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Force Worksheets — F = m × a Practice (Free Printable)

Newton’s second law is the first real physics equation most students meet: force equals mass times acceleration. These worksheets generate fresh F = m × a problems with mass in kilograms and acceleration in m/s², so the answer is a clean number of newtons. Pair them with the UnitFig unit converters to explore how the units combine.

Sample problems (new ones below)

A 10 kg mass accelerates at 4 m/s². What is the force? → 40 NA 16 kg mass accelerates at 4 m/s². What is the force? → 64 NA 2 kg mass accelerates at 1 m/s². What is the force? → 2 NA 16 kg mass accelerates at 6 m/s². What is the force? → 96 NA 10 kg mass accelerates at 1 m/s². What is the force? → 10 NA 18 kg mass accelerates at 8 m/s². What is the force? → 144 NA 20 kg mass accelerates at 10 m/s². What is the force? → 200 NA 4 kg mass accelerates at 4 m/s². What is the force? → 16 NA 14 kg mass accelerates at 4 m/s². What is the force? → 56 NA 2 kg mass accelerates at 7 m/s². What is the force? → 14 NA 6 kg mass accelerates at 2 m/s². What is the force? → 12 NA 18 kg mass accelerates at 9 m/s². What is the force? → 162 NA 15 kg mass accelerates at 3 m/s². What is the force? → 45 NA 17 kg mass accelerates at 9 m/s². What is the force? → 153 NA 11 kg mass accelerates at 5 m/s². What is the force? → 55 NA 13 kg mass accelerates at 5 m/s². What is the force? → 65 NA 15 kg mass accelerates at 6 m/s². What is the force? → 90 NA 4 kg mass accelerates at 2 m/s². What is the force? → 8 NA 1 kg mass accelerates at 7 m/s². What is the force? → 7 NA 16 kg mass accelerates at 1 m/s². What is the force? → 16 NA 9 kg mass accelerates at 5 m/s². What is the force? → 45 NA 1 kg mass accelerates at 5 m/s². What is the force? → 5 NA 2 kg mass accelerates at 10 m/s². What is the force? → 20 NA 11 kg mass accelerates at 7 m/s². What is the force? → 77 N

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Physics force
Name: _______________  ·  Date: _______________
unitfig.com/math-worksheets/physics-force · free printable
1.A 7 kg mass accelerates at 4 m/s². What is the force?
2.A 20 kg mass accelerates at 1 m/s². What is the force?
3.A 8 kg mass accelerates at 8 m/s². What is the force?
4.A 2 kg mass accelerates at 10 m/s². What is the force?
5.A 4 kg mass accelerates at 5 m/s². What is the force?
6.A 10 kg mass accelerates at 2 m/s². What is the force?
7.A 17 kg mass accelerates at 9 m/s². What is the force?
8.A 12 kg mass accelerates at 4 m/s². What is the force?
9.A 20 kg mass accelerates at 8 m/s². What is the force?
10.A 1 kg mass accelerates at 10 m/s². What is the force?
11.A 12 kg mass accelerates at 3 m/s². What is the force?
12.A 8 kg mass accelerates at 7 m/s². What is the force?
13.A 7 kg mass accelerates at 2 m/s². What is the force?
14.A 14 kg mass accelerates at 7 m/s². What is the force?
15.A 2 kg mass accelerates at 8 m/s². What is the force?
16.A 2 kg mass accelerates at 5 m/s². What is the force?
17.A 6 kg mass accelerates at 9 m/s². What is the force?
18.A 3 kg mass accelerates at 4 m/s². What is the force?
19.A 13 kg mass accelerates at 2 m/s². What is the force?
20.A 15 kg mass accelerates at 7 m/s². What is the force?
21.A 10 kg mass accelerates at 5 m/s². What is the force?
22.A 17 kg mass accelerates at 6 m/s². What is the force?
23.A 2 kg mass accelerates at 4 m/s². What is the force?
24.A 20 kg mass accelerates at 10 m/s². What is the force?
Answer Key
1. 28 N(Use F = m × a (newtons).)
2. 20 N(Use F = m × a (newtons).)
3. 64 N(Use F = m × a (newtons).)
4. 20 N(Use F = m × a (newtons).)
5. 20 N(Use F = m × a (newtons).)
6. 20 N(Use F = m × a (newtons).)
7. 153 N(Use F = m × a (newtons).)
8. 48 N(Use F = m × a (newtons).)
9. 160 N(Use F = m × a (newtons).)
10. 10 N(Use F = m × a (newtons).)
11. 36 N(Use F = m × a (newtons).)
12. 56 N(Use F = m × a (newtons).)
13. 14 N(Use F = m × a (newtons).)
14. 98 N(Use F = m × a (newtons).)
15. 16 N(Use F = m × a (newtons).)
16. 10 N(Use F = m × a (newtons).)
17. 54 N(Use F = m × a (newtons).)
18. 12 N(Use F = m × a (newtons).)
19. 26 N(Use F = m × a (newtons).)
20. 105 N(Use F = m × a (newtons).)
21. 50 N(Use F = m × a (newtons).)
22. 102 N(Use F = m × a (newtons).)
23. 8 N(Use F = m × a (newtons).)
24. 200 N(Use F = m × a (newtons).)

