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.🏋️ Work is done when a force moves something … (a) through a distance (b) without moving it (c) only upwards (d) very slowly
- 2.🏋️ A force of 40 N did 160 J of work. How many metres did the object move?
- 3.🏋️ Pushing a crate 3 m took 1260 J of work. What force was used, in newtons?
- 4.🏋️ A machine lifts a load of 340 N when you push with 170 N. What is its mechanical advantage (MA)?
- 5.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 1600 N box up it, in newtons? (ideal ramp, no friction)
- 6.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 2250 N box up it, in newtons? (ideal ramp, no friction)
- 7.🏋️ Pushing a crate 7 m took 3290 J of work. What force was used, in newtons?
- 8.🏋️ A machine lifts a load of 560 N when you push with 140 N. What is its mechanical advantage (MA)?
- 9.🏋️ Pushing a crate 7 m took 1050 J of work. What force was used, in newtons?
- 10.🏋️ Can a simple machine reduce the work done? (a) only on Mondays (b) yes, always (c) yes, by half (d) no, work stays the same
- 11.🏋️ A force of 220 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 12.🏋️ A force of 350 N did 3150 J of work. How many metres did the object move?
- 13.🏋️ Pushing a crate 2 m took 960 J of work. What force was used, in newtons?
- 14.🏋️ A force of 430 N did 1290 J of work. How many metres did the object move?
- 15.🏋️ A force of 50 N did 150 J of work. How many metres did the object move?
- 16.🏋️ In which unit is work measured? (a) watt hour (b) newton (N) (c) joule (J) (d) metre (m)
- 17.🏋️ A force of 490 N did 4900 J of work. How many metres did the object move?
- 18.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 3250 N box up it, in newtons? (ideal ramp, no friction)
- 19.🏋️ Pushing a crate 8 m took 1120 J of work. What force was used, in newtons?
- 20.🏋️ A longer ramp to the same height needs … (a) the same effort (b) less effort (c) more effort (d) no effort
- 21.🏋️ A 15 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 smooth ramp is 15 m long and rises 3 m. What effort pushes a 750 N box up it, in newtons? (ideal ramp, no friction)
- 23.🏋️ Mechanical advantage (MA) = … (a) load × effort (b) load ÷ effort (c) effort ÷ load (d) load + effort
- 24.🏋️ A machine lifts a load of 60 N when you push with 20 N. What is its mechanical advantage (MA)?
- 25.🏋️ Pushing a crate 7 m took 630 J of work. What force was used, in newtons?
- 26.🏋️ Pushing a crate 3 m took 660 J of work. What force was used, in newtons?
- 27.🏋️ A force of 170 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 28.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 1200 N box up it, in newtons? (ideal ramp, no friction)
- 29.🏋️ A machine lifts a load of 380 N when you push with 190 N. What is its mechanical advantage (MA)?
- 30.🏋️ A smooth ramp is 2 m long and rises 1 m. What effort pushes a 900 N box up it, in newtons? (ideal ramp, no friction)
- 31.🏋️ A force of 100 N did 300 J of work. How many metres did the object move?
- 32.🏋️ A force of 390 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 33.🏋️ Pushing a crate 1 m took 370 J of work. What force was used, in newtons?
- 34.🏋️ A force of 340 N did 1020 J of work. How many metres did the object move?
- 35.🏋️ A 3 kg box is lifted straight up by 1 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 10 N. What is its mechanical advantage (MA)?
- 37.🏋️ A 12 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 38.🏋️ A machine lifts a load of 200 N when you push with 50 N. What is its mechanical advantage (MA)?
- 39.🏋️ A 9 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 40.🏋️ 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?
Answer key
- through a distance
- 4
- 420
- 2
- 800
- 450
- 470
- 4
- 150
- no, work stays the same
- 1760
- 9
- 480
- 3
- 3
- joule (J)
- 10
- 650
- 140
- less effort
- 750
- 150
- load ÷ effort
- 3
- 90
- 220
- 1020
- 300
- 2
- 450
- 3
- 1560
- 370
- 3
- 30
- 6
- 480
- 4
- 450
- 280
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