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Work and Power worksheet

Grades 10–11 · CCSS HSG.SRT.C.8, HSA.CED.A.4

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

1.
Problem 1.
- Solve for: Distance
- Force (F): 36 N
- Angle between force and motion (θ): 0 °
- Work (W): 460 J
- Show distance in: Centimeters (cm)
Find: Distance
Answer
2.
Problem 2.
- Solve for: Distance
- Force (F): 45 N
- Angle between force and motion (θ): 0 °
- Work (W): 500 J
- Show distance in: Inches (in)
Find: Distance
Answer
3.
Problem 3.
- Solve for: Distance
- Force (F): 60 N
- Angle between force and motion (θ): 0 °
- Work (W): 420 J
- Show distance in: Yards (yd)
Find: Distance
Answer
4.
Problem 4.
- Solve for: Power (P = W ÷ t)
- Work (W): 325 J
- Time taken (t): 6 s
- Show power in: Mechanical horsepower (hp)
Find: Power
Answer
5.
Problem 5.
- Solve for: Distance
- Force (F): 70 N
- Angle between force and motion (θ): 0 °
- Work (W): 740 J
- Show distance in: Kilometers (km)
Find: Distance
Answer
6.
Problem 6.
- Solve for: Work (W = F × d × cos θ)
- Force (F): 65 N
- Distance moved (d): 11 m
- Angle between force and motion (θ): 0 °
- Time taken (t): 5 s
- Show work in: Kilowatt-hours (kWh)
- Show power in: Kilowatts (kW)
Find: Work
Answer
7.
Problem 7.
- Solve for: Distance
- Force (F): 54 N
- Angle between force and motion (θ): 0 °
- Work (W): 580 J
- Show distance in: Kilometers (km)
Find: Distance
Answer
8.
Problem 8.
- Solve for: Force
- Distance moved (d): 9 m
- Angle between force and motion (θ): 0 °
- Work (W): 350 J
- Show force in: Pounds-force (lbf)
Find: Force
Answer
9.
Problem 9.
- Solve for: Force
- Distance moved (d): 9 m
- Angle between force and motion (θ): 0 °
- Work (W): 450 J
- Show force in: Pounds-force (lbf)
Find: Force
Answer
10.
Problem 10.
- Solve for: Time
- Work (W): 275 J
- Power (P): 116 W
- Show time in: Hours (h)
Find: Time
Answer

Answer key: Work and Power worksheet

1. Distance: 1,277.78 cm
1. Evaluate cos θ for θ = 0°
  $cos 0 °$ $= 1$
2. Turn the work formula around to find the distance: divide the work by force × cos θ
  $\frac{460}{36 \times 1}$ $= 12.777778 m$
3. Change the answer to cm, the unit you picked: divide by 0.01
  $\frac{12.777778}{0.01}$ $= 1,277.777778 cm$
2. Distance: 437.45 in
1. Evaluate cos θ for θ = 0°
  $cos 0 °$ $= 1$
2. Turn the work formula around to find the distance: divide the work by force × cos θ
  $\frac{500}{45 \times 1}$ $= 11.111111 m$
3. Change the answer to in, the unit you picked: divide by 0.0254
  $\frac{11.111111}{0.0254}$ $= 437.445319 in$
3. Distance: 7.66 yd
1. Evaluate cos θ for θ = 0°
  $cos 0 °$ $= 1$
2. Turn the work formula around to find the distance: divide the work by force × cos θ
  $\frac{420}{60 \times 1}$ $= 7 m$
3. Change the answer to yd, the unit you picked: divide by 0.9144
  $\frac{7}{0.9144}$ $= 7.655293 yd$
4. Power: 0.07 hp
1. Power is how fast the work is done, so divide the work by the time
  $\frac{325}{6}$ $= 54.166667 W$
2. Change the answer to hp, the unit you picked: divide by 745.69987158227
  $\frac{54.166667}{745.69987158227}$ $= 0.072639 hp$
5. Distance: 0.01 km
1. Evaluate cos θ for θ = 0°
  $cos 0 °$ $= 1$
2. Turn the work formula around to find the distance: divide the work by force × cos θ
  $\frac{740}{70 \times 1}$ $= 10.571429 m$
3. Change the answer to km, the unit you picked: divide by 1,000
  $\frac{10.571429}{1,000}$ $= 0.010571 km$
6. Work: 1.99e-4 kWh
1. Evaluate cos θ for θ = 0°
  $cos 0 °$ $= 1$
2. Multiply force × distance × cos θ. The cosine keeps only the part of the force that points along the motion
  $65 \times 11 \times 1$ $= 715 J$
3. Change the answer to kWh, the unit you picked: divide by 3,600,000
  $\frac{715}{3,600,000}$ $= 0.000199 kWh$
4. Find the average power: divide the work by the time it took
  $\frac{715}{5}$ $= 143 W$
7. Distance: 0.01 km
1. Evaluate cos θ for θ = 0°
  $cos 0 °$ $= 1$
2. Turn the work formula around to find the distance: divide the work by force × cos θ
  $\frac{580}{54 \times 1}$ $= 10.740741 m$
3. Change the answer to km, the unit you picked: divide by 1,000
  $\frac{10.740741}{1,000}$ $= 0.010741 km$
8. Force: 8.74 lbf
1. Evaluate cos θ for θ = 0°
  $cos 0 °$ $= 1$
2. Turn the work formula around to find the force: divide the work by distance × cos θ
  $\frac{350}{9 \times 1}$ $= 38.888889 N$
3. Change the answer to lbf, the unit you picked: divide by 4.448221615261
  $\frac{38.888889}{4.448221615261}$ $= 8.74257 lbf$
9. Force: 11.24 lbf
1. Evaluate cos θ for θ = 0°
  $cos 0 °$ $= 1$
2. Turn the work formula around to find the force: divide the work by distance × cos θ
  $\frac{450}{9 \times 1}$ $= 50 N$
3. Change the answer to lbf, the unit you picked: divide by 4.448221615261
  $\frac{50}{4.448221615261}$ $= 11.240447 lbf$
10. Time: 6.59e-4 h
1. Turn the power formula around to find the time: divide the work by the power
  $\frac{275}{116}$ $= 2.37069 s$
2. Change the answer to h, the unit you picked: divide by 3,600
  $\frac{2.37069}{3,600}$ $= 0.000659 h$