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Force worksheet

Grades 6–7 · CCSS 6.RP.A.3.d

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

1.
Problem 1.
- Force: 140
- From: Kilograms-force (kgf)
- To: Newtons (N)
Find: In newtons
Answer
2.
Problem 2.
- Force: 120
- From: Kilograms-force (kgf)
- To: Ounces-force (ozf)
Find: In ounces-force
Answer
3.
Problem 3.
- Force: 80
- From: Newtons (N)
- To: Pounds-force (lbf)
Find: In pounds-force
Answer
4.
Problem 4.
- Force: 68
- From: Pounds-force (lbf)
- To: Ounces-force (ozf)
Find: In ounces-force
Answer
5.
Problem 5.
- Force: 90
- From: Kilograms-force (kgf)
- To: Ounces-force (ozf)
Find: In ounces-force
Answer
6.
Problem 6.
- Force: 120
- From: Ounces-force (ozf)
- To: Kilonewtons (kN)
Find: In kilonewtons
Answer
7.
Problem 7.
- Force: 80
- From: Kilonewtons (kN)
- To: Ounces-force (ozf)
Find: In ounces-force
Answer
8.
Problem 8.
- Force: 82
- From: Kilonewtons (kN)
- To: Ounces-force (ozf)
Find: In ounces-force
Answer
9.
Problem 9.
- Force: 120
- From: Kilograms-force (kgf)
- To: Kips (kilopounds-force) (kip)
Find: In kips (kilopounds-force)
Answer
10.
Problem 10.
- Force: 140
- From: Pounds-force (lbf)
- To: Kilograms-force (kgf)
Find: In kilograms-force
Answer

Answer key: Force worksheet

1. In newtons: 1,372.93 N
1. Change to newtons first. Each unit is a set number of newtons: 1 kgf = 9.80665 N, so multiply
  $140 kgf \times 9.80665$ $= 1,372.931 N$
2. In ounces-force: 4,232.88 ozf
1. Change to newtons first. Each unit is a set number of newtons: 1 kgf = 9.80665 N, so multiply
  $120 kgf \times 9.80665$ $= 1,176.798 N$
2. Then change to ounces-force: 1 ozf = 0.278013851 N, so divide
  $\frac{1,176.798 N}{0.278013851}$ $= 4,232.8754339497 ozf$
3. In pounds-force: 17.98 lbf
1. Then change to pounds-force: 1 lbf = 4.4482216153 N, so divide
  $\frac{80 N}{4.4482216153}$ $= 17.984715448 lbf$
4. In ounces-force: 1,088 ozf
1. Change to newtons first. Each unit is a set number of newtons: 1 lbf = 4.4482216153 N, so multiply
  $68 lbf \times 4.4482216153$ $= 302.4790698377 N$
2. Then change to ounces-force: 1 ozf = 0.278013851 N, so divide
  $\frac{302.4790698377 N}{0.278013851}$ $= 1,088 ozf$
5. In ounces-force: 3,174.66 ozf
1. Change to newtons first. Each unit is a set number of newtons: 1 kgf = 9.80665 N, so multiply
  $90 kgf \times 9.80665$ $= 882.5985 N$
2. Then change to ounces-force: 1 ozf = 0.278013851 N, so divide
  $\frac{882.5985 N}{0.278013851}$ $= 3,174.6565754622 ozf$
6. In kilonewtons: 0.03 kN
1. Change to newtons first. Each unit is a set number of newtons: 1 ozf = 0.278013851 N, so multiply
  $120 ozf \times 0.278013851$ $= 33.3616621145 N$
2. Then change to kilonewtons: 1 kN = 1,000 N, so divide
  $\frac{33.3616621145 N}{1,000}$ $= 0.0333616621 kN$
7. In ounces-force: 287,755.45 ozf
1. Change to newtons first. Each unit is a set number of newtons: 1 kN = 1,000 N, so multiply
  $80 kN \times 1,000$ $= 80,000 N$
2. Then change to ounces-force: 1 ozf = 0.278013851 N, so divide
  $\frac{80,000 N}{0.278013851}$ $= 287,755.4471676294 ozf$
8. In ounces-force: 294,949.33 ozf
1. Change to newtons first. Each unit is a set number of newtons: 1 kN = 1,000 N, so multiply
  $82 kN \times 1,000$ $= 82,000 N$
2. Then change to ounces-force: 1 ozf = 0.278013851 N, so divide
  $\frac{82,000 N}{0.278013851}$ $= 294,949.3333468202 ozf$
9. In kips (kilopounds-force): 0.26 kip
1. Change to newtons first. Each unit is a set number of newtons: 1 kgf = 9.80665 N, so multiply
  $120 kgf \times 9.80665$ $= 1,176.798 N$
2. Then change to kips (kilopounds-force): 1 kip = 4,448.2216152605 N, so divide
  $\frac{1,176.798 N}{4,448.2216152605}$ $= 0.2645547146 kip$
10. In kilograms-force: 63.5 kgf
1. Change to newtons first. Each unit is a set number of newtons: 1 lbf = 4.4482216153 N, so multiply
  $140 lbf \times 4.4482216153$ $= 622.7510261365 N$
2. Then change to kilograms-force: 1 kgf = 9.80665 N, so divide
  $\frac{622.7510261365 N}{9.80665}$ $= 63.5029318 kgf$