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.🏋️ In which unit is work measured? (a) watt hour (b) joule (J) (c) newton (N) (d) metre (m)
- 2.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 1050 N box up it, in newtons? (ideal ramp, no friction)
- 3.🏋️ Pushing a crate 6 m took 1860 J of work. What force was used, in newtons?
- 4.🏋️ A longer ramp to the same height needs … (a) the same effort (b) more effort (c) less effort (d) no effort
- 5.🏋️ Pushing a crate 5 m took 1900 J of work. What force was used, in newtons?
- 6.🏋️ A force of 100 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 7.🏋️ Pushing a crate 2 m took 800 J of work. What force was used, in newtons?
- 8.🏋️ A machine lifts a load of 480 N when you push with 120 N. What is its mechanical advantage (MA)?
- 9.🏋️ Pushing a crate 10 m took 100 J of work. What force was used, in newtons?
- 10.🏋️ A machine lifts a load of 650 N when you push with 130 N. What is its mechanical advantage (MA)?
- 11.🏋️ Work is done when a force moves something … (a) very slowly (b) without moving it (c) only upwards (d) through a distance
- 12.🏋️ A machine lifts a load of 570 N when you push with 190 N. What is its mechanical advantage (MA)?
- 13.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 3750 N box up it, in newtons? (ideal ramp, no friction)
- 14.🏋️ A 9 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 15.🏋️ Pushing a crate 4 m took 1520 J of work. What force was used, in newtons?
- 16.🏋️ A 20 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 17.🏋️ A 13 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 18.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 300 N box up it, in newtons? (ideal ramp, no friction)
- 19.🏋️ A machine lifts a load of 240 N when you push with 80 N. What is its mechanical advantage (MA)?
- 20.🏋️ Pushing a crate 3 m took 750 J of work. What force was used, in newtons?
- 21.🏋️ A force of 90 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 22.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 1350 N box up it, in newtons? (ideal ramp, no friction)
- 23.🏋️ A 9 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 24.🏋️ Pushing a crate 2 m took 640 J of work. What force was used, in newtons?
- 25.🏋️ A 7 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 26.🏋️ A force of 490 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 27.🏋️ A 20 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 28.🏋️ A force of 290 N did 2030 J of work. How many metres did the object move?
- 29.🏋️ A force of 230 N did 2070 J of work. How many metres did the object move?
- 30.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load × effort (c) load + effort (d) load ÷ effort
- 31.🏋️ A machine lifts a load of 200 N when you push with 100 N. What is its mechanical advantage (MA)?
- 32.🏋️ A force of 30 N did 210 J of work. How many metres did the object move?
- 33.🏋️ A 10 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 34.🏋️ A force of 360 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 35.🏋️ A force of 110 N did 110 J of work. How many metres did the object move?
- 36.🏋️ A force of 250 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 37.🏋️ Pushing a crate 6 m took 1080 J of work. What force was used, in newtons?
- 38.🏋️ A 12 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 39.🏋️ Pushing a crate 2 m took 60 J of work. What force was used, in newtons?
- 40.🏋️ Pushing a crate 5 m took 950 J of work. What force was used, in newtons?
Answer key
- joule (J)
- 350
- 310
- less effort
- 380
- 700
- 400
- 4
- 10
- 5
- through a distance
- 3
- 750
- 360
- 380
- 600
- 260
- 50
- 3
- 250
- 630
- 450
- 180
- 320
- 280
- 1470
- 200
- 7
- 9
- load ÷ effort
- 2
- 7
- 100
- 1080
- 1
- 750
- 180
- 120
- 30
- 190
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