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Grade 11 · Science · Physics

11th grade Newton's second law: calculations and data worksheet

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Newton's second law: calculations and data

Grade 11 Science Worksheet

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

  1. A cart with friction has an acceleration-applied force line through (5 N, 0.5 m/s²) and (9 N, 1.5 m/s²). What is its mass, Bo?

  2. A cart with friction has an acceleration-applied force line through (4.5 N, 0.5 m/s²) and (10.5 N, 1.5 m/s²). What is its mass, Esme?

  3. Read this first

    A cart pulled with different forces (example data)

    applied force (N)acceleration (m/s²)
    20.3
    41.3
    62.3
    83.3

  4. Jun fits a line to the table. What mass and friction does the fit give?

    • Mass 6.7 kg and friction 1.4 N, using F ÷ a at the first row
    • Mass 2.0 kg and friction 1.4 N: slope 0.5, crossing at 1.4 N
    • Mass 2.0 kg and friction 0.3 N, reading the first a as friction
    • Mass 0.5 kg and friction 1.4 N, reading the slope as mass

  5. Using the fit of the table (mass 2.0 kg, friction 1.4 N), what acceleration does a 10 N pull give Kira's cart?

    • 5.7 m/s²: (10 + 1.4) N ÷ 2.0 kg
    • 3.3 m/s²: the acceleration at the last row, 8 N
    • 5 m/s²: 10 N ÷ 2.0 kg
    • 4.3 m/s²: (10 − 1.4) N ÷ 2.0 kg

  7. Milo reads the graph. What does the crossing at 1 N on the force axis show?

    • Friction of 1 N: the pull must beat it first
    • The cart's mass is 1 kg, read from the crossing
    • The cart weighs 1 N, as shown at the crossing
    • The cart already speeds up even with no pull applied

  8. Noah reads the graph. What is the cart's mass?

    Use the picture in question 5.

    • 1 kg: where the line meets the force axis
    • 2 kg: 1 ÷ the slope of 0.5
    • 2.5 kg: 5 N ÷ 2 m/s², ignoring the friction
    • 0.5 kg: the value of the slope itself, read off the graph

  9. Pia reads the graph. What acceleration does a 4 N applied force give?

    Use the picture in question 5.

    • 1.5 m/s²: (4 − 1) N ÷ 2 kg
    • 2.5 m/s²: (4 + 1) N ÷ 2 kg
    • 1.2 m/s²: (4 − 1) N ÷ 2.5 kg
    • 2 m/s²: 4 N ÷ 2 kg, leaving friction out

  10. A 30 N pull on a 3 kg cart tows a 2 kg cart behind it by a light rope on a smooth floor. What is the rope tension, Ren?

    • 30 N, the whole pull
    • 15 N, half of the pull
    • 18 N: 3 kg × 6 m/s², the front cart's net force
    • 12 N: the rope alone accelerates the 2 kg cart at 6 m/s²

  11. A 3 kg mass and a 2 kg mass hang on a light string over a frictionless pulley and are released. What is their acceleration, Tala? Use g = 9.8 m/s².

    • 0.98 m/s²: (3 − 2) × 9.8 ÷ 10
    • 5.88 m/s²: 3 × 9.8 ÷ 5
    • 1.96 m/s²: (3 − 2) × 9.8 ÷ (3 + 2)
    • 4.9 m/s²: (3 − 2) × 9.8 ÷ 2

  12. A 3 kg mass and a 2 kg mass hang on a light string over a frictionless pulley and accelerate at 1.96 m/s². What is the string tension, Zee? Use g = 9.8 m/s².

    • 23.52 N: 2 × (9.8 + 1.96)
    • 29.4 N, the weight of the 3 kg mass
    • 24.5 N, halfway between the two weights
    • 19.6 N, the weight of the 2 kg mass
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11th grade Newton's second law: calculations and data worksheet – printable
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About this worksheet

Newton's second law: calculations and data. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

  • I can use F_net = ma with the net force: subtract friction, add every pull with its direction, and include weight and drag.
  • I can read an acceleration-force graph. It is a straight line through zero, and its slope is 1 ÷ m. When friction acts, the line starts at the friction force.
  • I can read a same-force, different-mass table (a ∝ 1/m), and find a mass from two data points (m = ΔF ÷ Δa) or from a table.
  • I can plan a fair cart experiment: hold the mass constant, measure and subtract friction, and use several forces.

Standard: HS-PS2-1

Words to know

net force: All forces added with their directions

F_net = ma: Net force equals mass times acceleration

slope: Rise ÷ run; here acceleration per newton, which is 1 ÷ m

inversely proportional: Double one, the other halves

controlled variable: A quantity kept the same during an experiment

Common mistakes

Your child left friction out of the net force. F = ma uses the sum of every force, with opposing forces subtracted.

Your child added all the forces. Forces that point opposite ways partly cancel, so subtract them.

Your child divided force by acceleration at one point. With friction, the line misses the origin, so the slope between two points gives the mass.

Questions parents ask

What is the most common mistake with newton's second law: calculations and data?

Your child left friction out of the net force. F = ma uses the sum of every force, with opposing forces subtracted.

Are these 11th grade science worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

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