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.🏋️ Pushing a crate 2 m took 740 J of work. What force was used, in newtons?
- 2.🏋️ Pushing a crate 7 m took 2310 J of work. What force was used, in newtons?
- 3.🏋️ A force of 380 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 4.🏋️ A longer ramp to the same height needs … (a) the same effort (b) more effort (c) no effort (d) less effort
- 5.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes an 800 N box up it, in newtons? (ideal ramp, no friction)
- 6.🏋️ 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?
- 7.🏋️ A force of 260 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 8.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load + effort (c) load × effort (d) load ÷ effort
- 9.🏋️ Pushing a crate 6 m took 2580 J of work. What force was used, in newtons?
- 10.🏋️ A force of 450 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 11.🏋️ Pushing a crate 2 m took 240 J of work. What force was used, in newtons?
- 12.🏋️ 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?
- 13.🏋️ A machine lifts a load of 100 N when you push with 50 N. What is its mechanical advantage (MA)?
- 14.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 1400 N box up it, in newtons? (ideal ramp, no friction)
- 15.🏋️ Work is done when a force moves something … (a) without moving it (b) very slowly (c) only upwards (d) through a distance
- 16.🏋️ A force of 70 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 17.🏋️ A machine lifts a load of 80 N when you push with 40 N. What is its mechanical advantage (MA)?
- 18.🏋️ A force of 200 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 19.🏋️ A force of 460 N did 1380 J of work. How many metres did the object move?
- 20.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 1200 N box up it, in newtons? (ideal ramp, no friction)
- 21.🏋️ Pushing a crate 6 m took 660 J of work. What force was used, in newtons?
- 22.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 1650 N box up it, in newtons? (ideal ramp, no friction)
- 23.🏋️ A machine lifts a load of 320 N when you push with 80 N. What is its mechanical advantage (MA)?
- 24.🏋️ A force of 60 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 25.🏋️ A force of 410 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 26.🏋️ A force of 260 N did 2080 J of work. How many metres did the object move?
- 27.🏋️ A machine lifts a load of 150 N when you push with 30 N. What is its mechanical advantage (MA)?
- 28.🏋️ In which unit is work measured? (a) watt hour (b) newton (N) (c) metre (m) (d) joule (J)
- 29.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 4800 N box up it, in newtons? (ideal ramp, no friction)
- 30.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 2000 N box up it, in newtons? (ideal ramp, no friction)
- 31.🏋️ A force of 40 N did 280 J of work. How many metres did the object move?
- 32.🏋️ An 11 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 33.🏋️ Pushing a crate 6 m took 360 J of work. What force was used, in newtons?
- 34.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 500 N box up it, in newtons? (ideal ramp, no friction)
- 35.🏋️ A force of 470 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 36.🏋️ A machine lifts a load of 90 N when you push with 30 N. What is its mechanical advantage (MA)?
- 37.🏋️ A 10 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 38.🏋️ Pushing a crate 8 m took 480 J of work. What force was used, in newtons?
- 39.🏋️ A force of 390 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 40.🏋️ Can a simple machine reduce the work done? (a) only on Mondays (b) yes, by half (c) yes, always (d) no, work stays the same
Answer key
- 370
- 330
- 1140
- less effort
- 200
- 900
- 780
- load ÷ effort
- 430
- 450
- 120
- 120
- 2
- 350
- through a distance
- 560
- 2
- 2000
- 3
- 400
- 110
- 550
- 4
- 180
- 2460
- 8
- 5
- joule (J)
- 800
- 400
- 7
- 220
- 60
- 100
- 4230
- 3
- 500
- 60
- 3510
- no, work stays the same
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