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.
NameDateTime takenScore ___ / 40
- 1.🏋️ 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?
- 2.🏋️ A force of 50 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 3.🏋️ Can a simple machine reduce the work done? (a) yes, always (b) only on Mondays (c) yes, by half (d) no, work stays the same
- 4.🏋️ A force of 220 N did 1980 J of work. How many metres did the object move?
- 5.🏋️ A force of 210 N did 630 J of work. How many metres did the object move?
- 6.🏋️ A 6 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 7.🏋️ Pushing a crate 10 m took 900 J of work. What force was used, in newtons?
- 8.🏋️ A force of 470 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 9.🏋️ A 2 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.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load × effort (c) load + effort (d) load ÷ effort
- 11.🏋️ A force of 390 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 12.🏋️ Pushing a crate 8 m took 640 J of work. What force was used, in newtons?
- 13.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 1350 N box up it, in newtons? (ideal ramp, no friction)
- 14.🏋️ A force of 400 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 15.🏋️ A force of 320 N did 2880 J of work. How many metres did the object move?
- 16.🏋️ Pushing a crate 4 m took 280 J of work. What force was used, in newtons?
- 17.🏋️ A force of 390 N did 780 J of work. How many metres did the object move?
- 18.🏋️ A machine lifts a load of 280 N when you push with 70 N. What is its mechanical advantage (MA)?
- 19.🏋️ A force of 210 N did 1890 J of work. How many metres did the object move?
- 20.🏋️ A force of 200 N did 200 J of work. How many metres did the object move?
- 21.🏋️ An 11 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 22.🏋️ A 7 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 23.🏋️ A force of 460 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 24.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 4500 N box up it, in newtons? (ideal ramp, no friction)
- 25.🏋️ A 7 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 26.🏋️ A 1 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 27.🏋️ A longer ramp to the same height needs … (a) less effort (b) the same effort (c) more effort (d) no effort
- 28.🏋️ A force of 20 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 29.🏋️ A force of 370 N did 370 J of work. How many metres did the object move?
- 30.🏋️ Pushing a crate 1 m took 380 J of work. What force was used, in newtons?
- 31.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 3200 N box up it, in newtons? (ideal ramp, no friction)
- 32.🏋️ Pushing a crate 1 m took 70 J of work. What force was used, in newtons?
- 33.🏋️ Pushing a crate 6 m took 540 J of work. What force was used, in newtons?
- 34.🏋️ Work is done when a force moves something … (a) without moving it (b) very slowly (c) through a distance (d) only upwards
- 35.🏋️ A machine lifts a load of 210 N when you push with 70 N. What is its mechanical advantage (MA)?
- 36.🏋️ A machine lifts a load of 540 N when you push with 90 N. What is its mechanical advantage (MA)?
- 37.🏋️ Pushing a crate 3 m took 480 J of work. What force was used, in newtons?
- 38.🏋️ In which unit is work measured? (a) metre (m) (b) newton (N) (c) joule (J) (d) watt hour
- 39.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 100 N box up it, in newtons? (ideal ramp, no friction)
- 40.🏋️ A machine lifts a load of 180 N when you push with 60 N. What is its mechanical advantage (MA)?
Answer key
- 600
- 50
- no, work stays the same
- 9
- 3
- 120
- 90
- 2820
- 20
- load ÷ effort
- 1170
- 80
- 450
- 3600
- 9
- 70
- 2
- 4
- 9
- 1
- 550
- 70
- 920
- 900
- 350
- 30
- less effort
- 40
- 1
- 380
- 800
- 70
- 90
- through a distance
- 3
- 6
- 160
- joule (J)
- 50
- 3
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