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 2 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 2.🏋️ A force of 360 N did 2520 J of work. How many metres did the object move?
- 3.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 100 N box up it, in newtons? (ideal ramp, no friction)
- 4.🏋️ 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?
- 5.🏋️ Pushing a crate 5 m took 2300 J of work. What force was used, in newtons?
- 6.🏋️ Pushing a crate 3 m took 1230 J of work. What force was used, in newtons?
- 7.🏋️ Pushing a crate 6 m took 960 J of work. What force was used, in newtons?
- 8.🏋️ Pushing a crate 8 m took 1200 J of work. What force was used, in newtons?
- 9.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 100 N box up it, in newtons? (ideal ramp, no friction)
- 10.🏋️ Pushing a crate 7 m took 2730 J of work. What force was used, in newtons?
- 11.🏋️ A longer ramp to the same height needs … (a) more effort (b) less effort (c) the same effort (d) no effort
- 12.🏋️ A machine lifts a load of 220 N when you push with 110 N. What is its mechanical advantage (MA)?
- 13.🏋️ A force of 490 N did 2450 J of work. How many metres did the object move?
- 14.🏋️ An 18 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 15.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 3600 N box up it, in newtons? (ideal ramp, no friction)
- 16.🏋️ A force of 150 N did 900 J of work. How many metres did the object move?
- 17.🏋️ Can a simple machine reduce the work done? (a) yes, always (b) yes, by half (c) no, work stays the same (d) only on Mondays
- 18.🏋️ Pushing a crate 7 m took 3220 J of work. What force was used, in newtons?
- 19.🏋️ A 1 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 20.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 1500 N box up it, in newtons? (ideal ramp, no friction)
- 21.🏋️ Pushing a crate 10 m took 1300 J of work. What force was used, in newtons?
- 22.🏋️ A force of 50 N did 150 J of work. How many metres did the object move?
- 23.🏋️ Pushing a crate 7 m took 840 J of work. What force was used, in newtons?
- 24.🏋️ Work is done when a force moves something … (a) without moving it (b) only upwards (c) very slowly (d) through a distance
- 25.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 3000 N box up it, in newtons? (ideal ramp, no friction)
- 26.🏋️ Pushing a crate 1 m took 60 J of work. What force was used, in newtons?
- 27.🏋️ A force of 420 N did 4200 J of work. How many metres did the object move?
- 28.🏋️ A force of 460 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 29.🏋️ A force of 260 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 30.🏋️ Pushing a crate 1 m took 270 J of work. What force was used, in newtons?
- 31.🏋️ Pushing a crate 1 m took 360 J of work. What force was used, in newtons?
- 32.🏋️ Pushing a crate 6 m took 1500 J of work. What force was used, in newtons?
- 33.🏋️ A force of 250 N did 2500 J of work. How many metres did the object move?
- 34.🏋️ Pushing a crate 1 m took 260 J of work. What force was used, in newtons?
- 35.🏋️ A 3 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 36.🏋️ A force of 40 N did 320 J of work. How many metres did the object move?
- 37.🏋️ Mechanical advantage (MA) = … (a) load ÷ effort (b) load + effort (c) load × effort (d) effort ÷ load
- 38.🏋️ 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?
- 39.🏋️ Pushing a crate 10 m took 700 J of work. What force was used, in newtons?
- 40.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 150 N box up it, in newtons? (ideal ramp, no friction)
Answer key
- 100
- 7
- 50
- 550
- 460
- 410
- 160
- 150
- 50
- 390
- less effort
- 2
- 5
- 900
- 600
- 6
- no, work stays the same
- 460
- 50
- 300
- 130
- 3
- 120
- through a distance
- 1000
- 60
- 10
- 4600
- 260
- 270
- 360
- 250
- 10
- 260
- 120
- 8
- load ÷ effort
- 320
- 70
- 50
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