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.
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- 1.🏋️ In which unit is work measured? (a) watt hour (b) joule (J) (c) metre (m) (d) newton (N)
- 2.🏋️ Can a simple machine reduce the work done? (a) only on Mondays (b) yes, by half (c) yes, always (d) no, work stays the same
- 3.🏋️ A smooth ramp is 12 m long and rises 3 m. What effort pushes a 3000 N box up it, in newtons? (ideal ramp, no friction)
- 4.🏋️ A 16 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 5.🏋️ Pushing a crate 1 m took 200 J of work. What force was used, in newtons?
- 6.🏋️ A force of 410 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 7.🏋️ A 5 kg box is lifted straight up by 5 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 8.🏋️ A 16 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 9.🏋️ A 7 kg box is lifted straight up by 1 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 10.🏋️ A force of 480 N pushes a cart 3 m along the floor. How much work is done, in joules?
- 11.🏋️ A machine lifts a load of 720 N when you push with 120 N. What is its mechanical advantage (MA)?
- 12.🏋️ Pushing a crate 5 m took 400 J of work. What force was used, in newtons?
- 13.🏋️ A machine lifts a load of 260 N when you push with 130 N. What is its mechanical advantage (MA)?
- 14.🏋️ A force of 330 N did 2970 J of work. How many metres did the object move?
- 15.🏋️ Mechanical advantage (MA) = … (a) load + effort (b) load × effort (c) load ÷ effort (d) effort ÷ load
- 16.🏋️ A force of 280 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 17.🏋️ A force of 290 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 18.🏋️ Work is done when a force moves something … (a) through a distance (b) very slowly (c) only upwards (d) without moving it
- 19.🏋️ A machine lifts a load of 20 N when you push with 10 N. What is its mechanical advantage (MA)?
- 20.🏋️ A force of 490 N pushes a cart 2 m along the floor. How much work is done, in joules?
- 21.🏋️ Pushing a crate 4 m took 1520 J of work. What force was used, in newtons?
- 22.🏋️ 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)
- 23.🏋️ A force of 120 N pushes a cart 10 m along the floor. How much work is done, in joules?
- 24.🏋️ A machine lifts a load of 240 N when you push with 60 N. What is its mechanical advantage (MA)?
- 25.🏋️ Pushing a crate 7 m took 2590 J of work. What force was used, in newtons?
- 26.🏋️ A 9 kg box is lifted straight up by 3 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 27.🏋️ Pushing a crate 2 m took 320 J of work. What force was used, in newtons?
- 28.🏋️ A force of 340 N pushes a cart 4 m along the floor. How much work is done, in joules?
- 29.🏋️ A force of 50 N pushes a cart 9 m along the floor. How much work is done, in joules?
- 30.🏋️ Pushing a crate 1 m took 370 J of work. What force was used, in newtons?
- 31.🏋️ An 8 kg box is lifted straight up by 4 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 32.🏋️ Pushing a crate 2 m took 300 J of work. What force was used, in newtons?
- 33.🏋️ Pushing a crate 10 m took 1300 J of work. What force was used, in newtons?
- 34.🏋️ A force of 260 N pushes a cart 8 m along the floor. How much work is done, in joules?
- 35.🏋️ A force of 250 N did 2250 J of work. How many metres did the object move?
- 36.🏋️ A force of 350 N pushes a cart 6 m along the floor. How much work is done, in joules?
- 37.🏋️ Pushing a crate 2 m took 700 J of work. What force was used, in newtons?
- 38.🏋️ A 13 kg box is lifted straight up by 2 m. Taking 1 kg to weigh about 10 N, how much work is done, in joules?
- 39.🏋️ A smooth ramp is 4 m long and rises 2 m. What effort pushes a 900 N box up it, in newtons? (ideal ramp, no friction)
- 40.🏋️ A smooth ramp is 18 m long and rises 3 m. What effort pushes a 5100 N box up it, in newtons? (ideal ramp, no friction)
Answer key
- joule (J)
- no, work stays the same
- 750
- 320
- 200
- 2460
- 250
- 160
- 70
- 1440
- 6
- 80
- 2
- 9
- load ÷ effort
- 2240
- 580
- through a distance
- 2
- 980
- 380
- 300
- 1200
- 4
- 370
- 270
- 160
- 1360
- 450
- 370
- 320
- 150
- 130
- 2080
- 9
- 2100
- 350
- 260
- 450
- 850
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