Teaching tips for force

  • •Write the formula every time: F = m × a. Mass in kg, acceleration in m/s², force comes out in newtons (N).
  • •Show the unit algebra: kg · m/s² = N. Seeing the unit confirms the student used the right quantities.
  • •Start with whole-number acceleration (1–10 m/s²) and modest masses (1–40 kg) so the arithmetic never hides the concept.

Common mistakes to watch for

✗ Forgetting the unit newtons (N) on the answer.
✓ A force is never "120" — it is "120 N". Writing N confirms F = m × a was applied, not just multiplied.
✗ Using grams instead of kilograms.
✓ The SI unit is kg. If a problem gives grams, convert to kg first (÷1000); these sheets keep mass in kg to avoid that step.

Check your answers with the tools

Browse all converters →Quick conversion charts →

Grade & standards alignment

These force worksheets target the Grades 6–9 band of the Common Core State Standards for Mathematics (CCSSM). The relevant CCSS math domains are:

Physical Science — Forces & Newton’s Laws

Source: Common Core State Standards for Mathematics (2010). National Governors Association Center for Best Practices (NGA Center) & Council of Chief State School Officers (CCSSO). Retrieved 2026-08-11 from https://www.corestandards.org/Math/.

The CCSSM are public, open-license standards; this alignment is provided for planning and is not an official endorsement by the standards authors.

How these worksheets are built (accuracy & trust)

  • •Problems are generated by a deterministic engine using exact integer and rational arithmetic — answers are reduced to lowest terms and never rely on floating-point rounding, so they match the matching UnitFig converter.
  • •Grade presets follow the CCSSM progression above; pick a grade to get age-appropriate number ranges.
  • •Content is reviewed for accuracy and refreshed each year (2026). Worksheet copy and examples are original and written for classroom use.

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UnitFig collects no personal information from children or any visitor. Worksheets run entirely in the browser: no account, no name or email, and student answers never leave the device. We follow a COPPA-aligned, zero-collection design so teachers and parents can use these sheets without a signup wall or privacy concern. See our Privacy Policy.

Frequently Asked Questions

What is the formula for force?

Newton’s second law: F = m × a, where mass m is in kilograms, acceleration a is in m/s², and force F is in newtons (N).

What grade learns F = m × a?

Typically grade 6–9 physical science, as part of motion and forces units.

Are the answers whole numbers?

With integer mass and acceleration the force is a whole number of newtons, which keeps early practice focused on the concept.

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Last Updated 2026 | Problems are algorithm-generated with the exact NIST/SI constants used by UnitFig converters. Answers are computed programmatically and can be verified with the matching converter.