PS-10-Force Problems worksheet - Free Printable

Let’s solve each problem one by one using the formula:

Force (F) = mass (m) × acceleration (a)
or rearranged as needed:
mass (m) = Force (F) ÷ acceleration (a)
acceleration (a) = Force (F) ÷ mass (m)

We’ll use the triangle shown in the image to help remember:
- F on top → multiply m and a
- m and a on bottom → divide F by whichever you need

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Problem 1:
A 40-kg baseball is accelerated 600 m/s² — what force?

→ F = m × a
→ F = 40 × 600 = 24,000 N

✔ Answer: 24000

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Problem 2:
Gravity = 9.8 m/s², mass = 700 kg → weight? (weight = force of gravity)

→ F = m × a
→ F = 700 × 9.8 = 6860 N

✔ Answer: 6860

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Problem 3:
Weight = 600 N, mass = 294.56 kg → find acceleration of gravity

→ a = F ÷ m
→ a = 600 ÷ 294.56 ≈ 2.037... → round to 2 decimals → 2.04 m/s²

✔ Answer: 2.04

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Problem 4:
Mass = 500 kg, acceleration = 3 m/s² → how much force?

→ F = m × a
→ F = 500 × 3 = 1500 N

✔ Answer: 1500

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Problem 5:
Mass = 50 kg, force = 250 N → what’s acceleration?

→ a = F ÷ m
→ a = 250 ÷ 50 = 5 m/s²

✔ Answer: 5

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Problem 6:
Acceleration = 3 m/s², force = 175 N → what’s mass?

→ m = F ÷ a
→ m = 175 ÷ 3 ≈ 58.333... → round to 2 decimals → 58.33 kg

✔ Answer: 58.33

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Final Answer:
1. 24000
2. 6860
3. 2.04
4. 1500
5. 5
6. 58.33