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 17 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 310 N did 2790 J of work. How many metres did the object move?
- 3.🏋️ A 4 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 4.🏋️ Pushing a crate 9 m took 4500 J of work. What force was used, in newtons?
- 5.🏋️ A force of 290 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 6.🏋️ A machine lifts a load of 600 N when you push with 200 N. What is its mechanical advantage (MA)?
- 7.🏋️ Pushing a crate 2 m took 500 J of work. What force was used, in newtons?
- 8.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 6000 N box up it, in newtons? (ideal ramp, no friction)
- 9.🏋️ Mechanical advantage (MA) = … (a) effort ÷ load (b) load ÷ effort (c) load + effort (d) load × effort
- 10.🏋️ Work is done when a force moves something … (a) only upwards (b) very slowly (c) through a distance (d) without moving it
- 11.🏋️ Pushing a crate 9 m took 3060 J of work. What force was used, in newtons?
- 12.🏋️ Pushing a crate 2 m took 440 J of work. What force was used, in newtons?
- 13.🏋️ Pushing a crate 7 m took 280 J of work. What force was used, in newtons?
- 14.🏋️ A smooth ramp is 10 m long and rises 2 m. What effort pushes a 5000 N box up it, in newtons? (ideal ramp, no friction)
- 15.🏋️ A force of 180 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 16.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 1400 N box up it, in newtons? (ideal ramp, no friction)
- 17.🏋️ A force of 220 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 18.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 150 N box up it, in newtons? (ideal ramp, no friction)
- 19.🏋️ Pushing a crate 3 m took 960 J of work. What force was used, in newtons?
- 20.🏋️ Can a simple machine reduce the work done? (a) only on Mondays (b) no, work stays the same (c) yes, always (d) yes, by half
- 21.🏋️ A force of 140 N did 1260 J of work. How many metres did the object move?
- 22.🏋️ A force of 110 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 23.🏋️ Pushing a crate 7 m took 2590 J of work. What force was used, in newtons?
- 24.🏋️ In which unit is work measured? (a) metre (m) (b) watt hour (c) newton (N) (d) joule (J)
- 25.🏋️ A force of 250 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 26.🏋️ A force of 50 N did 250 J of work. How many metres did the object move?
- 27.🏋️ A machine lifts a load of 240 N when you push with 40 N. What is its mechanical advantage (MA)?
- 28.🏋️ A force of 480 N did 4800 J of work. How many metres did the object move?
- 29.🏋️ A machine lifts a load of 510 N when you push with 170 N. What is its mechanical advantage (MA)?
- 30.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 1000 N box up it, in newtons? (ideal ramp, no friction)
- 31.🏋️ A 10 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 32.🏋️ A machine lifts a load of 380 N when you push with 190 N. What is its mechanical advantage (MA)?
- 33.🏋️ Pushing a crate 4 m took 600 J of work. What force was used, in newtons?
- 34.🏋️ A force of 150 N did 150 J of work. How many metres did the object move?
- 35.🏋️ A machine lifts a load of 320 N when you push with 160 N. What is its mechanical advantage (MA)?
- 36.🏋️ A machine lifts a load of 1020 N when you push with 170 N. What is its mechanical advantage (MA)?
- 37.🏋️ A force of 50 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 38.🏋️ A force of 90 N did 630 J of work. How many metres did the object move?
- 39.🏋️ A force of 490 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 40.🏋️ A smooth ramp is 5 m long and rises 1 m. What effort pushes a 4750 N box up it, in newtons? (ideal ramp, no friction)
Answer key
- 850
- 9
- 40
- 500
- 580
- 3
- 250
- 1000
- load ÷ effort
- through a distance
- 340
- 220
- 40
- 1000
- 180
- 350
- 1760
- 50
- 320
- no, work stays the same
- 9
- 220
- 370
- joule (J)
- 750
- 5
- 6
- 10
- 3
- 200
- 200
- 2
- 150
- 1
- 2
- 6
- 450
- 7
- 980
- 950
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