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 6 m took 2520 J of work. What force was used, in newtons?
- 2.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 3600 N box up it, in newtons? (ideal ramp, no friction)
- 3.🏋️ A force of 140 N did 1400 J of work. How many metres did the object move?
- 4.🏋️ A force of 340 N did 1700 J of work. How many metres did the object move?
- 5.🏋️ A 12 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 6.🏋️ Pushing a crate 6 m took 660 J of work. What force was used, in newtons?
- 7.🏋️ A force of 80 N did 800 J of work. How many metres did the object move?
- 8.🏋️ A machine lifts a load of 30 N when you push with 10 N. What is its mechanical advantage (MA)?
- 9.🏋️ A machine lifts a load of 330 N when you push with 110 N. What is its mechanical advantage (MA)?
- 10.🏋️ A force of 240 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 11.🏋️ A 7 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 12.🏋️ A force of 210 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 13.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 200 N box up it, in newtons? (ideal ramp, no friction)
- 14.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes a 3400 N box up it, in newtons? (ideal ramp, no friction)
- 15.🏋️ Pushing a crate 6 m took 300 J of work. What force was used, in newtons?
- 16.🏋️ A 1 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 17.🏋️ Pushing a crate 7 m took 1260 J of work. What force was used, in newtons?
- 18.🏋️ Pushing a crate 1 m took 290 J of work. What force was used, in newtons?
- 19.🏋️ Work is done when a force moves something … (a) through a distance (b) only upwards (c) without moving it (d) very slowly
- 20.🏋️ Pushing a crate 1 m took 40 J of work. What force was used, in newtons?
- 21.🏋️ 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?
- 22.🏋️ A machine lifts a load of 120 N when you push with 40 N. What is its mechanical advantage (MA)?
- 23.🏋️ A machine lifts a load of 1080 N when you push with 180 N. What is its mechanical advantage (MA)?
- 24.🏋️ Mechanical advantage (MA) = … (a) load × effort (b) load + effort (c) effort ÷ load (d) load ÷ effort
- 25.🏋️ A 5 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 26.🏋️ A machine lifts a load of 680 N when you push with 170 N. What is its mechanical advantage (MA)?
- 27.🏋️ A machine lifts a load of 540 N when you push with 180 N. What is its mechanical advantage (MA)?
- 28.🏋️ A machine lifts a load of 240 N when you push with 40 N. What is its mechanical advantage (MA)?
- 29.🏋️ 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?
- 30.🏋️ A force of 420 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 31.🏋️ Can a simple machine reduce the work done? (a) no, work stays the same (b) yes, always (c) only on Mondays (d) yes, by half
- 32.🏋️ A 16 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 33.🏋️ A smooth ramp is 9 m long and rises 3 m. What effort pushes a 1800 N box up it, in newtons? (ideal ramp, no friction)
- 34.🏋️ Pushing a crate 9 m took 990 J of work. What force was used, in newtons?
- 35.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 450 N box up it, in newtons? (ideal ramp, no friction)
- 36.🏋️ A machine lifts a load of 220 N when you push with 110 N. What is its mechanical advantage (MA)?
- 37.🏋️ In which unit is work measured? (a) watt hour (b) joule (J) (c) metre (m) (d) newton (N)
- 38.🏋️ Pushing a crate 10 m took 1300 J of work. What force was used, in newtons?
- 39.🏋️ A longer ramp to the same height needs … (a) the same effort (b) no effort (c) less effort (d) more effort
- 40.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 100 N box up it, in newtons? (ideal ramp, no friction)
Answer key
- 420
- 900
- 10
- 5
- 240
- 110
- 10
- 3
- 3
- 240
- 350
- 2100
- 50
- 850
- 50
- 40
- 180
- 290
- through a distance
- 40
- 220
- 3
- 6
- load ÷ effort
- 200
- 4
- 3
- 6
- 650
- 420
- no, work stays the same
- 800
- 600
- 110
- 150
- 2
- joule (J)
- 130
- less effort
- 50
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