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 9 m took 810 J of work. What force was used, in newtons?
- 2.🏋️ A longer ramp to the same height needs … (a) the same effort (b) less effort (c) no effort (d) more effort
- 3.🏋️ A force of 50 N did 50 J of work. How many metres did the object move?
- 4.🏋️ Mechanical advantage (MA) = … (a) load × effort (b) load ÷ effort (c) effort ÷ load (d) load + effort
- 5.🏋️ A machine lifts a load of 220 N when you push with 110 N. What is its mechanical advantage (MA)?
- 6.🏋️ A force of 330 N did 1320 J of work. How many metres did the object move?
- 7.🏋️ A force of 500 N did 2000 J of work. How many metres did the object move?
- 8.🏋️ Pushing a crate 2 m took 540 J of work. What force was used, in newtons?
- 9.🏋️ Work is done when a force moves something … (a) through a distance (b) very slowly (c) only upwards (d) without moving it
- 10.🏋️ Pushing a crate 2 m took 80 J of work. What force was used, in newtons?
- 11.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 1000 N box up it, in newtons? (ideal ramp, no friction)
- 12.🏋️ A force of 490 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 13.🏋️ Can a simple machine reduce the work done? (a) yes, always (b) only on Mondays (c) no, work stays the same (d) yes, by half
- 14.🏋️ A machine lifts a load of 800 N when you push with 160 N. What is its mechanical advantage (MA)?
- 15.🏋️ A machine lifts a load of 390 N when you push with 130 N. What is its mechanical advantage (MA)?
- 16.🏋️ A machine lifts a load of 80 N when you push with 40 N. What is its mechanical advantage (MA)?
- 17.🏋️ A machine lifts a load of 1200 N when you push with 200 N. What is its mechanical advantage (MA)?
- 18.🏋️ A smooth ramp is 6 m long and rises 1 m. What effort pushes a 3900 N box up it, in newtons? (ideal ramp, no friction)
- 19.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 1300 N box up it, in newtons? (ideal ramp, no friction)
- 20.🏋️ 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?
- 21.🏋️ Pushing a crate 4 m took 640 J of work. What force was used, in newtons?
- 22.🏋️ In which unit is work measured? (a) watt hour (b) metre (m) (c) newton (N) (d) joule (J)
- 23.🏋️ A 15 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 24.🏋️ A smooth ramp is 12 m long and rises 2 m. What effort pushes a 900 N box up it, in newtons? (ideal ramp, no friction)
- 25.🏋️ A smooth ramp is 15 m long and rises 3 m. What effort pushes a 1750 N box up it, in newtons? (ideal ramp, no friction)
- 26.🏋️ A 12 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 27.🏋️ A smooth ramp is 8 m long and rises 2 m. What effort pushes an 800 N box up it, in newtons? (ideal ramp, no friction)
- 28.🏋️ A 1 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 29.🏋️ A machine lifts a load of 20 N when you push with 10 N. What is its mechanical advantage (MA)?
- 30.🏋️ Pushing a crate 7 m took 980 J of work. What force was used, in newtons?
- 31.🏋️ A force of 430 N pushes a cart 1 m along the floor. How much work is done, in joules?
- 32.🏋️ 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?
- 33.🏋️ A smooth ramp is 6 m long and rises 2 m. What effort pushes a 1050 N box up it, in newtons? (ideal ramp, no friction)
- 34.🏋️ A 2 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 35.🏋️ 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?
- 36.🏋️ An 18 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 37.🏋️ A 12 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.🏋️ A 15 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 39.🏋️ A 4 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 40.🏋️ A machine lifts a load of 90 N when you push with 30 N. What is its mechanical advantage (MA)?
Answer key
- 90
- less effort
- 1
- load ÷ effort
- 2
- 4
- 4
- 270
- through a distance
- 40
- 500
- 4410
- no, work stays the same
- 5
- 3
- 2
- 6
- 650
- 650
- 80
- 160
- joule (J)
- 600
- 150
- 350
- 120
- 200
- 10
- 2
- 140
- 430
- 40
- 350
- 40
- 220
- 360
- 600
- 450
- 160
- 3
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