 3 m/s east
    • 3 m/s west
  5. A skater moving north at 4 m/s turns and moves east at 3 m/s. What is the size of the change in velocity, Luz?

    • 3 m/s
    • 7 m/s
    • 1 m/s
    • 5 m/s
  6. Noah runs half a lap round a circular track 100 m across. The track is 314 m round. What are the distance and the displacement?

    • 314 m and 0 m
    • 100 m and 157 m
    • 157 m and 157 m
    • 157 m and 100 m
  7. Pia rides in a car that drives 60 km north in 1 h, then 80 km east in 1 h. What are its average speed and average velocity?

    • 70 km/h and 50 km/h
    • 35 km/h and 25 km/h
    • 70 km/h and 70 km/h
    • 50 km/h and 50 km/h
  8. Read this first

    Use this

    Arrow grid (example data).

  9. In the arrow grid, what speed does arrow A show, Ren?

    • 10 m/s
    • 7 m/s
    • 14 m/s
    • 5 m/s
  10. Which statement about arrows A and B is right, Tala?

    Use the picture in question 8.

    • They are equal vectors, since both are 10 m/s long
    • A + B is 20 m/s, since both are 10 m/s
    • They are opposite vectors: the same size and opposite directions, so A + B = 0
    • They have different sizes, since B points south and west
  11. How does arrow C compare with arrow A, Zee?

    Use the picture in question 8.

    • The same size as A, but a different direction
    • A different direction from A, and 20 m/s long
    • Same direction as A and twice the size, 20 m/s
    • The same direction as A, but 28 m/s long