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 machine lifts a load of 700 N when you push with 140 N. What is its mechanical advantage (MA)?
- 2.🏋️ Pushing a crate 4 m took 1920 J of work. What force was used, in newtons?
- 3.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) load × effort (c) load ÷ effort (d) effort ÷ load
- 4.🏋️ A force of 280 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 5.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 1050 N box up it, in newtons? (ideal ramp, no friction)
- 6.🏋️ In which unit is work measured? (a) joule (J) (b) watt hour (c) newton (N) (d) metre (m)
- 7.🏋️ Pushing a crate 5 m took 1250 J of work. What force was used, in newtons?
- 8.🏋️ A force of 220 N did 220 J of work. How many metres did the object move?
- 9.🏋️ 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?
- 10.🏋️ A force of 190 N did 950 J of work. How many metres did the object move?
- 11.🏋️ Pushing a crate 2 m took 640 J of work. What force was used, in newtons?
- 12.🏋️ A force of 450 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 13.🏋️ Work is done when a force moves something … (a) only upwards (b) very slowly (c) without moving it (d) through a distance
- 14.🏋️ A force of 500 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 15.🏋️ A smooth ramp is 6 m long and rises 3 m. What effort pushes a 400 N box up it, in newtons? (ideal ramp, no friction)
- 16.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 300 N box up it, in newtons? (ideal ramp, no friction)
- 17.🏋️ A longer ramp to the same height needs … (a) the same effort (b) less effort (c) more effort (d) no effort
- 18.🏋️ Pushing a crate 4 m took 1520 J of work. What force was used, in newtons?
- 19.🏋️ A force of 90 N pushes a cart 5 m along the floor. How much work is done, in joules?
- 20.🏋️ A force of 230 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 21.🏋️ Pushing a crate 1 m took 370 J of work. What force was used, in newtons?
- 22.🏋️ A force of 40 N did 360 J of work. How many metres did the object move?
- 23.🏋️ A 19 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 260 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 25.🏋️ A force of 460 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 26.🏋️ A 2 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 27.🏋️ A force of 260 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 28.🏋️ A force of 150 N did 450 J of work. How many metres did the object move?
- 29.🏋️ A force of 380 N did 760 J of work. How many metres did the object move?
- 30.🏋️ Can a simple machine reduce the work done? (a) yes, by half (b) only on Mondays (c) yes, always (d) no, work stays the same
- 31.🏋️ A force of 270 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 32.🏋️ A force of 430 N did 430 J of work. How many metres did the object move?
- 33.🏋️ A force of 340 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 34.🏋️ A force of 130 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 35.🏋️ A 4 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 36.🏋️ A machine lifts a load of 60 N when you push with 30 N. What is its mechanical advantage (MA)?
- 37.🏋️ A force of 410 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 38.🏋️ A machine lifts a load of 50 N when you push with 10 N. What is its mechanical advantage (MA)?
- 39.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 2400 N box up it, in newtons? (ideal ramp, no friction)
- 40.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 2500 N box up it, in newtons? (ideal ramp, no friction)
Answer key
- 5
- 480
- load ÷ effort
- 840
- 350
- joule (J)
- 250
- 1
- 650
- 5
- 320
- 1350
- through a distance
- 3500
- 200
- 150
- less effort
- 380
- 450
- 230
- 370
- 9
- 190
- 2080
- 460
- 80
- 1560
- 3
- 2
- no, work stays the same
- 540
- 1
- 3400
- 1040
- 120
- 2
- 1230
- 5
- 800
- 500
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