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Force worksheet

Grades 8–9 · CCSS HSA.CED.A.4

Solve each problem and show your work. Round answers to 2 decimal places where needed.

1.
Problem 1.
- Solve for: Mass
- Net force (F): 5,000 N
- Acceleration (a): 3 m/s²
- Show mass in: Kilograms (kg)
Find: Mass
Answer
2.
Problem 2.
- Solve for: Mass
- Net force (F): 2,700 N
- Acceleration (a): 2 m/s²
- Show mass in: Grams (g)
Find: Mass
Answer
3.
Problem 3.
- Solve for: Force
- Mass (m): 1,000 kg
- Acceleration (a): 3 m/s²
- Show force in: Newtons (N)
Find: Force
Answer
4.
Problem 4.
- Solve for: Acceleration
- Net force (F): 4,000 N
- Mass (m): 1,050 kg
- Show acceleration in: Meters per second squared (m/s²)
Find: Acceleration
Answer
5.
Problem 5.
- Solve for: Mass
- Net force (F): 3,500 N
- Acceleration (a): 2 m/s²
- Show mass in: Kilograms (kg)
Find: Mass
Answer
6.
Problem 6.
- Solve for: Force
- Mass (m): 1,200 kg
- Acceleration (a): 4 m/s²
- Show force in: Pounds-force (lbf)
Find: Force
Answer
7.
Problem 7.
- Solve for: Acceleration
- Net force (F): 3,000 N
- Mass (m): 1,600 kg
- Show acceleration in: Standard gravity (g)
Find: Acceleration
Answer
8.
Problem 8.
- Solve for: Force
- Mass (m): 1,475 kg
- Acceleration (a): 2 m/s²
- Show force in: Pounds-force (lbf)
Find: Force
Answer
9.
Problem 9.
- Solve for: Mass
- Net force (F): 3,500 N
- Acceleration (a): 2 m/s²
- Show mass in: Pounds (lb)
Find: Mass
Answer
10.
Problem 10.
- Solve for: Force
- Mass (m): 1,225 kg
- Acceleration (a): 2 m/s²
- Show force in: Newtons (N)
Find: Force
Answer

Answer key: Force worksheet

1. Mass: 1,666.67 kg
1. Divide the force by the acceleration to get the mass, since force is mass times acceleration
  $\frac{5,000}{3}$ $= 1,666.666667 kg$
2. Mass: 1,350,000 g
1. Divide the force by the acceleration to get the mass, since force is mass times acceleration
  $\frac{2,700}{2}$ $= 1,350 kg$
2. Change the answer to g, the unit you chose, by dividing by 0.001
  $\frac{1,350}{0.001}$ $= 1,350,000 g$
3. Force: 3,000 N
1. Multiply the mass by the acceleration. That gives the force
  $1,000 \times 3$ $= 3,000 N$
4. Acceleration: 3.81 m/s²
1. Divide the force by the mass to get the acceleration, since force is mass times acceleration
  $\frac{4,000}{1,050}$ $= 3.809524 m/s²$
5. Mass: 1,750 kg
1. Divide the force by the acceleration to get the mass, since force is mass times acceleration
  $\frac{3,500}{2}$ $= 1,750 kg$
6. Force: 1,079.08 lbf
1. Multiply the mass by the acceleration. That gives the force
  $1,200 \times 4$ $= 4,800 N$
2. Change the answer to lbf, the unit you chose, by dividing by 4.448221615261
  $\frac{4,800}{4.448221615261}$ $= 1,079.082927 lbf$
7. Acceleration: 0.19 g
1. Divide the force by the mass to get the acceleration, since force is mass times acceleration
  $\frac{3,000}{1,600}$ $= 1.875 m/s²$
2. Change the answer to g, the unit you chose, by dividing by 9.80665
  $\frac{1.875}{9.80665}$ $= 0.191197 g$
8. Force: 663.19 lbf
1. Multiply the mass by the acceleration. That gives the force
  $1,475 \times 2$ $= 2,950 N$
2. Change the answer to lbf, the unit you chose, by dividing by 4.448221615261
  $\frac{2,950}{4.448221615261}$ $= 663.186382 lbf$
9. Mass: 3,858.09 lb
1. Divide the force by the acceleration to get the mass, since force is mass times acceleration
  $\frac{3,500}{2}$ $= 1,750 kg$
2. Change the answer to lb, the unit you chose, by dividing by 0.45359237
  $\frac{1,750}{0.45359237}$ $= 3,858.089588 lb$
10. Force: 2,450 N
1. Multiply the mass by the acceleration. That gives the force
  $1,225 \times 2$ $= 2,450 N$