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 force of 40 N did 320 J of work. How many metres did the object move?
- 2.🏋️ 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?
- 3.🏋️ Pushing a crate 3 m took 210 J of work. What force was used, in newtons?
- 4.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) load × effort (c) effort ÷ load (d) load ÷ effort
- 5.🏋️ Work is done when a force moves something … (a) without moving it (b) through a distance (c) only upwards (d) very slowly
- 6.🏋️ A machine lifts a load of 350 N when you push with 70 N. What is its mechanical advantage (MA)?
- 7.🏋️ A 3 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 8.🏋️ Pushing a crate 10 m took 1500 J of work. What force was used, in newtons?
- 9.🏋️ Pushing a crate 1 m took 50 J of work. What force was used, in newtons?
- 10.🏋️ A longer ramp to the same height needs … (a) less effort (b) no effort (c) more effort (d) the same effort
- 11.🏋️ A force of 340 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 12.🏋️ Can a simple machine reduce the work done? (a) yes, always (b) no, work stays the same (c) only on Mondays (d) yes, by half
- 13.🏋️ A 4 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 14.🏋️ A machine lifts a load of 150 N when you push with 50 N. What is its mechanical advantage (MA)?
- 15.🏋️ A force of 290 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 16.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 3500 N box up it, in newtons? (ideal ramp, no friction)
- 17.🏋️ A force of 420 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 18.🏋️ A machine lifts a load of 1080 N when you push with 180 N. What is its mechanical advantage (MA)?
- 19.🏋️ A smooth ramp is 3 m long and rises 1 m. What effort pushes a 1950 N box up it, in newtons? (ideal ramp, no friction)
- 20.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 3000 N box up it, in newtons? (ideal ramp, no friction)
- 21.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 2100 N box up it, in newtons? (ideal ramp, no friction)
- 22.🏋️ Pushing a crate 10 m took 1200 J of work. What force was used, in newtons?
- 23.🏋️ A force of 390 N pushes a cart 7 m along the floor. How much work is done, in joules?
- 24.🏋️ A machine lifts a load of 20 N when you push with 10 N. What is its mechanical advantage (MA)?
- 25.🏋️ A smooth ramp is 4 m long and rises 1 m. What effort pushes a 1800 N box up it, in newtons? (ideal ramp, no friction)
- 26.🏋️ A force of 180 N did 1080 J of work. How many metres did the object move?
- 27.🏋️ A force of 480 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 28.🏋️ A force of 330 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 29.🏋️ A force of 60 N did 540 J of work. How many metres did the object move?
- 30.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 3250 N box up it, in newtons? (ideal ramp, no friction)
- 31.🏋️ A force of 490 N did 980 J of work. How many metres did the object move?
- 32.🏋️ A 15 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 33.🏋️ A force of 430 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 34.🏋️ Pushing a crate 4 m took 80 J of work. What force was used, in newtons?
- 35.🏋️ Pushing a crate 2 m took 820 J of work. What force was used, in newtons?
- 36.🏋️ Pushing a crate 8 m took 720 J of work. What force was used, in newtons?
- 37.🏋️ A 20 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.🏋️ In which unit is work measured? (a) joule (J) (b) newton (N) (c) watt hour (d) metre (m)
- 39.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 900 N box up it, in newtons? (ideal ramp, no friction)
- 40.🏋️ A force of 210 N pushes a cart 7 m along the floor. How much work is done, in joules?
Answer key
- 8
- 280
- 70
- load ÷ effort
- through a distance
- 5
- 90
- 150
- 50
- less effort
- 340
- no, work stays the same
- 80
- 3
- 870
- 700
- 840
- 6
- 650
- 1000
- 700
- 120
- 2730
- 2
- 450
- 6
- 4800
- 2640
- 9
- 650
- 2
- 150
- 2580
- 20
- 410
- 90
- 1000
- joule (J)
- 150
- 1470
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