Engineering Worksheet: Mechanical Advantage and Work
Engineer's tip (Less force, more distance): MA = load ÷ effort. Work (J) = force (N) × distance (m); force = work ÷ distance; distance = work ÷ force. Ideal ramp: MA = length ÷ height, effort = load ÷ MA.
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- 1.🏋️ A machine lifts a load of 60 N when you push with 20 N. What is its mechanical advantage (MA)?
- 2.🏋️ A force of 490 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 3.🏋️ A 4 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 4.🏋️ A force of 240 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 5.🏋️ A longer ramp to the same height needs … (a) the same effort (b) more effort (c) less effort (d) no effort
- 6.🏋️ A force of 230 N did 230 J of work. How many metres did the object move?
- 7.🏋️ A force of 120 N did 1200 J of work. How many metres did the object move?
- 8.🏋️ In which unit is work measured? (a) watt hour (b) metre (m) (c) joule (J) (d) newton (N)
- 9.🏋️ A 16 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 10.🏋️ Pushing a crate 4 m took 840 J of work. What force was used, in newtons?
- 11.🏋️ A force of 320 N did 2240 J of work. How many metres did the object move?
- 12.🏋️ An 8 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 13.🏋️ Mechanical advantage (MA) = … (a) load × effort (b) load + effort (c) effort ÷ load (d) load ÷ effort
- 14.🏋️ Work is done when a force moves something … (a) through a distance (b) very slowly (c) without moving it (d) only upwards
- 15.🏋️ A force of 10 N did 50 J of work. How many metres did the object move?
- 16.🏋️ A 16 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 17.🏋️ A force of 280 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 18.🏋️ A 13 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 19.🏋️ A machine lifts a load of 260 N when you push with 130 N. What is its mechanical advantage (MA)?
- 20.🏋️ A 1 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 21.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 500 N box up it, in newtons? (ideal ramp, no friction)
- 22.🏋️ A force of 440 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 23.🏋️ A 14 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 24.🏋️ A force of 40 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 25.🏋️ Pushing a crate 1 m took 100 J of work. What force was used, in newtons?
- 26.🏋️ A force of 90 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 27.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 3250 N box up it, in newtons? (ideal ramp, no friction)
- 28.🏋️ A 12 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 29.🏋️ A 16 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 30.🏋️ A force of 90 N did 270 J of work. How many metres did the object move?
- 31.🏋️ A force of 420 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 32.🏋️ A force of 380 N did 1900 J of work. How many metres did the object move?
- 33.🏋️ A force of 390 N did 3510 J of work. How many metres did the object move?
- 34.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 1650 N box up it, in newtons? (ideal ramp, no friction)
- 35.🏋️ A force of 110 N did 550 J of work. How many metres did the object move?
- 36.🏋️ A force of 150 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 37.🏋️ A force of 110 N did 880 J of work. How many metres did the object move?
- 38.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 1750 N box up it, in newtons? (ideal ramp, no friction)
- 39.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 3000 N box up it, in newtons? (ideal ramp, no friction)
- 40.🏋️ A force of 320 N pushes a cart 6 m along the floor. How much work is done, in joules?
Answer key
- 3
- 980
- 80
- 2160
- less effort
- 1
- 10
- joule (J)
- 160
- 210
- 7
- 320
- load ÷ effort
- through a distance
- 5
- 640
- 560
- 650
- 2
- 10
- 250
- 1760
- 140
- 160
- 100
- 270
- 650
- 480
- 320
- 3
- 3360
- 5
- 9
- 550
- 5
- 300
- 8
- 350
- 600
- 1920
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